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On Intersection Hypergraph of Finite Non-Cyclic Abelian Groups

A N Ardra, S Ballal

math.COarXiv:2610.16941

Abstract

In this paper, we study various structural properties like girth, chromatic num ber, etc. of the intersection hypergraph on the subgroups of nite non-cyclic abelian group and we characterize for the star and hypertree structures. Fur thermore, we characterize hypergraphs which are embeddable on plane, torus and projective plane.

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