Bi-Cohen-Macaulay graphs

Jürgen Herzog; Ahad Rahimi

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arXiv · 1508.07119

Bi-Cohen-Macaulay graphs

Jürgen Herzog·Ahad Rahimi

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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.

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BibTeX RIS

Jürgen Herzog, Ahad Rahimi. 2015-08-28. Bi-Cohen-Macaulay graphs. https://arxiv.org/abs/1508.07119

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