Education

Ph.D. in Mathematics from the University of Houston, Houston, Texas in December 2004.
M.A. in Applied Mathematics from the University of Houston, Houston, Texas in May 2002.
B.A. in Mathematics from the University of Houston, Houston, Texas in May 2000.

Work History

Assistant Professor of Mathematics, Department of Computer and Mathematical Sciences, University of Houston Downtown, August 2005 – present.
Post-Doctoral Research Associate, Texas A&M University at Galveston, Summer 2004 - Fall 2005
Teaching Fellow, University of Houston, Fall 2000 – Summer 2004

 

ARTICLES PUBLISHED OR ACCEPTED FOR PUBLICATION

1. E. DeLaViña,  C. E. Larson, R. Pepper and B. Waller and, A characterization of graphs where the independence number equals the radius, Graphs and Combinatorics (2012), Vol. 28, 315-332. (pdf reprint)
2. E. DeLaViña, R. Pepper and B. Waller, Graffiti.pc on the independent-domination number of a graph, Proceedings of the Fortieth Southeastern International Conference on Combinatorics, Graph Theory and Computing. Congressus Numerantium, (2011), Vol. 209, 17-25. (pdf preprint).
3. E. DeLaViña, W. Goddard, M. A. Henning, R. Pepper, and E. Vaughn,  Bounds on the k-domination number of a graph, Applied Mathematics Letters (2011), Vol. 24 (6), 996-998 (pdf preprint).
4. E. DeLaViña, C. Larson, R. Pepper and B. Waller, Graffiti.pc on the 2-domination number of a graph, Proceedings of the Forty first Southeastern International Conference on Combinatorics, Graph Theory and Computing. Congressus Numerantium, (2010), Vol. 203, 15-32 (pdf preprint).
5. E. Delavina, C. Larson, R. Pepper and B. Waller, “Graffiti.pc on the Total Domination Number of a Tree”, Congressus Numerantium 195 (2009) 5-18.
6. R. Pepper, "On the Annihilation Number of a Graph", Proceedings of the 15th American Conference on Applied Mathematics, WSEAS, Vol. 1, (2009) 217-220
7. E. Delavina, R. Pepper and B. Waller, "A Note on Dominating Sets and Average Distance", Discrete Mathematics (2009), Vol. 309 (8), 2615-2619.
8. R. Pepper, "An Upper Bound on the Independence Number of Benzenoid Systems", Discrete Applied Mathematics 156 (2008) 607-619.
9. E. DeLaVina, R. Pepper, Q. Liu, B. Waller, D. West, “Some Conjectures of Graffiti.pc on Total Domination”, Congressus Numerantium 185 (2007) 81-95.
10. R. Pepper, D. Klein, “Some Theorems About the Randic Connectivity Index”, MATCH Commun. Math. Comput. Chem. 58 (2007) 359-364.
11. E. DeLaVina, R. Pepper, B. Waller, "Independence, Radius, and Hamiltonian Paths" MATCH Commun. Math. Comput. Chem. 58 (2007) 481-510.
12. G. Henry, R. Pepper, D. Sexton, "Cut-Edges and the Independence Number" MATCH Commun. Math. Comput. Chem. 56, 403-408 (2006).
13. R. Pepper, "On New Didactics of Mathematics - Learning Graph Theory via Graffiti", American Mathematical Society Publications - DIMACS Series Volume 69 (2005).
14. R. Pepper, "Binding Independence", PH.D. Dissertation, University of Houston(2004).

Accepted for Publication and to appear:

1. E. Delavina, R. Pepper and B. Waller, "Lower bounds for the domination number", submitted to Discussiones Mathematicae Graph Theory (2008).

Submitted for Publication:

1. E.Delavina, C.Larson, R.Pepper, B.Waller, "On Total Domination and Support Vertices of a Tree", submitted 2009.
2. E.Delavina, C.Larson, R.Pepper, B.Waller, "A Characterization of Graphs where the Independence Number Equals the Radius", submitted to Graphs and Combinatorics 2009.

In preparation:

1. S. Fajtlowicz, R.Pepper, "The Balancing Index or Annihilation Number of a graph", to be submitted in 2010.
2. R.Pepper, "Cut-vertices and the independence number”, to be submitted in 2010.