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Energy of m-Polar Fuzzy Digraphs

Energy of m-Polar Fuzzy Digraphs
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Author(s): Muhammad Akram (University of the Punjab, Pakistan), Danish Saleem (University of the Punjab, Pakistan) and Ganesh Ghorai (Vidyasagar University, India)
Copyright: 2020
Pages: 23
Source title: Handbook of Research on Advanced Applications of Graph Theory in Modern Society
Source Author(s)/Editor(s): Madhumangal Pal (Vidyasagar University, India), Sovan Samanta (Tamralipta Mahavidyalaya, India) and Anita Pal (National Institute of Technology Durgapur, India)
DOI: 10.4018/978-1-5225-9380-5.ch020

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Abstract

In this chapter, firstly some basic definitions like fuzzy graph, its adjacency matrix, eigenvalues, and its different types of energies are presented. Some upper bound and lower bound for the energy of this graph are also obtained. Then certain notions, including energy of m-polar fuzzy digraphs, Laplacian energy of m-polar fuzzy digraphs and signless Laplacian energy of m-polar fuzzy digraphs are presented. These concepts are illustrated with several example, and some of their properties are investigated.

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