Bi-Cohen-Macaulay graphs
Commutative Algebra
2015-08-31 v1 Combinatorics
Abstract
In this paper we consider bi-Cohen-Macaulay graphs, and give a complete classification of such graphs in the case they are bipartite or chordal. General bi-Cohen-Macaulay graphs are classified up to separation. The inseparable bi-Cohen-Macaulay graphs are determined. We establish a bijection between the set of all trees and the set of inseparable bi-Cohen-Macaulay graphs.
Keywords
Cite
@article{arxiv.1508.07119,
title = {Bi-Cohen-Macaulay graphs},
author = {Jürgen Herzog and Ahad Rahimi},
journal= {arXiv preprint arXiv:1508.07119},
year = {2015}
}
Comments
13 pages, 7 figures