Transmission and Reciprocal Transmission Based Topological Co-Indices of Graphs

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i5.3724

Keywords:

transmission of a vertex, reciprocal transmission of a vertex, topological index, graph distance

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 co-indices, 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.

Author Biography

  • Ismail Naci Cangul, BURSA ULUDAG UNIVERSITY

    Mathematics,

     

    Professor, Researcher

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Published

2020-12-27

Issue

Vol. 13 No. 5 (2020): Special Issue Dedicated to Professor Hari M. Srivastava on the Occasion of his 80th Birthday

Section

Special Issue Dedicated to Professor Hari M. Srivastava on the Occasion of his 80th Birthday

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How to Cite

Transmission and Reciprocal Transmission Based Topological Co-Indices of Graphs. (2020). European Journal of Pure and Applied Mathematics, 13(5), 1057-1071. https://doi.org/10.29020/nybg.ejpam.v13i5.3724