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COMBINATORICS
2006
121views more  COMBINATORICS 2006»
14 years 9 months ago
Identifying Graph Automorphisms Using Determining Sets
A set of vertices S is a determining set for a graph G if every automorphism of G is uniquely determined by its action on S. The determining number of a graph is the size of a sma...
Debra L. Boutin
DLT
2010
14 years 11 months ago
Compressed Conjugacy and the Word Problem for Outer Automorphism Groups of Graph Groups
Abstract. It is shown that for graph groups (right-angled Artin groups) the conjugacy problem as well as a restricted version of the simultaneous conjugacy problem can be solved in...
Niko Haubold, Markus Lohrey, Christian Mathissen
EJC
2010
14 years 9 months ago
Some graphs related to the small Mathieu groups
Two different constructions are given of a rank 8 arc-transitive graph with 165 vertices and valency 8, whose automorphism group
Alice Devillers, Michael Giudici, Cai Heng Li, Che...
DM
2010
117views more  DM 2010»
14 years 9 months ago
The distinguishing chromatic number of Cartesian products of two complete graphs
A labeling of a graph G is distinguishing if it is only preserved by the trivial automorphism of G. The distinguishing chromatic number of G is the smallest integer k such that G ...
Janja Jerebic, Sandi Klavzar
GC
2007
Springer
14 years 9 months ago
Consistent Cycles in Graphs and Digraphs
Let Γ be a finite digraph and let G be a subgroup of the automorphism group of Γ. A directed cycle C of Γ is called G-consistent whenever there is an element of G whose restri...
Stefko Miklavic, Primoz Potocnik, Steve Wilson