Sharp Bounds for the General Sum-Connectivity Indices of Transformation Graphs
Discrete Dynamics in Nature and Society, Volume 2017, Article 2941615, Year 2017
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Given a graph G, the general sum-connectivity index is defined as χα(G)=uvE(G)dGu+dGvα, where dG(u) (or dG(v)) denotes the degree of vertex u (or v) in the graph G and α is a real number. In this paper, we obtain the sharp bounds for general sum-connectivity indices of several graph transformations, including the semitotal-point graph, semitotal-line graph, total graph, and eight distinct transformation graphs Guvw, where u,v,w+,-.