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COMBINATORICS
2006
121views more  COMBINATORICS 2006»
13 years 7 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
13 years 8 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
13 years 7 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»
13 years 7 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
13 years 7 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