Indian Journal of Science and Technology
Year: 2023, Volume: 16, Issue: 37, Pages: 3159-3167
M N Prakasha1, Puttaswamy1, S Purushothama2*, S R Nayaka1
1Department of Mathematics, PESCE, Mandya, Visvesveraya Technological University, Belagavi, 590018, India
2Department of Mathematics, MIT Mysore, Mandya, Visvesveraya Technological University, Belagavi, 590018, India
Email: [email protected]
Received Date:04 August 2023, Accepted Date:03 September 2023, Published Date:09 October 2023
Objectives: To define and study the minimum pendant dominating partition energy of some standard graphs. Further we also establish upper and lower bounds for minimum pendant dominating partition energy of a graph G. Methods: To establish the upper and lower bounds for the energy of graphs we employ the Standard methods of proofs namely direct methods and using Matlab to compute the minimum pendant dominating partition eigen values of a graph G. Findings: In this paper we calculated the minimum pendant dominating partition energy of some standard family of graphs and also find the properties of minimum pendant dominating partition eigen values of of G. Some bounds are established. Novelty: In this article we found some interesting properties of minimum pendant dominating partition eigen values.
Keywords: Dominating set; Pendant Dominating set; Minimum Pendant Dominating set; Partition Energy; Minimum Partition Energy
© 2023 Prakasha et al. 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)
Subscribe now for latest articles and news.