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arxiv: 1803.07880 · v1 · pith:CP2KXFSHnew · submitted 2018-03-21 · 🧮 math.AC

Certain Classes of Cohen-Macaulay Multipartite Graphs

classification 🧮 math.AC
keywords cohen-macaulayarisingclassesgraphgraphsmultipartitepropertyantisymmetric
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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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