47th SEICCGTC ABSTRACTS 


AbayAsmerom, Ghidewon  Virginia Commonwealth University 
Spectral Features of Graphs Associated with the Geez Writing System 
Abreu, Marien  Universit`a degli Studi della Basilicata  
Adachi, Tomoko  Toho University 
Some construction of cluttered orderings for the complete bipartite graph 
Ahmad, Uzma 
University of the Punjab,
New Campus, Lahore, Pakistan 
On Automorphism Group Action and topological indices for Certain Families of Dendrimers 
Arangno, Deborah  LenoirRhyne University  
Bailey, Sean  Utah State University  
Barnett, Johnathan  Auburn University  
Bartha, Miklos  Memorial University of Newfoundland  
Beasley, LeRoy  Utah State University  
Benjamin, Arthur  Harvey Mudd College 
Tiling with Fibonomials, qbinomials, and Chebyshev polynomials 
Benjamin, Arthur  Harvey Mudd College  
Betten, Anton  Colorado State University  
Bickle, Allan  Grand Valley State University  
Birmajer, Daniel  Nazareth College of Rochester  
Blackburn, Simon  Royal Holloway University of London  
Blackburn, Simon  Royal Holloway University of London  
Bode, JensP  TU Braunschweig  
Bozeman, Chassidy  Iowa State University  
Brown, David  Utah State University  
Buelow, Zac  Marquette University  
Burns, Jonathan  University of South Florida  
Butler, Steve  Iowa State University  
Caliskan, Cafer  Kadir Has University, Istanbul  
Chan, Wai Hong  H.Y. Lau, The Hong Kong Institute of Education  
Cheng, Eddie  Oakland University 
Matching preclusion and conditional matching preclusion problems for the folded Petersen cube 
Chi, Henjin  Indiana State University  
Chia, Davin  Middlebury College  
Chopra, Dharam  Wichita State University 
Further Contributions to Factorial Designs of Resolution Ten and Balanced Arrays of Strength Nine 
Christman, Ananya  Middlebury College  
Churchill, Gregory  University of South Florida  
Conceicao, Ricardo  Gettysburg College  
Couch, PJ  Lamar University 
The Metamorphosis of 2fold Triple Systems into Maximum Packings of 2Kn with 
Cream, Megan  Spelman College  
Curran, Stephen  University of Pittsburgh at Johnstown  
Dankelmann, Peter  University of Johannesburg  
Davoudi, Anahita  University of Central Florida  
Driscoll, Keith  Clayton State University  
Droz, Daniel  Penn State University  
Dufour, Matthieu  University of Quebec at Montreal  
Durbin, Alexander  Michigan State University  
Dyer, Danny  Memorial University of Newfoundland  
Dymacek, Wayne  Washington and Lee University  
Early, Edward  Mathworks at Texas State University  
Effinger, Gove  Skidmore College 
The Polynomial Euclidean Algorithm and the Linear Equation AX + BY = gcd(A, B) 
Ellingham, Mark  Vanderbilt University  
Erickson, Lindsay  Augustana University  
Fallon, Joshua  Louisiana State University  
Faria, Luerbio  Universidade do Estado do Rio de Janeiro, Brasil  
Fenstermacher, Todd  Clemson University  
Fernando, Neranga  Northeastern University  
Ferrara, Michael  University of Colorado Denver  
Ferrero, Daniela  Texas State University  
Folts, Edward, III  California State University, San Bernardino  
Froncek, Dalibor  University of Minnesota, Duluth  
Fry, Andy  Colorado State University  
Fuller, Jessica  Emory University  
Gil, Juan  Penn State University, Altoona  
GomezCalderon, Javier  Penn State University  
Gould, Ronald  Emory University  
Grez, Armando  Iowa State University 
New Upper Bounds on the Distance Domination Numbers of Grids 
Grimaldi, Ralph  RoseHulman Institute of Technology  
Gronau, HansDietrich O.F.  University of Rostock, German  
Hammer, James  Cedar Crest College  
Harborth, Heiko  TU Brauschweig, Germany  
Haxell, Penny  University of Waterloo  
Haxell, Penny  University of Waterloo  
Haymaker, Katie  Villanova University 
Sums of subsets of GF(2r) and applications to the qary partial erasure channel 
He, Qijun  Clemson University  
Heissan, A. M.  Manhattenville College 
An extension of Beineke to the Prototype Representation P(3, 1) 
Heinig, Monika  Stevens Institute of Technology 
On Reliability Models Associated with the Edge Domination Number for Unicycles 
Heubach, Silvia  California State University, Los Angeles  
Heysse, Kristin  Iowa State University 
Cospectral Graphs for the Normalized Laplacian by “Toggling” 
Hogben, Leslie  Iowa State University  
Hogben, Leslie  Iowa State University 
Generalizations of the Strong Arnold Property and the Inverse Eigenvalue Problem of a Graph 
Holliday, Sarah  Kennesaw State University  
Hook, Jonelle  Mount St. Mary’s University  
Hossain, Gahangir  Texas A&M UniversityKingsville 
Cognitive Resource Allocation Graph (CRAG): A Graph Representation of Human Cognitive Resources 
Hosseini, Ehsanallah  Bharati Vidyapeeth University  
Hui, Alice M. W.  University of KwaZuluNatal  
Hurley, Michael  Florida Atlantic University  
Isaak, Garth  Lehigh University  
Isaak, Garth  Lehigh University  
Janwa, Heeralal  UPRCayey, UPRRio Piedras, Puerto Rico 
Some New Results on the Conjecture on APN Functions and Absolutely Irreducible Polynomials 
Johnson, Peter  Auburn University  
Joshi, Rucha  Westwood High School, Austin Texas 
Complexity of Finding Maximum Region Disjoint Paths in a Directed Graph 
Kahl, Nathan  Seton Hall University  
Katz, Daniel  California State University Northridge 
