Category Archives: Research

Critical Pebbling Numbers of Graphs

By Courtney Gibbons | Published: September 29, 2006
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 [...]
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Fixing Numbers of Graphs and Groups

By Courtney Gibbons | Published: September 29, 2006
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 [...]
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