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

Author

Listed:
  • Haiying Wang
  • Jia-Bao Liu
  • Shaohui Wang
  • Wei Gao
  • Shehnaz Akhter
  • Muhammad Imran
  • Mohammad R. Farahani

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 .

Suggested Citation

  • Haiying Wang & Jia-Bao Liu & Shaohui Wang & Wei Gao & Shehnaz Akhter & Muhammad Imran & Mohammad R. Farahani, 2017. "Sharp Bounds for the General Sum-Connectivity Indices of Transformation Graphs," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-7, December.
    • Handle: RePEc:hin:jnddns:2941615
    DOI: 10.1155/2017/2941615
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    Cited by:

    1. Raza, Zahid & Akhter, Shehnaz, 2023. "On maximum Zagreb connection indices for trees with fixed domination number," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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