Dr. Robert Rubalcaba

       

       

       

       

Manuscripts:

• Efficient (j,k)-domination (with P. J. Slater), submitted 2006.
• Fractional domination, fractional packings, and fractional isomorphisms of graphs (P. D. Johnson advising), Ph.D. Dissertation, Auburn University (2005).

Refereed Publications:

• p-norm fractional domination in graphs (with D. G. Hoffman, P. D. Johnson and M. Walsh), to appear in AKCE International Journal of Graphs and Combinatorics.
• A survey on graphs which have equal domination and closed nieghborhood packing numbers (with A. Schneider and P. J. Slater), to appear in AKCE International Journal of Graphs and Combinatorics.
• Roman dominating influence parameters (with P. J. Slater), to appear in Discrete Mathematics
• Chromatic Villainy in graphs (with S. A. Clark, J. E. Holliday, S. H. Holliday, P. D. Johnson, J. E. Trimm and M. Walsh), to appear in Congressus Numerantium
• A note on obtaining k dominating sets from a k-dominating function on a tree (with P. J. Slater), to appear in Bulletin of the Institute of Combinatorics and its Applications
• Domination null and packing null vertices of a graph (with P. D. Johnson and M. Walsh), Congressus Numerantium 168 (2004) 49--63.
• The actions of fractional automorphisms (with P. D. Johnson and M. Walsh), Journal of Combinatorial Mathematics and Combinatorial Computing 50 (2004) 57-64.
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• Concerning fractional automorphisms (with P. D. Johnson and M. Walsh), Congressus Numerantium 159 (2002) 113-117.
• The chromatic numbers of some Euclidean distance graphs (with A. Bohannon, P. D. Johnson and J. Lanig) Geombinatorics 10 (2001), 141--164.

Presentations:

• Efficient Multiple Domination, Thirty-Seventh Southeastern International Conference on Combinatorics, Graph Theory, and Computing , Boca Raton, FL, March 2006.

Contact Information:

• Email: r.rubalcaba AT gmail.com