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Distance Degree Index of Some Derived Graphs

Author

Listed:
  • Jianzhong Xu

    (Department of Electronics and Information Engineering, Bozhou University, Bozhou 236800, China)

  • Jia-Bao Liu

    (School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China)

  • Ahsan Bilal

    (Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan)

  • Uzma Ahmad

    (Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan)

  • Hafiz Muhammad Afzal Siddiqui

    (Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54590, Pakistan)

  • Bahadur Ali

    (Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan)

  • Muhammad Reza Farahani

    (Department of Applied Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran)

Abstract

Topological indices are numerical values associated with a graph (structure) that can predict many physical, chemical, and pharmacological properties of organic molecules and chemical compounds. The distance degree ( D D ) index was introduced by Dobrynin and Kochetova in 1994 for characterizing alkanes by an integer. In this paper, we have determined expressions for a D D index of some derived graphs in terms of the parameters of the parent graph. Specifically, we establish expressions for the D D index of a line graph, subdivision graph, vertex-semitotal graph, edge-semitotal graph, total graph, and paraline graph.

Suggested Citation

  • Jianzhong Xu & Jia-Bao Liu & Ahsan Bilal & Uzma Ahmad & Hafiz Muhammad Afzal Siddiqui & Bahadur Ali & Muhammad Reza Farahani, 2019. "Distance Degree Index of Some Derived Graphs," Mathematics, MDPI, vol. 7(3), pages 1-12, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:283-:d:215379
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