Web of Science (Emerging Sources Citation Index)

Document Type: Original Research Article

Authors

1 Department of Mathematics, Open Educational College, Ministry of Education, Al-Qadisiya Centre, Iraq

2 Department of Mathematics, Open Educational College, Ministry of Education, Al-Qadisiya Centre, Iraq

3 Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed University, Kumbakonam, Tamil Nadu, India

4 Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed University, Kumbakonam, Tamil Nadu, India

Abstract

Let G=(V, E) is a molecular graph in which the vertex set V represents atoms and the edge set E represents the bonds between the atoms, corresponding to a chemical compound. In this research study, we introduced a new type of distance based topological indices called multiplicative leap Zagreb indices which is used to analyze the structural properties of some chemicals. They are as follows ,  and  where is the 2-degree of the vertex u, defined as the number of vertices which are at distance two from u in G. We computed exact values of these indices for some well known graphs and also we obtained results for a special families of t-thorny graphs namely, t-thorny path graphs, t-thorny star graphs, t-thorny complete graphs and t-thorny complete bipartite graphs and t-thorny cycles.

Graphical Abstract

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