English

Certain Classes of Cohen-Macaulay Multipartite Graphs

Commutative Algebra 2018-03-22 v1

Abstract

The Cohen-Macaulay property of a graph arising from a poset has been studied by various authors. In this article, we study the Cohen-Macaulay property of a graph arising from a family of reflexive and antisymmetric relations on a set. We use this result to find classes of multipartite graphs which are Cohen-Macaulay.

Cite

@article{arxiv.1803.07880,
  title  = {Certain Classes of Cohen-Macaulay Multipartite Graphs},
  author = {Rajiv Kumar and Ajay Kumar},
  journal= {arXiv preprint arXiv:1803.07880},
  year   = {2018}
}
R2 v1 2026-06-23T01:00:11.590Z