A study on m-polar fuzzy planar graphs
by Ganesh Ghorai; Madhumangal Pal
International Journal of Computing Science and Mathematics (IJCSM), Vol. 7, No. 3, 2016

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.

Online publication date: Sun, 17-Jul-2016

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