Title
Unique square property, equitable partitions, and product-like graphs.
Abstract
Equivalence relations on the edge set of a graph G that satisfy restrictive conditions on chordless squares play a crucial role in the theory of Cartesian graph products and graph bundles. We show here that such relations in a natural way induce equitable partitions on the vertex set of G, which in turn give rise to quotient graphs that can have a rich product structure even if G itself is prime.
Year
DOI
Venue
2014
10.1016/j.disc.2013.12.012
Discrete Mathematics
Keywords
DocType
Volume
graph g,crucial role,equitable partition,product-like graph,chordless square,equivalence relation,restrictive condition,rich product structure,unique square property,graph bundle,cartesian graph product
Journal
320
ISSN
Citations 
PageRank 
0012-365X
3
0.44
References 
Authors
15
3
Name
Order
Citations
PageRank
marc hellmuth114822.80
Lydia Ostermeier2293.98
Peter F. Stadler31839152.96