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CORR
2010
Springer
90views Education» more  CORR 2010»
14 years 9 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky
JCT
2008
68views more  JCT 2008»
14 years 9 months ago
Pseudo 2-factor isomorphic regular bipartite graphs
A graph is pseudo 2
Marien Abreu, A. A. Diwan, Bill Jackson, Domenico ...
ITA
2006
163views Communications» more  ITA 2006»
14 years 9 months ago
Graph fibrations, graph isomorphism, and PageRank
PageRank is a ranking method that assigns scores to web pages using the limit distribution of a random walk on the web graph. A fibration of graphs is a morphism that is a local i...
Paolo Boldi, Violetta Lonati, Massimo Santini, Seb...
MFCS
2009
Springer
15 years 2 months ago
Representing Groups on Graphs
In this paper we first explore the group theoretic techniques developed for graph isomorphism. We specifically discuss the techniques developed by Luks for solving constrained v...
Sagarmoy Dutta, Piyush P. Kurur
GC
2007
Springer
14 years 9 months ago
Subdivision Extendibility
Let H be a multigraph and G a graph containing a subgraph isomorphic to a subdivision of H, with S ⊂ V (G) (the ground set) the image of V (H) under the isomorphism. We consider...
Ronald J. Gould, Thor Whalen