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 study the harmonic index of total graph for some standards graphs, bipartite graph of particular type, regular graph, Grid graph Gm, n and Complete Binary tree. We also obtained harmonic index of total graphs of bridge graph of path, cycle and complete graph.
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A. Velusamy and Iyer, R. R., “Harmonic index of total graphs of some graphs”, International Journal of Mechanical Engineering and Technology, vol. 8, pp. 1359-1368, 2017.