University of KashanIranian Journal of Mathematical Chemistry2228-648911420201201The Expected Values of Merrifield-Simmons Index in Random Phenylene Chains27128111129110.22052/ijmc.2020.237192.1508ENLinaWeiXinjiang Normal University0000-0003-2824-2338HongBianDepartment of Mathematics, Xinjiang Normal University,
Urumqi, Xinjiang 830054, P.R.China0000-0003-2824-2338HaizhengYuXinjiang UniversityJiliDingXinjiang normal UniversityJournal Article20200628The Merrifield-Simmons index of a graph G is the number of independent sets in G. In this paper, we give exact formulae for the expected value of the Merrifield-Simmons index of random phenylene chains by means of auxiliary graphs.https://ijmc.kashanu.ac.ir/article_111291_fc26675633cc992ed50db53685ba608a.pdf