University of IsfahanTransactions on Combinatorics2251-86571420121201Hosoya and Merrifield-Simmons indices of some classes of corona of two graphs17194610.22108/toc.2012.1946ENMohammad HosseinReyhaniIslamic Azad University, Yazd branchSaeid AlikhaniYazd UniversityMohammad AliIranmaneshYazd UniversityJournal Article20120612Let $G=(V,E)$ 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.http://toc.ui.ac.ir/article_1946_94db2778225c932d0361b35eb33357ba.pdf