# Hosoya and Merrifield-Simmons indices of some classes of corona of two graphs

Document Type : Research Paper

Authors

1 Islamic Azad University, Yazd branch

2 Yazd University

Abstract

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.

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