On leap Zagreb indices of some cycle related graphs

Abstract

Let G = (V, E) represent a graph. The 2-degree of a vertex v in G is the number of vertices which are at distance two from v and denoted by d₂(v). The leap Zagreb indices are the recently introduced distance-based topological indices defined using 2-degrees of vertices in G. In this paper, we compute the leap Zagreb indices of some cycle related graphs, namely book graph, cycle with parallel chords, cycle with parallel Pk chords, shell graph and shell type graphs.