Sharp Bounds for the General Sum-Connectivity Indices of Transformation Graphs

Haiying Wang, Jia-Bao Liu, Shaohui Wang, Wei Gao, Shehnaz Akhter, Muhammad Imran and Mohammad R. Farahani

Discrete Dynamics in Nature and Society, 2017, vol. 2017, 1-7

Abstract:

Given a graph , the general sum-connectivity index is defined as , where (or ) denotes the degree of vertex (or ) in the graph and 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 , where .

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:2941615

DOI: 10.1155/2017/2941615

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