A New Generating Function for Counting Zeroes of Polynomials 
Kawasaki, Yuki  Yokohama National University 
Nflips and chromatic number in even triangulations on the projective plane 
Kawatani, Gen  Yokohama National University  
Kelley, Christine  University of Nebraska, Lincoln  
Kelm, J.  Oakland University  
Kemnitz, Arnfried  University of Braunschweig, Germany  
Kirkpatrick, Pamela  Lehigh University  
Kischnick, Sara  University of Applied Sciences Mittweida  
Knoll, Fiona  Clemson University  
Krizan, Christopher  Auburn University  
Kruk, Serge  Oakland University 
A Stock Analysis Turns LeastSquares Turns Maximum Cut of a Graph 
Labbate, Domenico  Universit`a degli Studi della Basilicata  
Laffey, Tom  University College Dublin, Ireland 
On the Structure of Nonnegative Matrices with a Given Spectrum 
Langley, Larry  University of the Pacific 
Mixed Unit Interval Graphs, 50% Tolerance Graphs, and Boolean Endpoints 
Larsen, Victor  Kennesaw State University  
Laskar, Renu  Clemson University  
Leach, David  The University of West Georgia  
Lefmann, Hanno  TU Chemnitz, Germany  
Leiss, Ernst  University of Houston 
Parallel Moves in Hanoi Games on Graphs: Every Parallel Hanoi Graph is a Sequential Hanoi Graph 
Lichter, Tamar  Queens College  CUNY  
Lidicky, Bernard  Iowa State University  
Lin, Jephian  Iowa State University 
Odd cycle zero forcing parameters and the minimum rank problem 
Lipman, Drew  Clemson University  
Lipman, Marc  Indiana UniversityPurdue University Fort Wayne  
Lorch, John  Ball State University  
Low, Richard  San Jose State University  
Lueder, Tanya  Louisiana Tech University 
A Characterization of Simple, K4 Free Near OuterPlanar Graphs 
Ma, Jianmin  Colorado State University 
The Distance Signatures of the Incidence Graphs of Affine Resolvable Designs 
Machuca, Joanna  California State University, San Bernardino  
Maity, Soumen  Indian Institute of Science Education and Research, Pune, India  
MartinezRivera, Xavier  Iowa State University  
Masuda, Ariana  New York City College of Technology  
Matsumoto, Naoki  Seikei University  
McAdams, Stacey  Louisiana Tech University  
McGinn, Donald  University of West Florida  
McGuire, Trevor  North Dakota State University  
Mendoza, Augustin  California State University, San Bernardino  
Merz, Sarah  The University of the Pacific  
Miranda, Lohans  Federal University of Piaui 
Permutations as solutions of linear Diophantine equations and magic squares 
Moghadam, Hosien  University of Wisconsin, Oshkosh  
Monfared, Keivan  University of Calgary 
Permanent ranks of matrices and generalized cycles of graphs 
Moss, Kevin  Iowa State University  
Mullen, Gary  Penn State University 
Some Open Problems Related to Finite Fields and Their Applications 
Nevo, Aori  Stevens Institute of Technology 
Vertex degree condition for a 1binding graph to contain a 1factor 
Novick, Beth  Clemson University  
O'Connell, Kelly  Vanderbilt University  
Opatrny, Jaroslav  Concordia University, Montreal  
Orozco, Edusmildo  University of Puerto Rico at Rio Piedras 
On the solution of J ^{x} _{α} = J ^{y} _{β} and reduced linear modular systems 
OrtizUbarri, Jose  University of Puerto Rico  
Pacheco, Natalia  Univesity of Puerto Rico, Rio Piedras 
Explicit Formulas for Monomial Involutions Over Finite Fields 
Perry, Katherine  Auburn University  
Pinciu, Val  Southern Connecticut State University  
Pohlmann, Brett  Californai State University, Maritime Academy  
Pralat, Pawel  Ryerson University  
Reid, Michael  University of Central Florida  
Roberts, Charles  Indiana State University  
Ross, Dennis  Michigan State University  
Rubio, Ivelisse  University of Puerto Rico, Rio Piedras  
Rucinski, Andrzej  Adam Mickiewicz University and Emory University 
Refined Turan numbers and Ramsey numbers for the loose 3uniform path of length three 
Ryan, Kathleen  DeSales University  
Saccoman, John  Seton Hall University 
A Spanning Tree Increasing Surgery for Proper Threshold Graphs 
Salaam, Lifoma 
Howard University 
NonCrossing Partitions in Binary, Ordered and Motzkin Trees 
Schiermeyer, Ingo 
Technische Universitat Bergakademie Freiberg, Germany 

Schluchter, Steven  George Mason University 
Prime Labelings of Generalized Petersen Graphs and Large Cubic Bipartite Graphs 
Schulte, Alex  Iowa State University 
Unitary AntiVan der Waerden Number of Arithmetic Progressions 
Schultz, Kristian  University Rostock  
Sears, Lewis  Washington and Lee University  
Shahrokhi, Farhad  University of North Texas  
Sharma, U.  Rochester High School  
Simmons, Gustavus  
Smith, Stephen  University of Memphis  
Snider, Lauren  McNeese State University 
Some Bicyclic Antiautomorphisms of Mendelsohn Triple Systems 
Soifer, Alexander  University of Colorado, Colorado Springs 
The Scholar and the State: From the Third Reich to Today in Fool’s Gold of Silence 
Stevens, Gary  Hartwick College  
Stromberg, Johanna  Vanderbilt University  
Suffel, Charles  Stevens Institute of Technology 
On Reliability Models Associated with the Edge Domination Number for Trees 
Szwarcfiter, Jayme Luiz  Federal University of Rio de Janeiro, Brazil  
Tanny, Stephen  University of Toronto 
NonMonotonic Solutions to Nested Recursions: A Combinatorial Approach 
TapiaRecillas, H.  Dpto. de Mathematicas, Univ. Autonoma MetropolitanaI, Mexico D.F. 
