Dr. Frederick Hoffman
Professor, Mathematical Sciences

	Office: SE 212A Phone #: (561) 297-3345 Fax #: (561) 297-2436 Email: hoffman@fau.edu

First Year at FAU: 1968

Degrees
Ph.D. in Mathematics, University of Virginia
BS in Mathematics, Georgetown University

Research Interests
Aritificial Intelligence, Combinatorics, Group Theory,
and Cryptology

Published Papers
Proceedings of the Southeastern International Conference
on Combinatorics, Graph Theory and Computing. Editor (with others),
120 volumes of the journal, Congressus Numerantium, 1972-2008.

Manhattan Graphs, Congressus Numerantium (with Frank O. Hadlock and Stephen C.Locke), 2004.

Cryptographic primitives based on groups of hidden orders (with S. Magliveras, T. van Trung and W. Wei), Tatra Mt. Math. Publ. 2004.

Introduction and History, in Mathematical Aspects of Artificial Intelligence,
1998.

Mathematical Aspects of Artificial Intelligence (editor), American Mathematical Society, Providence, 1998.

Eight issues of Annals of Mathematics and Artificial Intelligence (editor, with Martin Golumbic and others), 1992.

A Note on Cycle Double Covers in Cayley Graphs, Mathematica Panonica (with S.C. Locke and A.D. Meyerowitz), 1991.

A Semigroup and Gaussian Polynomials, Discrete Mathematics (with John M.
Freeman), 1981.

A Minimum Fleet Size Routing Problem, Proceedings of the Eighth Manitoba
Conference on Numerical Mathematics and Computing (refereed) (with Frank
O. Hadlock), 1979.

Manhattan Trees, Utilitas Mathematica (with Frank O. Hadlock), 1978.

d-sets in Finite Groups and Representation by 3-uniform Hypergraphs, Ars
Combinatoria, 1977.

Some Results Related to Generalized Varshamov-Gilbert Bounds, IEEE
Transactions on Information Theory (with M. Deza), 1977.

A Starter-Adder Approach to Equidistant Permutation Arrays and Generalized
Room Squares, Ars Combinatoria (with P.J. Schellenberg and S.A.Vanstone),
1976.

Properties ofGeneralized Packings, Proceedings of the Fifth Manitoba
Conference on Numerical Mathematics (refereed) (with R.C. Mullin), 1976.

Orbits under Actions of Affine Groups over GF(2). Linear Algebra and Its
Applications, 1976.

Subgroups of Holomorphs of Groups, American Mathematical Monthly, 1976.

Block Patterns and Routing, Proceedings of the Sixth Southeastern
Conference on Combinatorics, Graph Theory and Computing (refereed) (with
Frank O. Hadlock), 1975.

Maximal Orbits under Affine Groups, Proceedings of the Fifth Southeastern
Conference on Combinatorics, Graph Theory and Computing (refereed), 1974.

Products of Two Involutions in the General Linear Group, Indiana University
Mathematics Journal (with E.C. Paige), 1971.

Totally Variant Sets in Finite Groups and Vector Spaces, Can. J. Math. (with
Lloyd R. Welch), 1968.

Nilpotent Height of Finite Groups Admitting Fixed-point-free Automorphisms,
Math. Zeitschr, 1964.