Math Papers by Ken Smith

 

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.

 

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

published 2005.

 

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

published to the Electronic Journal of Combinatorics, 2006.

 

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

On Hadamard Difference Sets in groups of order 4p2,

Congressus Numerantium 172, 2005, 97-121.

 

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

The Subgraph Summability Number of a Biclique,

Congressus Numerantium 171, 2004, 3-11.

 

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.

 

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

Characterizing Randomly Pk Decomposable Graphs for k < 9,

Congressus Numerantium 156, 2003, 211-221.

 

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

The Two-Path Conjecture, (pdf)

 Electronic Journal of Combinatorics, 2002.

 

K. Mackenzie Fleming, K. W. Smith,

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

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

 

K. Mackenzie Fleming, K. W. Smith,

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

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

 

K. W. Smith, Nonabelian difference sets,

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

 

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 hadamard difference sets, (pdf)

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

 

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

Journal of Algebraic Combinatorics, 1994.

 

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.

 

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

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

 

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

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

 

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

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

           (This mentions the “Calculator Plus” manual – this is all before Maple and Mathematica made programs like this redundant.)

 

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, The Representation Theory of Tactical Configurations (pdf)

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

 

Other old preprints (not published)

           Recursive construction of polyhedra (pdf with Bill Miller)

           On Randomly Decomposable Graphs  (pdf with Jerry Kabell)

           Counting Objects with Symmetry (pdf, a paper on orbit-counting)