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.

Keywords:

matching , Hosoya , Merrifield-Simmons index , corona