School of Mathematics and Big Data, Anhui University of Science & Technology, Huainan 232000, China.
Molecules. 2022 Oct 12;27(20):6838. doi: 10.3390/molecules27206838.
Two famous topological indices, the Gutman index and Schultz index, are studied in this article. We mainly calculate the exact analytical formulae for the expected values of the Gutman index and Schultz index of a random regular polygonal chain with regular polygons. Moreover, we determine the average values and the extremal values of the indices in regard to the set of all these regular polygonal chains.
本文研究了两个著名的拓扑指数,即 Gutman 指数和 Schultz 指数。我们主要计算了具有 个正多边形的随机正则多边形链的 Gutman 指数和 Schultz 指数的期望的精确解析公式。此外,我们确定了这些正则多边形链集合中这些指数的平均值和极值。