Multiplicative leap Zagreb indices of T-thorny graphs

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 , L II1(G)=II-u∋v(G) d2(u)^2,LII2(G)=II-uv∋E(G) d2(u)d2(v) and LII(G)=II-u∋v(G) deg (U)d2 (u)  where d2(u) 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 tthorny graphs namely, tthorny path graphs, tthorny star graphs, tthorny complete graphs and tthorny complete bipartite graphs and tthorny cycles.