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The Probability that Two Semigroup Elements Commute Can Be Anything (with N. Selinski). Submitted to The College Mathematics Journal.
Diversity in Inside Factorial Monoids (with U. Krause, J. Maney). Submitted to Journal of Algebra.
Diversity in Monoids (with J. Maney). Submitted to Journal of Algebra.
The Multi-Dimensional Frobenius Problem (with J. Amos, I. Pascu, E. Trevino, Y. Zhang). To appear in Advances in Applied Mathematics (accepted 8/22/2006).
Bifurcus Semigroups and Rings (with D. Adams, R. Ardila, D. Hannasch, A. Kosh, H. McCarthy, R. Rosenbaum). Involve 2 (3) 2009, pp. 351-356.
Invariant Polynomials and Minimal Zero Sequences (with B. Finklea, T. Moore, Z. Turner), Involve 1 (2) 2008, pp. 159-165. Also available are the associated big table (in Excel format), and software.
The Frobenius Number of Geometric Sequences (with D. Ong). INTEGERS: The Electronic Journal of Number Theory (8) 2008, #A33.
Robert Gilmer's Contributions to the Theory of Integer-Valued Polynomials (with S. Chapman, W. Smith) "Multiplicative Ideal Theory in Commutative Algebra", Springer, New York, 2006, pp. 109-122.
The Extraction Degree of Cale Monoids (with K. Cervello, D. Terry, L. Zhu), Semigroup Forum 72 (1) 2006, pp. 149-158.
The Catenary and Tame Degree in Finitely Generated Commutative Cancellative Monoids (with S. Chapman, P.A. Garcia-Sanchez, D. Llena, J.C. Rosales), Manuscripta Mathematica (120) 2006, pp. 253-264.
Minimal Zero Sequences of Finite Cyclic Groups Integers: The Electronic Journal of Combinatorial Number Theory (4) 2004, article A24.
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How to Play the One-Lie Renyi-Ulam Game (with R. Ellis, C. Yan). Discrete Mathematics 308 (2008), pp. 5805-5808.
Characterizing Pseudodendrimers. I. Graph Representations of Pseudodendrimers Formed by Enhancements to Propagation of Linear Units (with D. Johnson, J. Wang). Macromolecular Theory and Simulations 18 (8) 2007, pp. 727-731.
Geometry of Jump Systems (with V. Lyubashevsky, C. Newell), Rocky Mountain Journal of Mathematics, Volume 35 (5) 2005, pp. 1675-1688.
The Renyi-Ulam Pathological Liar Game with a Fixed Number of Lies (with R. Ellis and C. Yan), Journal of Combinatorial Theory, Series A, Volume 112 (2) November 2005, pp. 238-336. .
The Convergence of Difference Boxes (with A. Behn, C. Kribs Zaleta) American Mathematical Monthly 112 (5) May 2005, pp. 426-439.
Jump Systems and Laminated Manhattan Sets (with J. Cuomo, N. Nwasokwa) Australasian Journal of Combinatorics (31) February 2005, pp. 135-144.
Faa di Bruno's Formula and Nonhyperbolic Fixed Points of One-Dimensional Maps (corrected) International Journal of Mathematics and Mathematical Sciences (29) 2004, pp. 1543-1549.
Reduction of Jump Systems Houston Journal of Mathematics 30 (1) 2004, pp. 27-33.
DRILL (Depository of Repetitive Internet-based probLems and Lessons) Journal of Online Mathematics and Applications (3) 2003.
Stability of Hyperbolic and Non Hyperbolic Fixed Points of One-Dimensional Maps (with F. Dannan, S. Elaydi) Journal of Difference Equations and Applications 9 (5) 2003, pp. 449-457.
Mimeomatroids Ars Combinatoria (66) 2003, pp. 103-107.