A secret sharing scheme based on the polynomial ring over a finite field 
Thomas, Brent  University of Colorado, Denver  
Tiner, Gary  Faulkner University 
On the ErdosSos Conjecture for graphs with diameter at most k + 2 
Traetta, Tommaso  Ryerson University  
Tzanakis, Georgios  Carleton University  
Vaidya, Sanju  Mercy College  
Valera, Leobardo  University of Texas, El Paso  
Vandell, Chip  Indiana University  Purdue University Fort Wayne 
Decycling Toeplitz Graphs, Some Subgraphs, and Generalized Petersen Graphs 
Villalpando, John  California Lutheran University 
Trees for Given Values of the Span, Caps and Icaps for L(2, 1)Colorings 
Vince, Andrew  University of Florida  
Voigt, Margit  University of Applied Sciences Dresden  
Wang, Qiang  Carleton University  
Wang, Shaohui  The University of Mississippi 
On the Ratio of Domination and Independent Domination Number 
Wehrung, Ben  Jacksonville University  
Wei, Ruizhong  Lakehead University 
Pandiagonal Multimagic Squares Based on Large Sets of Orthogonal Arrays 
Weiner, Michael  Penn State, Altoona 
From Dyck Paths Colored by Connected Matchings to Standard Young Tableau 
Wierman, John  John Hopkins University 
Rigorous bounds relating bond percolation thresholds of two threedimensional lattices 
Williams, Ryn  Colorado State University  
Yahyaei, Laleh  S. P. Pune University  
Yatauro, Robert  Penn StateBrandywine  
Yonekura, Shinichi  Yokohama National University  
Young, Derek  Iowa State University 
Lower Bounds for the Exponential Domination Number of Cm × Cn 
Yu, Gaoran  John Hopkins University 
Exact Enumeration of SelfAvoiding Walks on Nonvertextransitive Lattices 
Yu, Gexin  College of William and Mary  
Yu, Xingxing 
Georgia Institute of Technology 

Abudayah, Mohammad  The University of Jordan, Amman, Jordan  
Adachi, Tomoko 
Toho University 
General construction of cluttered orderings and square disk arrays 
Ahmad, Sarfraz 
COMSATS Institute of Information Technology, Lahore Pakistan 
On some topological indices and polynomials of the Zigzag Boron triangular nanotube BNT[p, q] 
Ahmad, Uzma  University of the Pujab,Lahore, Pakistan  
Akelbek, Mahmud  Weber State University  
Aleid, Sahar  University of Almeria, Spain 
Independent [1,2]number versus independent domination number 
Alhulwah, Khawlah  Western Michigan University  
Alomari, Omar  The University of Jordan, Amman, Jordan  
Anderson, Mark  Rollins College  
Angeleska, Angela  University of Tampa  
Arman, Andrii  University of Manitoba  
Arora, A.  Novi High School  
Asayama, Yoshihiro  Yokohama National University  
Asplund, John  Dalton State College  
Bahmanian, Amin  Illinois State University  
Bailey, Sean  University of Southern Maine  
Balof, Barry  Whitman College  
Bandpey, Zeinab  Morgan State University 
Jonathan Farley's Mathematical Terror Theory: The Structure of Perfect Ter rorist Cells with a Single Leader 
Banaian, Esther  University of Minnesota  
Bapat, Mukund  University of Mumbai, India 
Some Vertex Prime Graph Families And A New Labeling Of Graphs 
Barnes, Matt  Louisiana State University  
Barrus, Michael  University of Rhode Island  
Bass, Rachel  Georgia Southern University 
Functions of degrees and distances as graph invariants in trees 
Battinelli, Catello  Stonehill College 
Weighted DistanceTwo EdgeBalance Index Sets of Star Graphs 
Baumbaugh, Travis  Clemson University  
Beeler, Robert  East Tennessee State University  
Beilke, Julia  Marquette University  
Benedetti, Bruno  University of Miami  
Betten, Anton  Colorado State University  
Beyerl, Jeffrey  University of Central Arkansas  
Bhutani, Kiran  The Catholic University of America 
A Study of Domination Related Parameters in Graphs and their Applications 
Bi, Zhenming  Western Michigan University  
Birmajer, Daniel  Nazareth College of Rochester  
Boats, Jeffe  University of Detroit Mercy 
Expected Value for Routable Disjoint Paths Given Random Terminal Selections 
Boehme, Thomas 
Technische Universitaet Ilmenau, Germany  Geometric Representation of Graphs and Crossing Numbers 
Bona, Miklos 
University of Florida  An overview of pattern avoiding permutations Something old, something new 
Bona, Miklos  University of Florida  
Bowie, Miranda  University of North Alabama  
Brandt, Axel  Davidson College  
Brown, David  Utah State University  
Brown, Jason  Dalhousie University  
Byers, Alexis  Western Michigan University  
Carrigan, Braxton  Southern CT State University 
Minimizing Positive Integer Sequences without Duplicate Substrings 
Case, Benjamin  Clemson University  
Chan, Wai Hong  The Education University of Hong Kong  
Chi, Henjin  Indiana State University  
Chopra, Dharam  Wichita State University  
Collins, Karen  Wesleyan College 
Counting split graphs, bipartite posets and adjacency matrices 
Copenhaver, Keith  University of Florida 
k protected and balanced vertices in unlabeled rooted plane trees 
