Publication: Transmission and reciprocal transmission based topological co-indices of graphs
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Authors
Cangül, İsmail Naci
Authors
Ramane, Harishchandra S.
Talwar, Saroja Y.
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New York Business Global
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Abstract
The transmission of a vertex u in a connected graph G is defined as the sum of the distances between u and all other vertices of a graph G. The reciprocal transmission of a vertex u in a connected graph G is defined as the sum of the reciprocal of distances between u and all other vertices of a graph G. In this paper, we introduce and study new topological co-indices based on the transmission and reciprocal transmission of a vertex, such as transmission and reciprocal transmission sum-connectivity co-indices, transmission and reciprocal transmission atom bond connectivity co-indices, transmission and reciprocal transmission geometric-arithmetic coindices, transmission and reciprocal transmission augmented Zagreb co-indices, and transmission and reciprocal transmission arithmetic-geometric co-indices. Further we obtain general formulae for some graphs.
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Keywords
Mathematics, 1st Zagreb index, Transmission of a vertex, Graph distance, Reciprocal transmission of a vertex, Topological index
Citation
Ramane, H. S. vd. (2020). "Transmission and reciprocal transmission based topological co-indices of graphs". European Journal of Pure and Applied Mathematics, 13(5), Special Issue, 1057-1071.