Domination in vague graphs and its applications

R. A. Borzooei · Hossein Rashmanlou

69 citations0/0 files storedJournal of Intelligent & Fuzzy Systems

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Fuzzy and Soft Set Theory Advanced Graph Theory Research Graph Labeling and Dimension Problems

Abstract

The concept of vague graph introduced by Ramakrishna in [ 8 ]. The main purpose of this paper is to introduce the concepts of cardinality, dominating set, independent set, total dominating number and independent dominating number of a vague graph. The notion of irredundance number of a vague graph is discussed, too. Finally we give an application of domination in vague graphs.

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References

1965Fuzzy sets 1996Fuzzy sets 1993Vague sets 1975FUZZY GRAPHS††The support of the Office of Computing Activities, National Science Foundation, under Grant GJ-32258X, is gratefully acknowledged, as is the help of Shelly Rowe in preparing this paper.1998Domination in fuzzy graphs – I 2013Fuzzy k-Competition Graphs and p-Competition Fuzzy Graphs 2015A study on bipolar fuzzy graphs 2012Irregular Bipolar Fuzzy Graphs

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