Title
Relations between graphs
Abstract
Given two graphs G = (V-G,V- E-G) and H = (V-H, E-H), we ask under which conditions there is a relation R subset of V-G x V-H that generates the edges of H given the structure of the graph G. This construction can be seen as a form of multihomomorphism. It generalizes surjective homomorphisms of graphs and naturally leads to notions of R-retractions, R-cores, and R-cocores of graphs. Both R-cores and R-cocores of graphs are unique up to isomorphism and can be computed in polynomial time.
Year
DOI
Venue
2013
10.26493/1855-3974.335.d57
ARS MATHEMATICA CONTEMPORANEA
Keywords
Field
DocType
Generalized surjective graph homomorphism,R-reduced graph,R-retraction,binary relation,multihomomorphism,R-core,cocore
Topology,Discrete mathematics,Combinatorics,Indifference graph,Graph isomorphism,Graph homomorphism,Chordal graph,Graph product,Symmetric graph,Pathwidth,1-planar graph,Mathematics
Journal
Volume
Issue
ISSN
6
2
1855-3966
Citations 
PageRank 
References 
0
0.34
2
Authors
5
Name
Order
Citations
PageRank
Jan Hubicka15512.83
Jürgen Jost29512.39
Yangjing Long301.01
Peter F. Stadler41839152.96
Ling Yang500.34