"The Symmetric Subset Problem in Continuous Ramsey Theory," (with Greg Martin)
"Continuous Ramsey Theory and Sidon Sets," (with Greg Martin)"A Discrete
Fourier Kernel and Fraenkel's Tiling Conjecture," with Ron Graham,
to appear in Acta Arithmetica.
"Constructions
of Generalized Sidon Sets," with Greg Martin, to appear in J Combin
Theory, Ser A.
"Almost
Alternating Sums," with Bruce Reznick and Monika Serbinowska, to
appear in Amer. Math. Monthly.
"A Complete Annotated Bibliography of Work Related to Sidon Sequences," Electronic Journal of Combinatorics, DS11, 39 pages, July 2004.
"Sturmian Words and the Permutation that Orders Fractional Parts," Journal of Algebraic Combinatorics, 19 (1): 91-115, January 2004.
"Fraenkel's Partition and Brown's Decomposition," Integers 3 (2003), A11, 17 pp.
"A Generating Function Technique for Beatty Sequences and Other Step Sequences," J. Number Theory 94, 299--319 (2002).
"The Edge Bandwidth of Theta Graphs" (with Dhruv Mubayi & Dennis Eichhorn & Doug West), J. Graph Theory 35 (2000), no. 2, 89--98.
"A Complete Bibliography of Work Related to Beatty Sequences"
"Combinatorially generated weighted partition identities" (with Dennis Eichhorn)
My thesis is a must-read for anyone obsessed with me:
"Sidon Sets and Beatty Sequences"
I was involved with 2 technical reports at Rose-Hulman. They are available from Allen.Broughton@Rose-Hulman.Edu.
"A4-Rewritability", (with Eric Wepsic & Lawren Smithline), MS TR 92-03
"Some Facts About Cycles and Tidy Groups", (with D. Patrick & L. Smithline & E. Wepsic), MS TR 92-04
With Jeff Dierckman and Joel Atkins, I finished first
in the SIAM-COMAP Mathematical Contest in Modelling in 1990. The
winning papers are published in a special issue, but I don't know which
one.
"A Real Snow Job" (with Jeff Dierckman & Joel Atkins)