The Expected Values of the Wiener Indices in the Random Phenylene and Spiro Chains

Li Ma1, Hong Bian1, Bingjie Liu1, Haizheng Yu2
1School of Mathematical Science, Xinjiang Normal University, Urumai, Xinjiang, 830054, P. R. China
2 College of Mathematics and System Sciences, Xinjiang University, Urumgi, Xinjiang, 830046, P. R. China

Abstract

In this paper, we obtain some analytical expressions and give two simple formulae for the expected values of the Wiener indices of the random Phenylene and Spiro hexagonal chains.