Topological Indices for the Resize Graph of (G₂(3))

Authors

Manar Musab Ftekhan, Department of Mathematics, College of Science, University of Baghdad, Baghdad, IraqFollow
Ali Abd Aubad, Department of Mathematics, College of Science, University of Baghdad, Baghdad, IraqFollow

Abstract

Indexes of topological play a crucial role in mathematical chemistry and network theory, providing valuable insights into the structural properties of graphs. In this study, we investigate the Resize graph of G₂(3), a significant algebraic structure arising from the exceptional Lie group (G₂) over the finite field F₃. We compute several well-known topological indices, including the Zagreb indices, Wiener index, and Randić index, to analyze the graph's connectivity and complexity. Our results reveal intricate relationships between the algebraic structure of G₂(3) and its graphical properties, offering a deeper understanding of its combinatorial and spectral characteristics. These findings contribute to the broader study of algebraic graph theory and its applications in chemistry, physics, and network analysis.

Recommended Citation

Ftekhan, Manar Musab and Aubad, Ali Abd (2025) "Topological Indices for the Resize Graph of (G₂(3))," Iraqi Journal for Computer Science and Mathematics: Vol. 6: Iss. 2, Article 27.
DOI: https://doi.org/10.52866/2788-7421.1269
Available at: https://ijcsm.researchcommons.org/ijcsm/vol6/iss2/27