The papers below are separated into three catagories:
Submitted, To Appear, and Published.
All papers are
copyright 1998-2008
Submitted
Nothing right. Something soon.
To Appear
Bounds on Some van der Waerden Numbers
(with
Tom Brown and Bruce Landman), to appear in JCTA
Posted shortly
Some Two Color, Four Variable Rado Numbers
(with
Kellen Myers), Adv. Applied Math
Published
2008
22. On the Asymptotic Minimum Number
of Monochromatic 3-Term Arithmetic Progressions
(with Pablo Parrilo
and Dan Saracino), JCTA 115 (1), 185-192.
2007
21. Avoiding Monochromatic Sequences with Special Gaps
(with
Bruce Landman), SIAM J. Disc. Math. 21 (3),
794-801.
20. A Method for Quantifying Rotational
Symmetry
(with Frank Frey and Michael Bukoski),
New Phytologist
175 (4), 785-791.
Note: This is an ecology paper and not
a combinatorics paper.
19. Two Color Off-diagonal Rado-type Numbers
(with
Kellen Myers),
Electronic Journal
of Combinatorics 14(1), R53
18. On Monochromatic Ascending Waves
(with
Tim LeSaulnier),
in Combinatorial Number Theory,
de Gruyter Proceedings in Mathematics Series
17. Refined Restricted Involutions
(with
Emeric Deutsch and Dan Saracino), European Journal of Combinatorics
28, 481-498.
2006
16. On the Degree of Regularity of
Generalized van der Waerden Triples
(with
Nikos Frantzikinakis
and Bruce Landman
), Adv. Applied Math 37, 124-128.
2005
15. Some New Exact van der Waerden Numbers
(with
Bruce Landman and Clay Culver), Proceedings of
Integers Conference 2003,
Integers 5(2), A10.
2004
14. Restricted Permutations from Catalan to Fine and Back
Séminaire Lotharingien de Combinatoire 50, B50g.
2003
13. Ramsey Theory on the Integers
(with Bruce Landman),
American Mathematical Society, STML 24.
2002
12. Refined Restricted Permutations
(with
Dan Saracino and Doron Zeilberger),
Annals of Combinatorics
6, 427-444.
11. Refined Restricted Permutations Avoiding Subsets
of Patterns of Length Three
(with
Toufik Mansour),
Annals of Combinatorics
6, 407-418.
10. On Generalized Van der Waerden Triples
(with Bruce Landman),
Discrete Mathematics 256, 279-290.
9. New Lower Bound Formulas for Some Multicolored
Ramsey Numbers,
Electronic Journal of Combinatorics,
9(1), R13.
2001
8. Permutations Restricted by Two Distinct Patterns
of Length Three,
Advances in Applied Mathematics, 27,
pp. 548-561.
7. Off-Diagonal Generalized Schur Numbers
(with Dan Schaal),
Advances in Applied Mathematics, 26 (3), pp. 252-257.
2000
6. Difference Ramsey Numbers and Issai Numbers,
Advances in Applied Mathematics, 25 (2), pp. 153-162.
1999
5. Permutation Patterns and Continued Fractions
(with
Herb Wilf
and
Doron Zeilberger),
Electronic Journal of Combinatorics, 6 (1), R38.
4. Permutations Containing and Avoiding 123 and 132 Patterns,
Discrete Mathematics and Theoretical Computer Science 3, pp. 151-154.
3. New Lower Bounds for Some Multicolored Ramsey Numbers,
Electronic Journal of Combinatorics 6 (1), R3.
1998
2. A 2-Coloring of [1,N] Can Have N2/22 + O(N) Monochromatic
Schur Triples, But Not Less! (with
Doron Zeilberger),
Electronic Journal of Combinatorics 5 (1), R19.
1993
1.
Review of Social Security Financing and Related Matters
(with Cecil J. Nesbitt and Felicity Messner),
Actuarial Research Clearing House 1993.1,
249-282.
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