Elliptic Sombor stress energy of graphs

Auteurs-es

  • Hakeem A. Othman Albaydha University, Al Bayda, YEMEN
  • M. Kirankumar Vidyavardhaka College of Engineering, Mysuru, India
  • P. Siva Kota Reddy JSS Science and Technology University
  • Husniyah Alzubaidi Umm Al-Qura University, KINGDOM OF SAUDI ARABIA.
  • Sami H. Altoum Manar Al Janoub College of Science and Technology, Jazan, KINGDOM OF SAUDI ARABIA

DOI :

https://doi.org/10.5269/bspm.81683

Résumé

In this paper, we present the elliptic Sombor stress matrix ( ESSM(G) ) for a connected graph ( G ), which is linked to the elliptic Sombor stress index. We analyze the matrix's structural properties, derive bounds for its eigenvalues, and define the elliptic Sombor stress energy ( E_{ESSM}(G) ) as the total sum of the absolute values of its eigenvalues. Additionally, we explore its applicability in chemistry by comparing ( E_{ESSM}(G) ) with the ( \pi )-electron energy of benzene derivatives.

Biographies de l'auteur-e

  • Hakeem A. Othman, Albaydha University, Al Bayda, YEMEN

    Associate Professor, Department of Mathematics

  • M. Kirankumar, Vidyavardhaka College of Engineering, Mysuru, India

    Associate Professor, Department of Mathematics

  • P. Siva Kota Reddy, JSS Science and Technology University

    Professor, Departmnet of Mathematics, JSS Science and Technology, Mysuru-570 006, India

  • Husniyah Alzubaidi, Umm Al-Qura University, KINGDOM OF SAUDI ARABIA.

    Associate Professor, Department of Mathematics

  • Sami H. Altoum, Manar Al Janoub College of Science and Technology, Jazan, KINGDOM OF SAUDI ARABIA

    Professor, Department of Mathematics

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Publié

2026-04-30

Numéro

Vol. 44 No. 15 (2026): International Conference on Applications of Mathematics in Modern Science and Technology

Rubrique

Conf. Issue: Applications of Mathematics in Modern Science and Technology

Licence

© Boletim da Sociedade Paranaense de Matemática 2026

Licence Creative Commons

Cette œuvre est sous licence Creative Commons Attribution 4.0 International.

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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