ON LEAP ZAGREB INDICES OF SOME CYCLE RELATED GRAPHS

ON LEAP ZAGREB INDICES OF SOME CYCLE RELATED GRAPHS

C. Natarajan, S. Swathi, M. R. Farahani

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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 Za- greb indices are the recently introduced distance-based topological indices de ned 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.

Keywords

Zagreb indices, Leap Zagreb indices, cycle, shell graph.