The Wiener-Type Indices of the Corona of Two Graphs

Abstract

The corona of two graphs $G$ and $H$, written as $G\odot H$, is the graph obtained by taking one copy of $G$ and $|V(G)|$ copies of $H$, and then joining the $i$th vertex of $G$ to every vertex in the $i$th copy of $H$. In this paper, we present the explicit formulae for the Wiener, hyper-Wiener and reverse-Wiener indices of the corona of two graphs.