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.
Primary Language | English |
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Journal Section | Natural Sciences |
Authors | |
Publication Date | December 31, 2019 |
Submission Date | November 19, 2018 |
Acceptance Date | October 23, 2019 |
Published in Issue | Year 2019Volume: 40 Issue: 4 |