五棱柱与 Möbius 链中 Degree-Kirchhoff 指数、Gutman 指数和 Schultz 指数的刻画
Characterizing the Degree-Kirchhoff, Gutman, and Schultz Indices in Pentagonal Cylinders and Möbius Chains
AI总结：
本文针对五棱柱与 Möbius 链，推导其 degree-Kirchhoff 指数闭式公式，并计算相应的 Gutman 指数与 Schultz 指数。
摘要：
连通图的 degree-Kirchhoff 指数定义为归一化 Laplacian 矩阵非零特征值倒数之和，每一项再乘以该图的总度数。近期已有若干研究得到了各类图的 degree-Kirchhoff 指数的显式表达式。本文给出五棱柱和 Möbius 链的 degree-Kirchhoff 指数的闭式公式。此外，我们还计算了这些图的 Gutman 指数和 Schultz 指数。
英文摘要：
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 Möbius chains. Additionally, we calculate the Gutman index and Schultz index for these graphs.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
