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Certain Classes of Cohen-Macaulay Multipartite Graphs

2018/03/21 by Kumar, Rajiv, Kumar, Ajay
#05E40 #13C14 #13D02 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1803.07880

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.

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