Couch, P. J.  Lamar University  
Cui, Guangqi  Montgomery Blair High School  
Curran, Stephen  University of Pittsburgh at Johnstown 
Enumerating Hamiltonian Paths in Cayley Digraphs on the Semidirect Product of Cyclic Groups 
D'Andrea, Joy  University of South Florida 
Connected Fundamental Transversals and Fundamental Transversal Domains 
Davenport, Dennis  Howard University  
Davoudi, Anahitta  University of Central Florida  
De Jesus, Jose  University of Puerto Rico  
Defant, Colin  University of Florida  
Defant, Colin  University of Florida  
Delgado, Moises  University of Puerto Rico, Rio Piedras 
Extensions of some Results on the Conjecture on Exceptional APN

Desmarais, Colin  University of Manitoba 
Constructions of hypergraphs free of certain 3uniform 3partite hypergraphs 
Devereaux, Stephen  Cornerstone University  
Dod, Markus  IVM Institut fur Vernetzte Mobilitat gGmbH  
Driscoll, Keith  Clayton State University  
Dubczuk, Toni  Illinois State University 
The xfold spectra of several multigraphs on 4 vertices with 6 edges and edge multiplicity at most 2 
ElZanati, Saad  Illinois State University  
Engen, Michael  University of Florida  
Epstein, Michael  Florida Atlantic University  
Factor, Kim  Marquette University  
Fallon, Joshua  Louisiana State University 
A family of 2crossingcritical graphs on the projective plane 
Feder, Elie  Kingsborough Community CollegeCUNY  
Fenstermacher, Todd  Clemson University  
Florkowski, Stanley  Lehigh University  
Fonseca, Carlos  Kuwait University, Kuwait 
New structural properties of trees with minimal atombond connectivity index 
Fowler, Patrick  University of Sheffield, UK  
Fraboni, Michael  Moravian College  
Freyberg, Bryan  Michigan Technological University  
Froncek, Dalibor  University of Minnesota Duluth  
Gaither, Jeffrey  The Ohio State University  
Gezek, Mustafa  Michigan Technological University  
Gibson, Meghann Moriah  Georgia Southern University  
Gil, Juan  Penn State, Altoona  
Gismondi, Steve J.  University of Guelph 
Using Matching to Detect Infeasibility of Some Integer Programs 
Godbole, Anant  East Tennessee State University  
Grimaldi, Ralph  RoseHulman Institute of Technology  
Gutierrez, Seth  Georgia Southern University  
Hammer, James  Cedar Crest College 
Embedding Complete Multipartite Graphs into Smallest Dimension 
Harborth, Heiko  TU Braunschweig, Germany  
Hart, Ian  Western Michigan University  
Hartnell, B.  Saint Mary's University, Canada  
Haynes, Teresa  East Tennessee State University 
Research Accomplishments of Prof. Peter J. Slater: A Tribute to Our Colleague and Dear Friend 
Hedetniemi, Stephen  Clemson University 
Research Accomplishments of Prof. Peter J. Slater: A Tribute to Our Colleague and Dear Friend 
Heinig, Monika  Mount Sinai Health Systems  
Heissan, A. M.  Manhattanville College  
Heubach, Silvia  California State University Los Angeles  
Hlavacek, Jan  Saginaw Valley State University 
The Signal Detection Problem: Closed Modular Colorings on Grid Graphs 
Holliday, Sarah  Kennesaw State University  
Holmes, Amber  Auburn University  
Homberger, Cheyne  University of Maryland  
Honecker, Molly  Florida Gulf Coast University  
Hopkins, Brian  Saint Peter's University  
Horton, Steve  West Point  
Huszar, Alana  University of Michigan  
Irabor, Kehinde  Marquette University 
Change in the Dynamics of a Weighted Digraph via Eigenvalues 
Isaak, Garth  Lehigh University  
Janwa, Heeralal  University of Puerto Rico, Rio Piedras  
Jeffries, Joel  Tarkio High School  
Johnson, Peter  Auburn University  
Kaneko, Yoshihiro  Gifu University 
Stable transmission trees on moving sinksof wireless sensor network 
Karaoglu, Fatma  University of Sussex  
Kawasaki, Yuichiro  Yokohama National University  
Kawatani, Gen  Yokohama National University  
Keller, Ariel  Emory University  
Kemnitz, Arnfried  Techn. Univ. Braunschweig, Germany  
Khodkar, Abdollah  University of West Georgia 
Signed edge domination numbers of complete tripartite graphs: Part Two 
Kirkpatrick, Julie  University of Northern Iowa 
The xfold spectra of several multigraphs on 4 vertices with 6 edges and edge

Kischnick, Sara  University of Applied Sciences Mittweida  
Knoll, Fiona  Clemson University  
Kreher, Donald  Michigan Technological University  
Krop, Elliot  Clayton State University 
Vizing's conjecture: a twothirds bound for clawfree graphs 
Kruk, Serge  Oakland University  
Krzywkowski, Marcin  University of Johannesburg, South Africa 
A characterization of trees with equal 2domination and 2independence nembers 
Laaksonen, Antti  Aalto University, Finland  
Lange, Thomas  University of Applied Sciences Mittweida  
Lanning, Charles  Georgia Southern University  
Laskar, Renu  Clemson University  
Lefmann, Hanno  Fakultaet fuer Informatik, TU Chemnitz, Germany 
Edge Colorings of Hypergraphs Without A Fixed Rainbow Colored Subhyper

