Harmonic Index of Total Graphs of Some Graphs
Anandkumar Velusamy, Radha Rajamani Iyer

TL;DR
This paper investigates the harmonic index of total graphs derived from various standard graph types, including bipartite, regular, grid, and binary trees, providing insights into their spectral properties.
Contribution
It introduces the calculation of the harmonic index for total graphs of specific graph classes, expanding understanding of spectral graph invariants.
Findings
Harmonic index values for total bipartite graphs
Harmonic index for regular total graphs
Results for grid and binary tree total graphs
Abstract
Let G = G(V,E) be a graph with | V | vertices and | E | edges and total graph, T(G) is obtained from G. In This paper we have study the Harmonic index of total graph for standards graphs, bipartite graph of particular type, regular graph, Grid graph Gm,n and Complete Binary tree.
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Taxonomy
TopicsGraph theory and applications · Graph Labeling and Dimension Problems · Advanced Graph Theory Research
