ON AVERAGE SQUARE STRESS ENERGY OF GRAPHS

Chaithra C., Kirankumar M., Pavithra M., Siva Kota Reddy P., CANGÜL İ. N.

Journal of Applied Mathematics and Informatics, vol.43, no.5, pp.1423-1437, 2025 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 5
  • Publication Date: 2025
  • Doi Number: 10.14317/jami.2025.1423
  • Journal Name: Journal of Applied Mathematics and Informatics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.1423-1437
  • Keywords: average square stress eigenvalues, average square stress energy, energy, Graph, stress of a vertex
  • Bursa Uludag University Affiliated: Yes

Abstract

In this article, we introduce the average square stress matrix ASS(G) for a connected graph G. We investigate the properties of this matrix, establish bounds on its eigenvalues, and define the average square stress energy EASS (G) as the sum of the absolute values of its eigenvalues. Furthermore, we discuss its potential relevance in chemistry by comparing EASS (G) with the π-electron energy of polyaromatic hydrocarbons.