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Bounds for the Sum-Balaban index and (revised) Szeged index of regular graphs

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  • Lei, Hui
  • Yang, Hua

Abstract

Mathematical properties of many topological indices are investigated. Knor et al. gave an upper bound for the Balaban index of r-regular graphs on n vertices and a better upper bound for fullerene graphs. They also suggested exploring similar bounds for other topological indices. In this paper, we consider the Sum-Balaban index and the (revised) Szeged index, and give upper and lower bounds for these three indices of r-regular graphs, and also the cubic graphs and fullerene graphs, respectively.

Suggested Citation

  • Lei, Hui & Yang, Hua, 2015. "Bounds for the Sum-Balaban index and (revised) Szeged index of regular graphs," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 1259-1266.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:1259-1266
    DOI: 10.1016/j.amc.2015.07.021
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    Cited by:

    1. Knor, Martin & Kranjc, Jaka & Škrekovski, Riste & Tepeh, Aleksandra, 2017. "On the minimum value of sum-Balaban index," Applied Mathematics and Computation, Elsevier, vol. 303(C), pages 203-210.
    2. Wang, Shujing, 2017. "On extremal cacti with respect to the Szeged index," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 85-92.
    3. Ji, Shengjin & Liu, Mengmeng & Wu, Jianliang, 2018. "A lower bound of revised Szeged index of bicyclic graphs," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 480-487.
    4. Črepnjak, Matevž & Tratnik, Niko, 2017. "The Szeged index and the Wiener index of partial cubes with applications to chemical graphs," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 324-333.

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