Title
Local Algorithms for the Prime Factorization of Strong Product Graphs
Abstract
The practical application of graph prime factorization algorithms is limited in practise by unavoidable noise in the data. A first step towards error-tolerant "approximate" prime factorization, is the development of local approaches that cover the graph by factorizable patches and then use this information to derive global factors. We present here a local, quasi-linear algorithm for the prime factorization of "locally unrefined graphs with respect to the strong product. To this end we introduce the backbone B(G) for a given graph G and show that the neighborhoods of the backbone vertices provide enough information to determine the global prime factors. Mathematics Subject Classification (2000). Primary 99Z99; Secondary 00A00.
Year
DOI
Venue
2009
10.1007/s11786-009-0073-y
Mathematics in Computer Science
Keywords
Field
DocType
. strong product graphs, local covering, backbone.
Factor graph,Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Algorithm,Prime factor,Mathematics
Journal
Volume
Issue
ISSN
abs/1705.03823
4
1661-8289
Citations 
PageRank 
References 
6
0.51
3
Authors
4
Name
Order
Citations
PageRank
marc hellmuth114822.80
Wilfried Imrich244453.81
Werner Klöckl3142.20
Peter F. Stadler425662.77