Energy of Indu-Bala product of graphs

Authors

  • Bolle Parvathalu Department of Mathematics, Karnatak University's Karnatak Science/Arts College, Dharwad, 580001, Karnataka, India https://orcid.org/0000-0002-5151-8446
  • Keerthi Ganapatrao Mirajkar Department of Mathematics, Karnatak University's Karnatak Science/Arts College, Dharwad, 580001, Karnataka, India
  • Roopa Subhas Naikar Karnatak University https://orcid.org/0009-0007-7597-5864
  • Shobha Rajashekhar Konnur Department of Mathematics, Karnatak University's Karnatak Science/Arts College, Dharwad, 580001, Karnataka, India https://orcid.org/0009-0000-7313-0584

Keywords:

Graph energy, Indu-Bala product, Equienergetic graphs, Complement of a graphs

Abstract

The energy of a graph $\Gamma$ is defined as the sum of the absolute values of its eigenvalues. In this article, we compute the energy of the Indu-Bala product of two regular graphs and establish bounds for its energy. Furthermore, we explore the concepts of equienergetic, borderenergetic, orderenergetic, and non-hyperenergetic graphs using the Indu-Bala product of two regular graphs.

Vol. 8(2) (2025): International Journal of Maps in Mathematics

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Published

2025-09-28

Issue

Vol. 8 No. 2 (2025): International Journal of Maps in Mathematics

Section

Article

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How to Cite

Parvathalu, B., Mirajkar, K. G., Naikar, R. S., & Konnur, S. R. (2025). Energy of Indu-Bala product of graphs. International Journal of Maps in Mathematics, 8(2), 668-680. https://simadp.com/journalmim/article/view/243

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