A Novel Study of Graphs Based on m-Polar Cubic Structures. (22nd April 2022)

• Record Type: Journal Article
• Authors: Muhiuddin, G.; Alanazi, A. M.; Mahboob, A.; Alkhaldi, A. H.; Alatwai, Wejdan
• Other Names: Gulzar Muhammad Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-04-22
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/2643575
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : By combining the notions of interval-valued m-polar fuzzy graphs and m-polar fuzzy graphs, the notion of m-polar cubic graphs is first introduced. Then, the degree of a vertex in m-polar cubic graphs and complete m-polar cubic graphs is defined. After that, the concepts of direct product and strong product of m-polar cubic graphs are given. Moreover, weak isomorphism and co-weak isomorphism are defined, and examples are given to prove that weak isomorphism and co-weak isomorphism are not an isomorphism. Finally, the notion of complement m-polar cubic graphs and weak complement m-polar cubic graphs is presented.