Genus value of m -polar fuzzy graphs

Sonia Mandal · Sankar Sahoo · Ganesh Ghorai · Madhumangal Pal

33 citations0/0 files storedJournal of Intelligent & Fuzzy Systems

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

Abstract

In this paper, the embedding of m -polar fuzzy graphs which constructed on the surface of spheres is introduced. The m -polar fuzzy genus graphs with its genus value, strong and weak m -polar fuzzy genus graph are defined. Also isomorphism properties on m -polar fuzzy genus graph are discussed. The relation between planarity value and genus value of m -polar fuzzy graph is established. Euler polyhedral equation is established in terms of genus value of the m -polar fuzzy genus graph. Finally, an application of m -polar fuzzy genus graph is given in topological surface.

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References

1965Fuzzy sets 2011Bipolar fuzzy graphs 2016Taking the chance: Core self-evaluations predict relative gain in job resources following turnover 1989On automorphisms of fuzzy graphs 1997Bipolar Fuzzy Sets 2015Fuzzy Planar Graphs 2012Bipolar fuzzy graphs with applications 2011Regular bipolar fuzzy graphs

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2020Interval valued m-polar fuzzy planar graph and its application 2018Fuzzy colouring of m -polar fuzzy graph and its application

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