Methematical Chemistry

Raad Sehen Haoer; Mohanad Ali Mohammed; Tamileelam Selvarasan; Natarajan Chidambaram; Narasimhan Devadoss

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**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 ...
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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.

Methematical Chemistry

Mohanad Ali Mohammed; Raad Sehen Haoer; Janet Robert; Natarajan Chidambaram; Narasimhan Devadoss

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**Abstract **

The 2-degree of a vertex v in a (molecular) graph G is the number of vertices which are at distance two from v in G. The F-leap index of a molecular graph G is the sum of cubes of the 2-degree of every vertex v in G. In this research study, we have computed the F-leap index of some special classes of ...
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The 2-degree of a vertex v in a (molecular) graph G is the number of vertices which are at distance two from v in G. The F-leap index of a molecular graph G is the sum of cubes of the 2-degree of every vertex v in G. In this research study, we have computed the F-leap index of some special classes of bridges and chain graphs. We also have determined the F-leap index of some chemical structures including polyphenyl chains and spiro chains.