Title
H-colouring bipartite graphs
Abstract
For graphs G and H, an H-colouring of G (or homomorphism from G to H) is a function from the vertices of G to the vertices of H that preserves adjacency. H-colourings generalize such graph theory notions as proper colourings and independent sets. For a given H, k@?V(H) and G we consider the proportion of vertices of G that get mapped to k in a uniformly chosen H-colouring of G. Our main result concerns this quantity when G is regular and bipartite. We find numbers 0=
Year
DOI
Venue
2012
10.1016/j.jctb.2011.12.004
Journal of Combinatorial Theory
Keywords
Field
DocType
proper colouring,bipartite graph,graphs g,graph theory notion,main result concern,independent set,structural change,graph theory
Complete bipartite graph,Discrete mathematics,Combinatorics,Strongly regular graph,Edge-transitive graph,Vertex-transitive graph,Graph power,Bound graph,Graph homomorphism,Bipartite graph,Mathematics
Journal
Volume
Issue
ISSN
102
3
0095-8956
Citations 
PageRank 
References 
4
0.51
5
Authors
2
Name
Order
Citations
PageRank
John Engbers1216.79
David Galvin25511.59