A Novel Study of Graphs Based on <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>m</mi> </math>-Polar Cubic Structures-Reference-Cited by-同舟云学术

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

Published:2022-04-22 Issue: Volume:2022 Page:1-12
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Muhiuddin G.¹^ORCID,Alanazi A. M.¹^ORCID,Mahboob A.²,Alkhaldi A. H.³,Alatwai Wejdan¹

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia

2. Department of Mathematics, Madanapalle Institute of Technology & Science, 517325, Madanapalle, India

3. Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha, Saudi Arabia

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.

Funder

Deanship of Scientific Research at University of Tabuk

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/2643575.pdf

Reference32 articles.

1. FUZZY GRAPHS††The support of the Office of Computing Activities, National Science Foundation, under Grant GJ-32258X, is gratefully acknowledged, as is the help of Shelly Rowe in preparing this paper.

2. Operations on fuzzy graphs

3. Fuzzy Graphs and Fuzzy Hypergraphs