CourtneyGibbons.org

With Dr. Joshua Laison and Erick J. Paul. Submitted to Discrete Math in September of 2004.
Abstract:
If some pebbles are distributed on the vertices of a graph, a pebbling step takes two pebbles from one vertex and replaces one at an adjacent vertex. A distribution D of pebbles is solvable if, starting from D, a [...]

With Dr. Joshua Laison. Submitted to The Online Journal of Combinatorics in September, 2006.
Abstract:
The fixing number of a graph G is the smallest cardinality of a set of vertices S such that only the trivial automorphism of G fixes every vertex in S. The fixing set of a group Γ is the set of [...]