A Novel Study of Graphs Based on  m -Polar Cubic Structures | Zendy

G. Muhiuddin | Zendy; Abdulaziz M. Alanazi | Zendy; Ahsan Mahboob | Zendy; Ali H. Alkhaldi | Zendy; Wejdan S. S. Alatwai | Zendy

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A Novel Study of Graphs Based on

m

-Polar Cubic Structures

Author(s) -

G. Muhiuddin,

Abdulaziz M. Alanazi,

Ahsan Mahboob,

Ali H. Alkhaldi,

Wejdan S. S. Alatwai

Publication year - 2022

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2022/2643575

Subject(s) - isomorphism (crystallography) , mathematics , polar , complement (music) , combinatorics , discrete mathematics , physics , chemistry , crystal structure , crystallography , biochemistry , astronomy , complementation , phenotype , gene

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.

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