Title
Some results on the lexicographic product of vertex-transitive graphs
Abstract
Many large graphs can be constructed from existing smaller graphs by using graph operations, for example, the Cartesian product and the lexicographic product. Many properties of such large graphs are closely related to those of the corresponding smaller ones. In this short note, we give some properties of the lexicographic products of vertex-transitive and of edge-transitive graphs. In particular, we show that the lexicographic product of Cayley graphs is a Cayley graph.
Year
DOI
Venue
2011
10.1016/j.aml.2011.05.021
Applied Mathematics Letters
Keywords
Field
DocType
Cayley graph,Lexicographic product,Vertex-transitive graph
Discrete mathematics,Indifference graph,Combinatorics,Modular decomposition,Vertex-transitive graph,Lexicographic breadth-first search,Chordal graph,Graph product,Cograph,Pathwidth,Mathematics
Journal
Volume
Issue
ISSN
24
11
0893-9659
Citations 
PageRank 
References 
3
0.41
5
Authors
4
Name
Order
Citations
PageRank
Feng Li1204.90
Wei Wang28112.64
Zongben Xu33203198.88
Haixing Zhao41813.27