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Arithmetic of Semigroup Semirings Submitted to Semigroup Forum.
Diversity in Inside Factorial Monoids (with U. Krause, J. Maney). Submitted to Czechoslovak Mathematics Journal.
Diversity in Monoids (with J. Maney). Submitted to Czechoslovak Mathematics Journal.
Arithmetic-Progression-Weighted Subsequence Sums (with D. Grynkiewicz, A. Philipp). To appear in Israel Math Journal.
The Probability that Two Semigroup Elements Commute Can Be Anything (with N. Selinski). To appear in The College Mathematics Journal.
The Multi-Dimensional Frobenius Problem (with J. Amos, I. Pascu, E. Trevino, Y. Zhang). Involve 4 (2) 2011, pp. 187-197.
On Image Sets of Integer-Valued Polynomials (with S. Chapman). Journal of Algebra (348) 2011, pp. 350-353.
Number Theory of Matrix Semigroups (with D. Adams, R. Ardila, N. Baeth, D. Hannasch, A. Kosh, H. McCarthy, R. Rosenbaum). Journal of Linear Algebra and its Applications (434) 2011, pp. 694-711.
Determining Integer-Valued Polynomials From Their Image Proceedings of the CIRM Meetings 2 (2) 2010, pp. 51-52.
Distinct Solution to a Linear Congruence (with D. Adams). Involve 3 (3) 2010, pp. 345-347.
Numerical Semigroups From Open Intervals (with R. Rosenbaum). Involve 3 (3) 2010, pp. 341-344.
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.
Multivariate analysis of functional metagenomes (with E. Dinsdale, R. Edwards, B. Bailey, I. Tuba, S. Akhter, K. McNair, R. Schmieder, N. Apkarian, M. Creek, E. Guan, M. Hernandez, C. Isaacs, C. Peterson, T. Regh). Under review by Nature Methods 9/23/2011.
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.