Lichter, Tamar  Queens CollegeCUNY  
Lipman, Drew  Clemson University  
Lipman, Mark J.  Indiana UniversityPurdue University Fort Wayne  
Low, Richard  San Jose State University 
The Integermagic Spectra of the Cartesian Product of Two Trees 
Lu, Xiaoyun  US Census Bureau  
Lundberg, Erik  Florida Atlantic University  
Magnant, Colton  Georgia Southern University 
GallaiRamsey numbers for finding a rainbow triangle or some small monochro matic subgraphs 
Mahmoodian, E. S.  Sharif University of Technology, Tehran  
Malloulil, Fatma  University of Sfax, Tunisia 
Iris Segmentation Based on EM Mixture of Gaussian Distribution 
Marshall, Candice  Morgan State University  
Matzke, Ryan  University of Minnesota 
Looking for the sumfreedom: The Maximum Size of (k, l)sumfree Sets 
McGinn, Donald  University of West Florida 
On completing partial Latin squares with two filled rows and at 
McKeown,James  University of Miami  
Meerscheidt, Kyle  University of Houston  
Merz, Sarah  University of the Pacific  
Milans, Kevin  West Virginia University  
Milz, Sebastian  RWTH Aachen University  
Moghadam, Hosien Said  University of Wisconsin, Osk Kosh  
Morra, Todd  Clemson University  
Moazzez, Babak  Kennesaw State University  
Murphy, Kyle  East Tennessee State University  
Myrvold, Wendy  University of Victoria  
Myrvold, Wendy  University of Victoria  
Nakamoto, Atsuhiro 
Yokohama National University 
Rhombus tiling of evensided polygons and quardangulations on the projective plane 
Narayan, Darren  Rochester Institute of Technology 
Towards a Characterization of Graphs with Distinct Betweenness Centralities 
Noble, Matt  Middle Georgia State University  
Olejniczak, Drake  Western Michigan University  
Owens, Andrew  Auburn University  
Pantazi, Stefan  Conestoga College Institute of Technology and Advanced Learning, Ontario, Cananda  
Peres, Yuval  Microsoft Reserach  
Peres, Yuval  Microsoft Reserach 
Random walks and typical distances in Ramanujan graphs, and the overhang problem 
Perry, Katherine  Auburn University  
Perry, Sean  Florida Atlantic University  
Pimpasalee, Wannapol  Khon Kaen University  
Pinciu, Val  Southern Connecticut State University  
Pinero, Fernando  University of Puerto Rico  Ponce  
Porta, Gaspar  Washburn University 
Vizingtype bounds for graphs with forbidden induced subgraphs 
Powers, Kelly  Stonehill College  
Qui, K.  Brock University  
Reid, Michael  University of Central Florida  
Roberts, Dan  Illinois Wesleyan University 
On cyclic decompositions of complete digraphs into antidirected cycles 
Robinson, Grant  California State University, L.A.  
Rubalcaba, Rob  San Diego City College  
Saccoman, John  Seton Hall University  
Sawada, Joe  University of Guelph, Canada  
Scheidweiler, Robert  FH Aachen University of Applied Sciences 
On Functions Inducing Proper Vertex Colorings Via Edge Weightings 
Schiermeyer, Ingo  Technische Universitat Bergakademie Freiberg, Germany  
Schroder, Bernd S.W.  The University of Southern Mississippi  
Scott, Paul Aaron  Georgia Southern University  
Shahrokhi, Farhad  University of North Texas  
Sharpe, Cameron  University of Central Arkansas  
Shull, Warren  Emory University  
Sickman, Amy  Illinois State University 
The xfold spectra of several multigraphs on 4 vertices with 6 edges and edge multiplicity at most 2 
Siddiqui, O.  Detroit Country Day School  
Sinko, Anne  College of St. Benedict and St. John's University 
Maximal and minimal chains of graph and hypergraph parameters 
Sittitrai, Pongpat  Khon Kaen University 
Planer graphs without cycle of length 4 or 5 are (3, 5)colorable 
Smith, Brett  Yale University  
Soifer, Alexander  University of Colorado, Colorado Springs  
Spiro, Sam  University of Miami  
Stinson, Douglas  University of Waterloo 
Optimal algebraic manipulation detection codes and difference families 
Stucky, Eric  University of Minnesota  
Su, HsinHao  Stonehill College  
Suffel, Charles  Stevens Institute of Technology  
Sullivan, Shaun  Florida Gulf Coast University  
Szaniszlo, Zsuzsanna  Valparaiso University  
Taniguchi, Hiroaki  National Institute of Technology, Kagawa College  
Tanny, Stephen  University of Toronto  
Thas, Jef  University of Gent, Belgium 
Arcs, Caps and Codes: Old Results, New Results, Generalizations 
Thomas, Brent  University of Colorado, Denver  
Todt, Heiko  Stonehill College 
On EdgeBalance Index Sets of LProduct of Cycles and Stars Connected by

Traetta, Tommaso  Ryerson University  
Trenk, Anne  Wellesley College  
Tsaturian, Sergei  University of Manitoba  
Vaidya, Sanju  Mercy College, New York 
Computation of Graph Vulnerability Measures and Topological Indices 
van Trung, Tran  University of DuisburgEssen 
Simple tdesigns: recursive construction methods for arbitrary t 
Vanloo, Gerard  Morehouse College  
Vatter, Vincent  University of Florida 
Growth rates of permutations classes: from countable to uncountable 
