Title
Asymmetric colorings of products of graphs and digraphs
Abstract
We extend results about asymmetric colorings of finite Cartesian products of graphs to strong and direct products of graphs and digraphs. On the way we shorten proofs for the existence of prime factorizations of finite digraphs and characterize the structure of the automorphism groups of strong and direct products. The paper ends with results on asymmetric colorings of Cartesian products of finite and infinite digraphs.
Year
DOI
Venue
2019
10.1016/j.dam.2018.12.023
Discrete Applied Mathematics
Keywords
Field
DocType
Vertex colorings,Asymmetric colorings,Automorphisms,Cartesian, strong, and direct products of graphs and digraphs
Graph theory,Prime (order theory),Discrete mathematics,Set theory,Combinatorics,Cartesian product,Automorphism,Directed graph,Mathematical proof,Prime factor,Mathematics
Journal
Volume
ISSN
Citations 
266
0166-218X
0
PageRank 
References 
Authors
0.34
9
4
Name
Order
Citations
PageRank
Izak Broere114331.30
W. Imrich26420.65
Rafał Kalinowski34810.75
Monika Pilśniak4289.31