Bi-Cohen-Macaulay graphs

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.

13 pages, 7 figures

References in corpus (2)

• Letterplace and co-letterplace ideals of posets
• The many polarizations of powers of maximal ideals