Math Papers by Ken Smith

 

K. W. Smith, The Representation Theory of Tactical Configurations (pdf)

Congressus Numerantium, v. 60, 1987, 151 ‑ 162.

 

K. W. Smith, Flag Algebras of a Symmetric Design (pdf)

Journal of Combinatorial Theory, Series A, v. 48, no. 2, 1988, 209 ‑ 228.

 

K. W. Smith, Teaching Number Theory with ZBASIC,

Proceedings of the Second Annual Conference on Technology in Collegiate Mathematics, 1989, 294 ‑ 297.

 

K. W. Smith, In Search of a (495, 39, 3) Difference Set, (pdf)

Congressus Numerantium, v. 73, 1990, 77 ‑ 88.

 

B. Manvel, A. Meyerowitz, A. J. Schwenk, and P. K. Stockmeyer, K. W. Smith, Reconstruction of Sequences,

Discrete Mathematics, v. 94, 1991, 209 ‑ 219.

 

R. A. Liebler, K. W. Smith, On difference sets in certain 2‑groups, (pdf)

in Coding Theory, Design Theory, Group Theory: Proceedings of the Marshall Hall Conference, ed. by D. Jungnickel, John Wiley & Sons, 1993.

 

J. A. Davis, K. W. Smith, A construction of difference sets in high exponent 2‑groups, (pdf)

Journal of Algebraic Combinatorics, 1994.

 

K. W. Smith, Nonabelian hadamard difference sets, (pdf)

Journal of Combinatorial Theory, Series A, v. 70, 1995, 144 ‑ 156.

 

R. Liebler, J. Iiams, K. W. Smith,

Difference Sets in Nilpotent Groups with Large Frattini Quotient: Geometric Methods and (375, 34, 3), (pdf)

Proceedings of a Special Research Quarter at the Ohio State University, Spring 1993 (published by Walter de Gruyter, 1996.)

 

K. W. Smith, Nonabelian difference sets,

chapter IV.13 in The CRC Handbook on Combinatorial Designs, 1996.

 

K. Mackenzie Fleming, K. W. Smith,

(27, 13, 6) designs with automorphisms of order 3, (pdf of early draft)

the Proceedings of the Ninth Midwest Conference on Combinatorics, Cryptography and Computing, special edition of Journal of Combinatorial Mathematics and Combinatorial Computing, 1996.

 

K. Mackenzie Fleming, K. W. Smith,

An infinite family on nonembeddable quasi-residual designs, (pdf)

Journal of Statistical Planning and Inference, v. 73, 1998.

 

H. Fleischner. R. Molina, K. W. Smith, D. West,

The Two-Path Conjecture, (pdf)

 Electronic Journal of Combinatorics, 2002.

 

R. Molina, M. McNally, K. W. Smith,

Characterizing Randomly Pk Decomposable Graphs for k < 9,

Congressus Numerantium 156, 2003, 211-221.

 

I supervised the undergraduate research which led to the publication:

Christine Berkesch, Erin Haller, Jeff Ginn, Erin Militzer. A Survey of Relative Difference Sets,

Rose-Hulman Undergraduate Mathematics Journal, v. 4, Fall 2003.

 

S. Narayan, J. (Eustice) Russell, K. W. Smith,

The Subgraph Summability Number of a Biclique,

Congressus Numerantium 171, 2004, 3-11.

 

O. AbuGhneim, P. Becker, J. Mendez, K. W. Smith,

On Hadamard Difference Sets in groups of order 4p2,

Congressus Numerantium 172, 2005, 97-121.

 

J. A. Davis, J. Jedwab and K.W. Smith, Proof of the Barker array conjecture, (pdf)

 Proc. Amer. Math. Soc., to appear, 2006.

 

A. Pott, D. Jungnickel, K. W. Smith, Difference sets,

a chapter in The CRC Handbook on Combinatorial Designs, (2nd ed.) to appear, 2006.

 

Articles In Progress

O. AbuGhneim, K. W. Smith, Tightening Turyn's Bound for Hadamard Difference Sets,

submitted 2005.

 

O. AbuGhneim, K. W. Smith, Nonabelian Groups with (96,20,4) Difference Sets,

submitted to the Electronic Journal of Combinatorics, April 2006.