Fuzzy Quotient -3 Cordial Labeling on Generalized Petersen Graph

P Sumathi; J Suresh Kumar

doi:10.17485/IJST/v16i9.1720

Article

Fuzzy Quotient -3 Cordial Labeling on Generalized Petersen Graph

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i9.1720

Year: 2023, Volume: 16, Issue: 9, Pages: 648-659

Original Article

Fuzzy Quotient -3 Cordial Labeling on Generalized Petersen Graph

P Sumathi¹, J Suresh Kumar^2*

¹Associate Professor, Department of Mathematics, C. Kandaswami Naidu College for Men, Anna Nagar, 600102, Chennai, India
²Assistant Professor, Department of Mathematics, St. Thomas College of Arts and Science, Koyambedu, Chennai, 600107, India

*Corresponding Author
Email: jskumar.robo@@gmail.com

Received Date:13 September 2022, Accepted Date:11 February 2023, Published Date:05 March 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: To analyze the existence of fuzzy quotient-3 cordial labeling on the generalized Petersen graph. Methods: The method involves mathematically defining how to label the vertex of a generalized Petersen graph and demonstrating that these formulations produce fuzzy quotient-3 cordial labeling. Findings: In this study, we proved that the generalized Petersen graph GP(h;m) ; 1 m < ⌊ h 2 ⌋ is fuzzy quotient-3 cordial, except for h 0( mod 6). Novelty: Here, we give fuzzy quotient-3 cordial labeling to some families of graphs, namely Durer graph, Desargues graph, Dodecahedral graph, Mobius Kantor graph, Petersen graph, Cubical graph, Cubic symmetric graph, Nauru graph and the generalized Petersen graph GP(h;m) .

Keywords: Labeling; Fuzzy Quotient -3 Cordial; Petersen Graph; Generalized Petersen Graph; Mobius Kantor Graph

References

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Copyright

© 2023 Sumathi & Kumar. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)