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Extremal values of vertex-degree-based topological indices of chemical trees

Author

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  • Cruz, Roberto
  • Monsalve, Juan
  • Rada, Juan

Abstract

One important topic in chemical graph theory is the extremal value problem of vertex-degree-based topological indices over chemical trees. It is our main goal in this paper to unify many of these results in one general theorem which captures the common properties which are essential. We also apply our results to obtain extremal values of exponential vertex-degree-based topological indices over chemical trees.

Suggested Citation

  • Cruz, Roberto & Monsalve, Juan & Rada, Juan, 2020. "Extremal values of vertex-degree-based topological indices of chemical trees," Applied Mathematics and Computation, Elsevier, vol. 380(C).
  • Handle: RePEc:eee:apmaco:v:380:y:2020:i:c:s0096300320302502
    DOI: 10.1016/j.amc.2020.125281
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    Cited by:

    1. Cruz, Roberto & Gutman, Ivan & Rada, Juan, 2021. "Sombor index of chemical graphs," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    2. Li, Shuchao & Wang, Zheng & Zhang, Minjie, 2022. "On the extremal Sombor index of trees with a given diameter," Applied Mathematics and Computation, Elsevier, vol. 416(C).
    3. Du, Jianwei & Sun, Xiaoling, 2024. "On bond incident degree index of chemical trees with a fixed order and a fixed number of leaves," Applied Mathematics and Computation, Elsevier, vol. 464(C).

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