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math.CO2012
Uniquely K_r-Saturated Graphs
Stephen G. Hartke, Derrick Stolee
A graph G is uniquely K_r-saturated if it contains no clique with r vertices and if for all edges e in the complement, G + e has a unique clique with r vertices. Previously, few ex…
math.CO2012
Automorphism Groups and Adversarial Vertex Deletions
Derrick Stolee
Any finite group can be encoded as the automorphism group of an unlabeled simple graph. Recently Hartke, Kolb, Nishikawa, and Stolee (2010) demonstrated a construction that allows…