Some Standard Seidel Energy Results of the Minimum Maximal Dominating Graphs

Bramila Manthiram; Meenakshi Annamalai

doi:10.17485/IJST/v17i12.52

Article

Some Standard Seidel Energy Results of the Minimum Maximal Dominating Graphs

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17i12.52

Year: 2024, Volume: 17, Issue: 12, Pages: 1231-1236

Original Article

Some Standard Seidel Energy Results of the Minimum Maximal Dominating Graphs

Bramila Manthiram^1,2, Meenakshi Annamalai^2*

¹Department of Mathematics, DRBCCC Hindu College, University of Madras, Chennai, 600072, Tamil Nadu, India
²Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Deemed to be University, Chennai, 600 062, Tamil Nadu, India

*Corresponding Author
Email: [email protected]

Received Date:08 January 2024, Accepted Date:19 February 2024, Published Date:20 March 2024

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

Abstract

Objectives: Let be a finite and connected graph with β points and d edges. In this research, introduced the graph's minimum maximal dominating seidel energy ( and the properties of the latent roots of the given parameters are discussed. Method: In this research, the seidel energy of several graphs and its properties are investigated. Examined its minimum maximal limits and computed a few conventional seidel energy outcomes for the minimum maximal dominating graphs. Finding: Using the minimum maximal dominating seidel energy of graphs, significant outcomes were achieved for complete graphs, complete bipartite graphs, and star graphs. The properties of the class of graphs were computed. The established upper and lower bound is . Novelty: The seidel energy of the proposed research findings is used in various graphs based on the research. The fundamental characteristics of a graph, such as its energy upper and lower bounds, have been determined, and this knowledge has found notable chemical applications in the conjugated molecular orbital theory. Recommendations for future energy-related research are presented and examined.

Keywords: Connected graph, Dominating set, Latent roots, Minimum maximal, Seidel energy

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Copyright

© 2024 Manthiram & Annamalai. 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)