Wallace, Steven  Middle Georgia State University  
Wang, Hua  Georgia Southern University  
Wang, Ping  St. Francis Xavier University, Antigonish, Nova Scotia, Canada 
Using Bipartite Networks to Construct Personal Recommendation Systems 
Weiner, Michael  Penn State, Altoona  
Westlund, Erik  Kennesaw State University  
Wierman, John  Johns Hopkins University 
Strict inequalities between bond percolation thresholds of Archimedean lattices 
Williams, Trevor  Utah State University  
Woods, Angel  Georgia Southern University  
Yatauro, Michael  Penn State  Brandywine  
Young, Matthew  Stonehill College 
Weighted DistanceTwo EdgeBalance Index Sets of Cycle Graphs 
Zahedi, Emad  Michigan State University 
An Evolutionary Framework for Analyzing the Distance Preserving Property of Weighted Graphs 
Zhang, Taoye  Penn State University  
Zhou, Ju  Kutztown University 
Abudayah, Mohammad  The University of Jordan, Amman, Jordan  
Adachi, Tomoko 
Toho University 
General construction of cluttered orderings and square disk arrays 
Ahmad, Sarfraz 
COMSATS Institute of Information Technology, Lahore Pakistan 
On some topological indices and polynomials of the Zigzag Boron triangular nanotube BNT[p, q] 
Ahmad, Uzma  University of the Pujab,Lahore, Pakistan  
Akelbek, Mahmud  Weber State University  
Aleid, Sahar  University of Almeria, Spain 
Independent [1,2]number versus independent domination number 
Alhulwah, Khawlah  Western Michigan University  
Alomari, Omar  The University of Jordan, Amman, Jordan  
Anderson, Mark  Rollins College  
Angeleska, Angela  University of Tampa  
Arman, Andrii  University of Manitoba  
Arora, A.  Novi High School  
Asayama, Yoshihiro  Yokohama National University  
Asplund, John  Dalton State College  
Bahmanian, Amin  Illinois State University  
Bailey, Sean  University of Southern Maine  
Balof, Barry  Whitman College  
Bandpey, Zeinab  Morgan State University 
Jonathan Farley's Mathematical Terror Theory: The Structure of Perfect Ter rorist Cells with a Single Leader 
Banaian, Esther  University of Minnesota  
Bapat, Mukund  University of Mumbai, India 
Some Vertex Prime Graph Families And A New Labeling Of Graphs 
Barnes, Matt  Louisiana State University  
Barrus, Michael  University of Rhode Island  
Bass, Rachel  Georgia Southern University 
Functions of degrees and distances as graph invariants in trees 
Battinelli, Catello  Stonehill College 
Weighted DistanceTwo EdgeBalance Index Sets of Star Graphs 
Baumbaugh, Travis  Clemson University  
Beeler, Robert  East Tennessee State University  
Beilke, Julia  Marquette University  
Benedetti, Bruno  University of Miami  
Betten, Anton  Colorado State University  
Beyerl, Jeffrey  University of Central Arkansas  
Bhutani, Kiran  The Catholic University of America 
A Study of Domination Related Parameters in Graphs and their Applications 
Bi, Zhenming  Western Michigan University  
Birmajer, Daniel  Nazareth College of Rochester  
Boats, Jeffe  University of Detroit Mercy 
Expected Value for Routable Disjoint Paths Given Random Terminal Selections 
Boehme, Thomas 
Technische Universitaet Ilmenau, Germany  Geometric Representation of Graphs and Crossing Numbers 
Bona, Miklos 
University of Florida  An overview of pattern avoiding permutations Something old, something new 
Bona, Miklos  University of Florida  
Bowie, Miranda  University of North Alabama  
Brandt, Axel  Davidson College  
Brown, David  Utah State University  
Brown, Jason  Dalhousie University  
Byers, Alexis  Western Michigan University  
Carrigan, Braxton  Southern CT State University 
Minimizing Positive Integer Sequences without Duplicate Substrings 
Case, Benjamin  Clemson University  
Chan, Wai Hong  The Education University of Hong Kong  
Chi, Henjin  Indiana State University  
Chopra, Dharam  Wichita State University  
Collins, Karen  Wesleyan College 
Counting split graphs, bipartite posets and adjacency matrices 
Copenhaver, Keith  University of Florida 
k protected and balanced vertices in unlabeled rooted plane trees 
Couch, P. J.  Lamar University  
Cui, Guangqi  Montgomery Blair High School  
Curran, Stephen  University of Pittsburgh at Johnstown 
Enumerating Hamiltonian Paths in Cayley Digraphs on the Semidirect Product of Cyclic Groups 
D'Andrea, Joy  University of South Florida 
Connected Fundamental Transversals and Fundamental Transversal Domains 
Davenport, Dennis  Howard University  
Davoudi, Anahitta  University of Central Florida  
De Jesus, Jose  University of Puerto Rico  
Defant, Colin  University of Florida  
Defant, Colin  University of Florida  
Delgado, Moises  University of Puerto Rico, Rio Piedras 
Extensions of some Results on the Conjecture on Exceptional APN

Desmarais, Colin  University of Manitoba 
Constructions of hypergraphs free of certain 3uniform 3partite hypergraphs 
Devereaux, Stephen  Cornerstone University  
