Sami Publishing Company (SPC)Eurasian Chemical Communications2717-05352820200801Multiplicative leap Zagreb indices of T-thorny graphs84184610787510.33945/SAMI/ECC.2020.8.2ENRaad SehenHaoerDepartment of Mathematics, Open Educational College, Ministry of Education, Al-Qadisiya Centre, IraqMohanad AliMohammedDepartment of Mathematics, Open Educational College, Ministry of Education, Al-Qadisiya Centre, Iraq0000-0002-7507-1212TamileelamSelvarasanDepartment of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed University, Kumbakonam, Tamil Nadu, India0000-0002-5862-863XNatarajanChidambaramDepartment of Mathematics, Srinivasa Ramanujan Centre,
SASTRA Deemed University, Kumbakonam, Tamil Nadu, India0000-0002-1001-3556NarasimhanDevadossDepartment of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed University, Kumbakonam, Tamil Nadu, India0000-0001-9375-3754Journal Article20200428Let 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.http://www.echemcom.com/article_107875_1bc9a83fe9d0d06f63c90b46c26395b2.pdf