Regularities of Typical Sigma Index on Caterpillar Trees of Pendent Vertices
Abstract
In this paper, topological indices play a significant role in the analysis of caterpillar trees, especially due to their applications in chemical graph theory. We presented a study on topological indices related to the Sigma index, which we carefully selected on caterpillar trees with multiple levels. Through the election of these topological indices, we provide efficient models of these indices on caterpillar trees, as it is known that the Albertson index is the basis on which most of the topological indices are built and we have shown this through the close correlation between the Albertson's index and the Sigma index.
Keywords
Cite
@article{arxiv.2502.10469,
title = {Regularities of Typical Sigma Index on Caterpillar Trees of Pendent Vertices},
author = {Jasem Hamoud and Duaa Abdullah},
journal= {arXiv preprint arXiv:2502.10469},
year = {2025}
}
Comments
22 pages, 7 figures, 3 tables, we add open problems of topological indices such that Sombor index and Randic index, minor changes in introduction, Comments welcome!