A Novel Study of Graphs Based on m-Polar Cubic Structures
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...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2643575 |
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| author | G. Muhiuddin A. M. Alanazi A. Mahboob A. H. Alkhaldi Wejdan Alatwai |
| author_facet | G. Muhiuddin A. M. Alanazi A. Mahboob A. H. Alkhaldi Wejdan Alatwai |
| author_sort | G. Muhiuddin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-70bc53aff25644f286a50e6baf752055 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-70bc53aff25644f286a50e6baf7520552025-02-03T01:22:14ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2643575A Novel Study of Graphs Based on m-Polar Cubic StructuresG. Muhiuddin0A. M. Alanazi1A. Mahboob2A. H. Alkhaldi3Wejdan Alatwai4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsBy 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.http://dx.doi.org/10.1155/2022/2643575 |
| spellingShingle | G. Muhiuddin A. M. Alanazi A. Mahboob A. H. Alkhaldi Wejdan Alatwai A Novel Study of Graphs Based on m-Polar Cubic Structures Journal of Function Spaces |
| title | A Novel Study of Graphs Based on m-Polar Cubic Structures |
| title_full | A Novel Study of Graphs Based on m-Polar Cubic Structures |
| title_fullStr | A Novel Study of Graphs Based on m-Polar Cubic Structures |
| title_full_unstemmed | A Novel Study of Graphs Based on m-Polar Cubic Structures |
| title_short | A Novel Study of Graphs Based on m-Polar Cubic Structures |
| title_sort | novel study of graphs based on m polar cubic structures |
| url | http://dx.doi.org/10.1155/2022/2643575 |
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