Schultz and Zagreb Indices in Corona of two Graphs

Xiaoling Ma1, Hong Bian2, Haizheng Yu1
1College of Mathematics and System Sciences, Xinjiang University, Urumgi, Xinjiang 830046, P.R. China
2School of Mathematical Science, Xinjiang Normal University, Urumdi, Xinjiang 830054, P.R. China

Abstract

The \({corona}\) of two graphs \(G\) and \(H\), written as \(G \odot H\), is defined as the graph obtained by taking one copy of \(G\) and \(|V(G)|\) copies of \(H\), and joining by an edge the \(i\)th vertex of \(G\) to every vertex in the \(i\)th copy of \(H\). In this paper, we present the explicit formulae of the (modified) Schultz and Zagreb indices in the corona of two graphs.