On reciprocal molecular topological index
Copyright policy )On reciprocal molecular topological index
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 M-1. 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 Kr+1 -free graphs with r >= 2, quadrangle-free graphs, and cacti. Additionally, we consider a Nordhaus-Gaddum-type result for RMTI.
- South China Normal University China (People's Republic of)
molecular topological index ; reciprocal molecular topological index: first Zagreb index ; connected graphs ; Kr+1-free graphs ; quadrangle free-graphs ; Cacti, first Zagreb index, Applications of graph theory, quadrangle free-graphs, \(K_{r+1}\)-free graphs, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), molecular topological index, reciprocal molecular topological index, Cacti, connected graphs, Kr+1-free graphs, cacti
molecular topological index ; reciprocal molecular topological index: first Zagreb index ; connected graphs ; Kr+1-free graphs ; quadrangle free-graphs ; Cacti, first Zagreb index, Applications of graph theory, quadrangle free-graphs, \(K_{r+1}\)-free graphs, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), molecular topological index, reciprocal molecular topological index, Cacti, connected graphs, Kr+1-free graphs, cacti
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