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Wiener Indices in Random Cyclooctane Chains
Authors:Shouliu Wei  Xiaoling Ke  Yan Wang
Institution:1.College of Mathematics and Data Science,Minjiang University,Fuzhou, Fujian,China;2.School of Mathematics and Statistics,Minnan Normal University,Zhangzhou, Fujian,China
Abstract:The Wiener index of a connected graph (molecule graph) G is the sum of the distances between all pairs of vertices of G. In this paper, simple exact formula are established for the expected value of Wiener index in random cyclooctane chain. Moreover, we obtain the average value of the Wiener indices with respect to the set of all cyclooctane chains with n octagons.
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