Dod, Markus  IVM Institut fur Vernetzte Mobilitat gGmbH  
Driscoll, Keith  Clayton State University  
Dubczuk, Toni  Illinois State University 
The xfold spectra of several multigraphs on 4 vertices with 6 edges and edge multiplicity at most 2 
ElZanati, Saad  Illinois State University  
Engen, Michael  University of Florida  
Epstein, Michael  Florida Atlantic University  
Factor, Kim  Marquette University  
Fallon, Joshua  Louisiana State University 
A family of 2crossingcritical graphs on the projective plane 
Feder, Elie  Kingsborough Community CollegeCUNY  
Fenstermacher, Todd  Clemson University  
Florkowski, Stanley  Lehigh University  
Fonseca, Carlos  Kuwait University, Kuwait 
New structural properties of trees with minimal atombond connectivity index 
Fowler, Patrick  University of Sheffield, UK  
Fraboni, Michael  Moravian College  
Freyberg, Bryan  Michigan Technological University  
Froncek, Dalibor  University of Minnesota Duluth  
Gaither, Jeffrey  The Ohio State University  
Gezek, Mustafa  Michigan Technological University  
Gibson, Meghann Moriah  Georgia Southern University  
Gil, Juan  Penn State, Altoona  
Gismondi, Steve J.  University of Guelph 
Using Matching to Detect Infeasibility of Some Integer Programs 
Godbole, Anant  East Tennessee State University  
Grimaldi, Ralph  RoseHulman Institute of Technology  
Gutierrez, Seth  Georgia Southern University  
Hammer, James  Cedar Crest College 
Embedding Complete Multipartite Graphs into Smallest Dimension 
Harborth, Heiko  TU Braunschweig, Germany  
Hart, Ian  Western Michigan University  
Hartnell, B.  Saint Mary's University, Canada  
Haynes, Teresa  East Tennessee State University 
Research Accomplishments of Prof. Peter J. Slater: A Tribute to Our Colleague and Dear Friend 
Hedetniemi, Stephen  Clemson University 
Research Accomplishments of Prof. Peter J. Slater: A Tribute to Our Colleague and Dear Friend 
Heinig, Monika  Mount Sinai Health Systems  
Heissan, A. M.  Manhattanville College  
Heubach, Silvia  California State University Los Angeles  
Hlavacek, Jan  Saginaw Valley State University 
The Signal Detection Problem: Closed Modular Colorings on Grid Graphs 
Holliday, Sarah  Kennesaw State University  
Holmes, Amber  Auburn University  
Homberger, Cheyne  University of Maryland  
Honecker, Molly  Florida Gulf Coast University  
Hopkins, Brian  Saint Peter's University  
Horton, Steve  West Point  
Huszar, Alana  University of Michigan  
Irabor, Kehinde  Marquette University 
Change in the Dynamics of a Weighted Digraph via Eigenvalues 
Isaak, Garth  Lehigh University  
Janwa, Heeralal  University of Puerto Rico, Rio Piedras  
Jeffries, Joel  Tarkio High School  
Johnson, Peter  Auburn University  
Kaneko, Yoshihiro  Gifu University 
Stable transmission trees on moving sinksof wireless sensor network 
Karaoglu, Fatma  University of Sussex  
Kawasaki, Yuichiro  Yokohama National University  
Kawatani, Gen  Yokohama National University  
Keller, Ariel  Emory University  
Kemnitz, Arnfried  Techn. Univ. Braunschweig, Germany  
Khodkar, Abdollah  University of West Georgia 
Signed edge domination numbers of complete tripartite graphs: Part Two 
Kirkpatrick, Julie  University of Northern Iowa 
The xfold spectra of several multigraphs on 4 vertices with 6 edges and edge

Kischnick, Sara  University of Applied Sciences Mittweida  
Knoll, Fiona  Clemson University  
Kreher, Donald  Michigan Technological University  
Krop, Elliot  Clayton State University 
Vizing's conjecture: a twothirds bound for clawfree graphs 
Kruk, Serge  Oakland University  
Krzywkowski, Marcin  University of Johannesburg, South Africa 
A characterization of trees with equal 2domination and 2independence nembers 
Laaksonen, Antti  Aalto University, Finland  
Lange, Thomas  University of Applied Sciences Mittweida  
Lanning, Charles  Georgia Southern University  
Laskar, Renu  Clemson University  
Lefmann, Hanno  Fakultaet fuer Informatik, TU Chemnitz, Germany 
Edge Colorings of Hypergraphs Without A Fixed Rainbow Colored Subhyper

Lichter, Tamar  Queens CollegeCUNY  
Lipman, Drew  Clemson University  
Lipman, Mark J.  Indiana UniversityPurdue University Fort Wayne  
Low, Richard  San Jose State University 
The Integermagic Spectra of the Cartesian Product of Two Trees 
Lu, Xiaoyun  US Census Bureau  
Lundberg, Erik  Florida Atlantic University  
Magnant, Colton  Georgia Southern University 
GallaiRamsey numbers for finding a rainbow triangle or some small monochro matic subgraphs 
Mahmoodian, E. S.  Sharif University of Technology, Tehran  
Malloulil, Fatma  University of Sfax, Tunisia 
Iris Segmentation Based on EM Mixture of Gaussian Distribution 
Marshall, Candice  Morgan State University  
Matzke, Ryan  University of Minnesota 
Looking for the sumfreedom: The Maximum Size of (k, l)sumfree Sets 
McGinn, Donald  University of West Florida 
On completing partial Latin squares with two filled rows and at 
