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Extremal symmetric division deg index of molecular trees and molecular graphs with fixed number of pendant vertices

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  • Du, Jianwei
  • Sun, Xiaoling

Abstract

In 2018, Furtula et al. proved that the symmetric division deg index is a viable and applicable topological index in QSPR/QSAR investigations. In this article, we identify the extremal trees with respect to symmetric division deg index among all molecular trees with fixed number of pendant vertices. In addition, we get a lower bound on symmetric division deg index for all molecular (n,m,p)-graphs (n-order molecular graphs with m≥n edges and p>0 pendant vertices).

Suggested Citation

  • Du, Jianwei & Sun, Xiaoling, 2022. "Extremal symmetric division deg index of molecular trees and molecular graphs with fixed number of pendant vertices," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    • Handle: RePEc:eee:apmaco:v:434:y:2022:i:c:s0096300322005124
    DOI: 10.1016/j.amc.2022.127438
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    Cited by:

    1. 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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