On reciprocal molecular topological index |
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| Authors: | Bo Zhou Nenad Trinajsti? |
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| Institution: | (1) Department of Mathematics, South China Normal University, Guangzhou, 510631, P.R. China;(2) The Rugjer Bošković Institute, P. O. Box 180, Zagreb, 10 002, Croatia |
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| Abstract: | We report some properties of the reciprocal molecular topological index RMTI of a connected graph, and, in particular, its
relationship with the first Zagreb index M1. We also derive the upper bounds for RMTI in terms of the number of vertices and the number of edges for various classes
of graphs, including K
r+1 -free graphs with r ≥ 2, quadrangle-free graphs, and cacti. Additionally, we consider a Nordhaus-Gaddum-type result for RMTI. |
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| Keywords: | Molecular topological index Reciprocal molecular topological index First Zagreb index Connected graphs K r+1-free graphs Quadrangle free-graphs Cacti |
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