McKeown,James  University of Miami  
Meerscheidt, Kyle  University of Houston  
Merz, Sarah  University of the Pacific  
Milans, Kevin  West Virginia University  
Milz, Sebastian  RWTH Aachen University  
Moghadam, Hosien Said  University of Wisconsin, Osk Kosh  
Morra, Todd  Clemson University  
Moazzez, Babak  Kennesaw State University  
Murphy, Kyle  East Tennessee State University  
Myrvold, Wendy  University of Victoria  
Myrvold, Wendy  University of Victoria  
Nakamoto, Atsuhiro 
Yokohama National University 
Rhombus tiling of evensided polygons and quardangulations on the projective plane 
Narayan, Darren  Rochester Institute of Technology 
Towards a Characterization of Graphs with Distinct Betweenness Centralities 
Noble, Matt  Middle Georgia State University  
Olejniczak, Drake  Western Michigan University  
Owens, Andrew  Auburn University  
Pantazi, Stefan  Conestoga College Institute of Technology and Advanced Learning, Ontario, Cananda  
Peres, Yuval  Microsoft Reserach  
Peres, Yuval  Microsoft Reserach 
Random walks and typical distances in Ramanujan graphs, and the overhang problem 
Perry, Katherine  Auburn University  
Perry, Sean  Florida Atlantic University  
Pimpasalee, Wannapol  Khon Kaen University  
Pinciu, Val  Southern Connecticut State University  
Pinero, Fernando  University of Puerto Rico  Ponce  
Porta, Gaspar  Washburn University 
Vizingtype bounds for graphs with forbidden induced subgraphs 
Powers, Kelly  Stonehill College  
Qui, K.  Brock University  
Reid, Michael  University of Central Florida  
Roberts, Dan  Illinois Wesleyan University 
On cyclic decompositions of complete digraphs into antidirected cycles 
Robinson, Grant  California State University, L.A.  
Rubalcaba, Rob  San Diego City College  
Saccoman, John  Seton Hall University  
Sawada, Joe  University of Guelph, Canada  
Scheidweiler, Robert  FH Aachen University of Applied Sciences 
On Functions Inducing Proper Vertex Colorings Via Edge Weightings 
Schiermeyer, Ingo  Technische Universitat Bergakademie Freiberg, Germany  
Schroder, Bernd S.W.  The University of Southern Mississippi  
Scott, Paul Aaron  Georgia Southern University  
Shahrokhi, Farhad  University of North Texas  
Sharpe, Cameron  University of Central Arkansas  
Shull, Warren  Emory University  
Sickman, Amy  Illinois State University 
The xfold spectra of several multigraphs on 4 vertices with 6 edges and edge multiplicity at most 2 
Siddiqui, O.  Detroit Country Day School  
Sinko, Anne  College of St. Benedict and St. John's University 
Maximal and minimal chains of graph and hypergraph parameters 
Sittitrai, Pongpat  Khon Kaen University 
Planer graphs without cycle of length 4 or 5 are (3, 5)colorable 
Smith, Brett  Yale University  
Soifer, Alexander  University of Colorado, Colorado Springs  
Spiro, Sam  University of Miami  
Stinson, Douglas  University of Waterloo 
Optimal algebraic manipulation detection codes and difference families 
Stucky, Eric  University of Minnesota  
Su, HsinHao  Stonehill College  
Suffel, Charles  Stevens Institute of Technology  
Sullivan, Shaun  Florida Gulf Coast University  
Szaniszlo, Zsuzsanna  Valparaiso University  
Taniguchi, Hiroaki  National Institute of Technology, Kagawa College  
Tanny, Stephen  University of Toronto  
Thas, Jef  University of Gent, Belgium 
Arcs, Caps and Codes: Old Results, New Results, Generalizations 
Thomas, Brent  University of Colorado, Denver  
Todt, Heiko  Stonehill College 
On EdgeBalance Index Sets of LProduct of Cycles and Stars Connected by

Traetta, Tommaso  Ryerson University  
Trenk, Anne  Wellesley College  
Tsaturian, Sergei  University of Manitoba  
Vaidya, Sanju  Mercy College, New York 
Computation of Graph Vulnerability Measures and Topological Indices 
van Trung, Tran  University of DuisburgEssen 
Simple tdesigns: recursive construction methods for arbitrary t 
Vanloo, Gerard  Morehouse College  
Vatter, Vincent  University of Florida 
Growth rates of permutations classes: from countable to uncountable 
Wallace, Steven  Middle Georgia State University  
Wang, Hua  Georgia Southern University  
Wang, Ping  St. Francis Xavier University, Antigonish, Nova Scotia, Canada 
Using Bipartite Networks to Construct Personal Recommendation Systems 
Weiner, Michael  Penn State, Altoona  
Westlund, Erik  Kennesaw State University  
Wierman, John  Johns Hopkins University 
Strict inequalities between bond percolation thresholds of Archimedean lattices 
Williams, Trevor  Utah State University  
Woods, Angel  Georgia Southern University  
Yatauro, Michael  Penn State  Brandywine  
Young, Matthew  Stonehill College 
Weighted DistanceTwo EdgeBalance Index Sets of Cycle Graphs 
Zahedi, Emad  Michigan State University 
An Evolutionary Framework for Analyzing the Distance Preserving Property of Weighted Graphs 
Zhang, Taoye  Penn State University  
Zhou, Ju  Kutztown University 