Characterizing the Degree-Kirchhoff, Gutman, and Schultz Indices in Pentagonal Cylinders and M\"{o}bius Chains
Combinatorics
2024-09-10 v2 Discrete Mathematics
Abstract
The degree-Kirchhoff index of a connected graph is defined as the sum of the reciprocals of the non-zero eigenvalues of the normalized Laplacian matrix, each multiplied by the graph's total degree. Several studies have recently obtained explicit formulations for the degree-Kirchhoff index of various kinds of class graphs. This paper presents closed-form formulas for the degree-Kirchhoff index of pentagonal cylinders and M\"{o}bius chains. Additionally, we calculate the Gutman index and Schultz index for these graphs.
Keywords
Cite
@article{arxiv.2302.07170,
title = {Characterizing the Degree-Kirchhoff, Gutman, and Schultz Indices in Pentagonal Cylinders and M\"{o}bius Chains},
author = {Md. Abdus Sahir and Sk. Md. Abu Nayeem},
journal= {arXiv preprint arXiv:2302.07170},
year = {2024}
}