Inverse Detour Eccentric Domination in Graphs

A Mohamed Ismayil; R Priyadharshini

doi:10.17485/IJST/v17sp1.135

Article

Inverse Detour Eccentric Domination in Graphs

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17sp1.135

Year: 2024, Volume: 17, Issue: Special Issue 1, Pages: 79-85

Original Article

Inverse Detour Eccentric Domination in Graphs

A Mohamed Ismayil¹, R Priyadharshini^2*

¹Associate Professor, PG & Research Department of Mathematics, Jamal Mohamed College (Autonomous) (Affiliated to Bharathidasan University), Tiruchirappalli, 620 020, Tamil Nadu, India
²Research Scholar, PG & Research Department of Mathematics, Jamal Mohamed College (Autonomous) (Affiliated to Bharathidasan University), Tiruchirappalli, 620 020, Tamil Nadu,India

*Corresponding Author
Email: [email protected]

Received Date:29 August 2023, Accepted Date:05 March 2024, Published Date:31 May 2024

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

Abstract

Objective: To determine the inverse detour eccentric domination number, inverse independent detour eccentric domination number and inverse total detour eccentric domination number for well-kwon graphs. Methods: Method of proving by existential statement and proving by different cases are used to prove the theorem and by determining the proposed numbers using the least cardinality. Findings: Inverse detour domination number and other numbers are determined and the relation between the proposed number and other existing numbers was found. Novelty: The detour distance is used to find the Inverse detour eccentric domination number and other numbers.

Keywords: Eccentric Dominating Set, Detour Eccentric Dominating Set, Detour Eccentric Domination Number, Inverse Detour Eccentric Dominating Set, Inverse Detour Eccentric Domination Number.

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Copyright

© 2024 Ismayil & Priyadharshini. 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)