Minimum Equitable Dominating Harary Energy of a Graph

Prakasha K., Mahalank P., CANGÜL İ. N.

Proceedings of the Jangjeon Mathematical Society, vol.27, no.1, pp.65-72, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.17777/pjms2024.27.1.65
  • Journal Name: Proceedings of the Jangjeon Mathematical Society
  • Journal Indexes: Scopus, zbMATH
  • Page Numbers: pp.65-72
  • Keywords: minimum equitable dominating Harary eigenvalues, minimum equitable dominating Harary energy of a graph, Minimum equitable dominating set
  • Bursa Uludag University Affiliated: Yes

Abstract

The purpose of this paper is to introduce the concept of minimum equitable dominating Harary energy HEed(G) of a graph. We also compute the minimum equitable dominating Harary energy HEed(G) of some families of graphs. We establish bounds for minimum equitable dominating Harary energy. Open problems are also given for further research.