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

Section

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

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