Title
Distinguishing Cartesian products of countable graphs.
Abstract
The distinguishing number D(G) of a graph G is the minimum number of colors needed to color the vertices of G such that the coloring is preserved only by the trivial automorphism. In this paper we improve results about the distinguishing number of Cartesian products of finite and infinite graphs by removing restrictions to prime or relatively prime factors.
Year
DOI
Venue
2017
10.7151/dmgt.1902
DISCUSSIONES MATHEMATICAE GRAPH THEORY
Keywords
Field
DocType
vertex coloring,distinguishing number,automorphisms,infinite graphs,Cartesian and weak Cartesian product
Discrete mathematics,Product measure,Combinatorics,Countable set,Direct product,Cartesian product,Product (mathematics),Box topology,Product (category theory),Product category,Mathematics
Journal
Volume
Issue
ISSN
37
1
1234-3099
Citations 
PageRank 
References 
3
0.47
0
Authors
5
Name
Order
Citations
PageRank
Ehsan Estaji151.19
W. Imrich26420.65
Rafał Kalinowski34810.75
Monika Pilśniak4289.31
Thomas W. Tucker5191130.07