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, cilt.43, sa.5, ss.1423-1437, 2025 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 5
  • Basım Tarihi: 2025
  • Doi Numarası: 10.14317/jami.2025.1423
  • Dergi Adı: Journal of Applied Mathematics and Informatics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.1423-1437
  • Anahtar Kelimeler: average square stress eigenvalues, average square stress energy, energy, Graph, stress of a vertex
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.