Merhaba Misafir

3-zero-divisor hypergraph with respect to an element in multiplicative lattice

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Let be a multiplicative lattice and be a proper element of . We introduce the 3-zero-divisor hypergraph of with respect to which is a hypergraph whose vertices are elements of the set where distinct vertices and are adjacent, that is, is a hyperedge if and only if . Throughout this paper, the hypergraph is denoted by We investigate many properties of the hypergraph over a multiplicative lattice. Moreover, we find a lower bound of diameter of and obtain that is connected.

Yayınlandığı Kaynak : Cumhuriyet Science Journal
  • Yıl : 2019
  • DOI : 10.17776/csj.485085
  • Cilt : 40
  • ISSN : 2587-2680
  • Sayı : 4
  • eISSN : 2587-246X
  • Sayfa Aralığı : 792-801
  • IO Kayıt No : 107146
  • Yayıncı : Cumhuriyet Üniversitesi