hosoya and merrifield-simmons indices of some classes of corona of two graphs

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.