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Original Articles

Hypergraphs and Hypergroups Based on a Special Relation

, &
Pages 3395-3406 | Received 18 Dec 2012, Published online: 04 Apr 2014
 

Abstract

The purpose of this paper is the study of hypergroups associated with hypergraphs. In this regards, we construct a ρ-hypergroup by means a given hypergraph by defining a special relation ρ, and then we investigate some related properties. Further, we introduce a special product of ρ-hypergroups. Also, we bridge between subhypergraphs and subhypergroups. Finally, the fundamental relation of a ρ-hypergroup is studied.

2010 AMS Mathematics Subject Classification:

Notes

Communicated by V. A. Artamonov.

Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/lagb.

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