New concepts of fuzzy planar graphs

Sovan Samanta · Anita Pal · Madhumangal Pal

70 citations0/0 files storedINTERNATIONAL JOURNAL OF ADVANCED RESEARCH IN ARTIFICIAL INTELLIGENCE

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Fuzzy and Soft Set Theory Advanced Graph Theory Research Advanced Algebra and Logic

Abstract

Fuzzy planar graph is an important subclass of fuzzy graph. Fuzzy planar graphs and its several properties are presented. A very close association of fuzzy planar graph is fuzzy dual graph. This is also defined and several properties of it are studied. Isomorphism on fuzzy graphs are well defined in literature. Isomorphic relation between fuzzy planar graph and its dual graph are established.

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References

2011Bipolar fuzzy graphs 2003Strong arcs in fuzzy graphs 2009Types of arcs in a fuzzy graph 2012Intuitionistic fuzzy hypergraphs with applications 2013Fuzzy k-Competition Graphs and p-Competition Fuzzy Graphs 2012Bipolar fuzzy graphs with applications 1992Fuzzy graphs in the evaluation and optimization of networks 2012Bipolar Fuzzy Hypergraphs

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