University of Isfahan Transactions on Combinatorics 2251-8657 1 4 2012 12 01 Hosoya and Merrifield-Simmons indices of some classes of corona of two graphs 1 7 1946 10.22108/toc.2012.1946 EN Mohammad Hossein Reyhani Islamic Azad University, Yazd branch Saeid Alikhani Yazd University Mohammad Ali Iranmanesh Yazd University Journal Article 2012 06 12 Let $G=(V,E)$ be a‎ ‎simple graph of order $n$ and size $m$‎. ‎An $r$-matching of $G$ is‎ ‎a set of $r$ edges of $G$ which no two of them have common vertex‎. ‎The Hosoya index $Z(G)$ of a graph $G$ is defined as the total‎ ‎number of its matchings‎. ‎An independent set of $G$ is a set of‎ ‎vertices where no two vertices are adjacent‎. ‎The‎ ‎Merrifield-Simmons index of $G$ is defined as the total number of‎ ‎the independent sets of $G$‎. ‎In this paper we obtain Hosoya and‎ ‎Merrifield-Simmons indices of corona of some graphs‎. https://toc.ui.ac.ir/article_1946_94db2778225c932d0361b35eb33357ba.pdf