Analytical Study of Distance-Based Topological Indices for the Cluster Product of Km  and Pn

Giridharan K; Maragathavalli S; Abinprakash R

doi:10.59828/pijms.v2i3.41

Authors

Giridharan K Research Scholar, Department of Mathematics, Govt Arts College, Udumalpet, India Author
Maragathavalli S Assistant Professor, Department of Mathematics, Govt Arts College, Udumalpet, India Author
Abinprakash R Assistant Professor, Department of Mathematics, Akshaya College of Engineering and Technology, Coimbatore, India Author

DOI:

https://doi.org/10.59828/pijms.v2i3.41

Keywords:

Wiener index, Hyper-Wiener Index, Harary Index, Reciprocal Complementary Wiener Index, Sum Connectivity Index, Batschelet Index, Reverse Wiener Index, Reciprocal Reverse Wiener Index and Cluster Product.

Abstract

A topological index is an analytically derived numerical quantity that characterizes the structural properties of a graph. These indices play a crucial role in chemical graph theory and quantitative structure–property/activity relationship (QSPR/QSAR) studies. In this paper, we investigate several distance-based topological indices and clusters, including the Wiener index (W), Hyper-Wiener index (WW), Harary index (H), Reciprocal Complementary Wiener index (RCW), Sum Connectivity Index (SCI), Batschelet Index (B), Reverse Wiener index (∧), Reciprocal Reverse Wiener index (R∧(G)).