On fz- Domination Number of Fuzzy Graphs

Authors

  • A Lekha Maharaja’s Technological Institute, Thrissur, Kerala,
  • K.S Parvathy St. Mary’s College, Thrissur, Kerala,

DOI:

https://doi.org/10.23755/rm.v46i0.1078

Keywords:

fuzzy graph, fz-dominating sets, fz-domination number, graph operations

Abstract

Given a fuzzy graph G = (V; ; ), the fz- domination number, fz(G),
is the least scalar cardinality of an fz- dominating set of G. In this article,
we examine several features of fz-domination number of fuzzy
graphs as a result of various fuzzy graph operations. We find bounds
for the fz-domination number of a few graph products and look at the
requirements for the sharpness of these bounds.

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Published

2023-03-20

Issue

Vol. 46 (2023): Special Issue: Advance of Mathematics in Science and Engineering

Section

Volume 46-2023

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