3-Zero-Divisor Hypergraph with Respect to an Element in Multiplicative Lattice

Yıl 2019, Cilt: 40 Sayı: 4, 792 - 801, 31.12.2019

Gülşen Ulucak

https://doi.org/10.17776/csj.485085

Öz

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.

Anahtar Kelimeler

3-Zero-Divisor Hypergraph, , Complete n-partite Hypergraph.

Kaynakça

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