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arXiv · 2302.07170

Characterizing the Degree-Kirchhoff, Gutman, and Schultz Indices in Pentagonal Cylinders and M\"{o}bius Chains

Md. Abdus Sahir·Sk. Md. Abu Nayeem
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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.

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Md. Abdus Sahir, Sk. Md. Abu Nayeem. 2023-02-14. Characterizing the Degree-Kirchhoff, Gutman, and Schultz Indices in Pentagonal Cylinders and M\"{o}bius Chains. https://arxiv.org/abs/2302.07170

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