Upper g- Eccentric Domination in Fuzzy Graphs

S Muthupandiyan; A Mohamed Ismayil

doi:10.17485/IJST/v17sp1.142

Article

Upper g- Eccentric Domination in Fuzzy Graphs

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17sp1.142

Year: 2024, Volume: 17, Issue: Special Issue 1, Pages: 45-51

Original Article

Upper g- Eccentric Domination in Fuzzy Graphs

S Muthupandiyan^1*, A Mohamed Ismayil²

¹Research Scholar, PG & Research Department of Mathematics, Jamal Mohamed College (Affiliated to Bharathidasan University), Tiruchirapppalli, 620020, Tamil Nadu, India
²Associate Professor, PG & Research Department of Mathematics, Jamal Mohamed College (Affiliated to Bharathidasan University), Tiruchirapppalli, 620020, Tamil Nadu, India

*Corresponding Author
Email: [email protected]

Received Date:29 August 2023, Accepted Date:05 March 2024, Published Date:27 May 2024

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

Abstract

Objectives: To introduce a contemporary aspect notorious as upper g-eccentric point set, upper g-eccentric number, upper g-eccentric dominating set, upper g-eccentric domination number in fuzzy graphs and related concepts. Methods: Strong arc in fuzzy graphs concepts are used to find upper g-eccentric number and upper g-eccentric domination number. Findings: The new idea upper g-eccentric domination in fuzzy graphs will leads to numerous application such as cell phone tower formation in remote areas. Novelty: Using the concepts g-distance, geodesics and strong arc in fuzzy graphs, the upper g-eccentric dominating set and upper g-eccentric domination number in fuzzy graphs are obtained. Some points are observed in this concept and some theorem related to the upper g-eccentric dominant set, its numbers are proved.

Keywords: g-Eccentric Dominating Set; g-Eccentric Domination Number; Upper g-Eccentric Domination Number

References

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Copyright

© 2024 Muthupandiyan & Ismayil. 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)