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New concepts of regularity in product m-polar fuzzy graphs

Ganesh Ghorai, Madhumangal Pal, Hossein Rashmanlou, R. A. Borzooei

Abstract



An m-polar fuzzy graph is a generalized structure of a bipolar fuzzy graph which gives more precision, flexibility and compatibility to a system. In this paper, some properties of an edge regular product m-polar fuzzy graphs are given. Also, strongly regular and biregular product m-polar fuzzy graphs are defined. Then necessary and sufficient condition for a product m-polar fuzzy graph to be strongly regular is studied. Likewise, partially edge regular product m-polar fuzzy graphs and fully edge regular product m-polar fuzzy graphs are defined with suitable examples.

Keywords


Product m-polar fuzzy graphs, edge regular product m-polar fuzzy graphs, biregular product m-polar fuzzy graphs, partially and fully edge regular product m-polar

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