Title
Fast recognition of direct and strong products
Abstract
This note describes fast algorithms for computing the prime factors of connected, non-bipartite graphs with respect to the direct product, and of connected graphs with respect to the strong product. The complexities are O(m min(n(2),Delta(3))) for the direct product, and O(m a(G)Delta) for the strong, where n is the order of the graph G to be factored, m its size, a(G) its arboricity, and Delta its maximum degree. That is, the complexities are linear in m for fixed Delta.
Year
DOI
Venue
2014
10.26493/1855-3974.320.43e
ARS MATHEMATICA CONTEMPORANEA
Keywords
Field
DocType
Graph products,algorithms
Discrete mathematics,Graph,Combinatorics,Direct product,Degree (graph theory),Prime factor,Arboricity,Mathematics
Journal
Volume
Issue
ISSN
7
2
1855-3966
Citations 
PageRank 
References 
2
0.39
4
Authors
2
Name
Order
Citations
PageRank
Richard H. Hammack15115.00
W. Imrich26420.65