A NOTE ON CERTAIN TOPOLOGICAL INDICES OF THE DERIVED GRAPHS OF SUBDIVISION GRAPHS

B. Basavanagoud, C. S. Gali

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Abstract

In this note, we correct some errors in S. M. Hosamani et al. [TWMS J. App. Eng. Math., 6(2), (2016) pp. 324{332]. The derived graph [G]^y of a graph G is the graph having the same vertex set as G, with two vertices of [G]^y being adjacent if and only if their distance in G is two. Further, we compute generalized Randic, general Zagreb, general sum-connectivity, ABC, GA, ABC₄, and GA₅ indices of the derived graphs of subdivision graphs.

Keywords

derived graph, subdivision graph, line graph, topological index.