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COMBINATORICS
2007
73views more  COMBINATORICS 2007»
13 years 7 months ago
Using Determining Sets to Distinguish Kneser Graphs
This work introduces the technique of using a carefully chosen determining set to prove the existence of a distinguishing labeling using few labels. A graph G is said to be d-dist...
Michael O. Albertson, Debra L. Boutin
LMCS
2006
119views more  LMCS 2006»
13 years 7 months ago
The monadic second-order logic of graphs XVI : Canonical graph decompositions
This article establishes that the split decomposition of graphs introduced by Cunnigham, is definable in Monadic Second-Order Logic.This result is actually an instance of a more ge...
Bruno Courcelle
JGT
2010
84views more  JGT 2010»
13 years 6 months ago
Large classes of infinite k-cop-win graphs
While finite cop-win finite graphs possess a good structural characterization, none is known for infinite cop-win graphs. As evidence that such a characterization might not exis...
Anthony Bonato, Gena Hahn, Claude Tardif
JCT
2010
135views more  JCT 2010»
13 years 6 months ago
Countable connected-homogeneous graphs
Abstract. A graph is connected-homogeneous if any isomorphism between finite connected induced subgraphs extends to an automorphism of the graph. In this paper we classify the cou...
Robert Gray, D. Macpherson
AAAI
2007
13 years 10 months ago
Discovering Near Symmetry in Graphs
Symmetry is a widespread phenomenon that can offer opportunities for powerful exploitation in areas as diverse as molecular chemistry, pure mathematics, circuit design, biology an...
Maria Fox, Derek Long, Julie Porteous