Open AccessTransmission and Reciprocal Transmission Based Topological Co-Indices of Graphs
Author(s) -
Harishchandra S. Ramane,
Saroja Y. Talwar,
İsmaıl Nacı Cangül
Publication year - 2020
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v13i5.3724
Subject(s) - reciprocal , vertex (graph theory) , transmission (telecommunications) , mathematics , topology (electrical circuits) , combinatorics , graph , discrete mathematics , computer science , telecommunications , philosophy , linguistics
The transmission of a vertex u in a connected graph G is defined as the sum of thedistances 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.