Almost Cohen-Macaulay bipartite graphs and connected in codimension two
Commutative Algebra
2021-12-21 v1 Combinatorics
Abstract
In this paper we study almost Cohen-Macaulay bipartite graphs. Furthermore, we prove that if is almost Cohen-Macaulay bipartite graph with at least one vertex of positive degree, then there is a vertex of . In particular, if is an almost Cohen-Macaulay bipartite graph and is a vertex of degree one of and its adjacent vertex, then is almost Cohen-Macaulay. Also, we show that an unmixed Ferrers graph is almost Cohen-Macaulay if and only if it is connected in codimension two. Moreover, we give some examples.
Cite
@article{arxiv.2112.10062,
title = {Almost Cohen-Macaulay bipartite graphs and connected in codimension two},
author = {Amir Mafi and Dler Naderi},
journal= {arXiv preprint arXiv:2112.10062},
year = {2021}
}
Comments
12 pages. Comments welcome