School of mathematics and big data, Anhui University of Science and Technology, 232001 Huainan, China.
Math Biosci Eng. 2022 Jul 28;19(11):10826-10845. doi: 10.3934/mbe.2022506.
The Gutman index and Schultz index of a connected graph are degree-distance-based topological indices. In this paper, we devoted to establish the explicit analytical expressions for the simple formulae of the expected values of the Gutman and Schultz indices in a random polygonal. Based on these results above, we get the extremal values and average values of Gunman and Schultz indices of all polygonal chains.
关联图的古特曼指数和舒尔茨指数是基于度-距离的拓扑指数。在本文中,我们致力于建立随机多边形中古特曼和舒尔茨指数的期望值的简单公式的显式解析表达式。基于这些结果,我们得到了所有多边形链的古特曼和舒尔茨指数的极值和平均值。