Genus value of m-polar fuzzy graphs

Article type: Research Article

Authors: Mandal, Sonia | Sahoo, Sankar^{; *} | Ghorai, Ganesh | Pal, Madhumangal

Affiliations: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India

Correspondence: [*] Corresponding author. Sankar Sahoo, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India. E-mail: [email protected].

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.

Keywords: m-polar fuzzy graphs, graph embedding, genus value, strong and weak m-polar genus value

DOI: 10.3233/JIFS-171442

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1947-1957, 2018