Cohen-Macaulayness of bipartite graphs, revisited
Commutative Algebra
2010-12-14 v2
Abstract
Cohen-Macaulayness of bipartite graphs is investigated by several mathematicians and has been characterized combinatorially. In this note, we give some different combinatorial conditions for a bipartite graph which are equal to Cohen-Macaulayness of the graphs. Conditions in the previous works are depending on an appropriate ordering on vertices of the graph. The conditions presented in this paper are not depending to any ordering. Finally, we present a fast algorithm to check Cohen-Macaulayness of a given bipartite graph.
Keywords
Cite
@article{arxiv.1012.0457,
title = {Cohen-Macaulayness of bipartite graphs, revisited},
author = {Rashid Zaare-Nahandi},
journal= {arXiv preprint arXiv:1012.0457},
year = {2010}
}
Comments
7 pages