The Cartesian product of graphs with loops
DOI:
https://doi.org/10.26493/1855-3974.715.c3dKeywords:
Graphs, monoids, factorizations, algorithms.Abstract
We extend the definition of the Cartesian product to graphs with loops and show that the Sabidussi–Vizing unique factorization theorem for connected finite simple graphs still holds in this context for all connected finite graphs with at least one unlooped vertex. We also prove that this factorization can be computed in O(m) time, where m is the number of edges of the given graph.Downloads
Published
2015-07-06
Issue
Section
Articles
License
Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/