Title: A study on m-polar fuzzy planar graphs

Authors: Ganesh Ghorai; Madhumangal Pal

Addresses: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721-102, India ' Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721-102, India

Abstract: In many practical applications with a graph structure, there may exist crossing between edges which is not allowed in a crisp planar graph. Considering that graphic structures can be used to describe the crossing of edges in an m-polar fuzzy multi-graph with certain amount of m-polar fuzzy planarity value, first of all the notion of m-polar fuzzy multi-set is introduced. Then m-polar fuzzy multi-graphs, m-polar fuzzy planar graphs and m-polar fuzzy strong edges are defined. Several properties of m-polar fuzzy planar graphs are also studied.

Keywords: m-polar fuzzy graphs; m-polar fuzzy multi-graphs; m-polar fuzzy planar graphs; considerable edges; edge crossing.

DOI: 10.1504/IJCSM.2016.077854

International Journal of Computing Science and Mathematics, 2016 Vol.7 No.3, pp.283 - 292

Received: 05 Oct 2015
Accepted: 25 Feb 2016
Published online: 17 Jul 2016 *

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