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On Sombor index of trees with fixed domination number

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  • Sun, Xiaoling
  • Du, Jianwei

Abstract

The Sombor index is a novel topological molecular descriptor introduced by Gutman in 2021. In this work, the maximum and minimum Sombor indices of trees with fixed domination number are presented. Furthermore, the corresponding extremal trees are identified.

Suggested Citation

  • Sun, Xiaoling & Du, Jianwei, 2022. "On Sombor index of trees with fixed domination number," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    • Handle: RePEc:eee:apmaco:v:421:y:2022:i:c:s0096300322000327
    DOI: 10.1016/j.amc.2022.126946
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    References listed on IDEAS

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    1. Zhang, Weilin & You, Lihua & Liu, Hechao & Huang, Yufei, 2021. "The expected values and variances for Sombor indices in a general random chain," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    2. Shuchao Li & Huihui Zhang, 2016. "Some extremal properties of the multiplicatively weighted Harary index of a graph," Journal of Combinatorial Optimization, Springer, vol. 31(3), pages 961-978, April.
    3. Borovićanin, Bojana & Furtula, Boris, 2016. "On extremal Zagreb indices of trees with given domination number," Applied Mathematics and Computation, Elsevier, vol. 279(C), pages 208-218.
    4. Shuchao Li & Xian Meng, 2015. "Four edge-grafting theorems on the reciprocal degree distance of graphs and their applications," Journal of Combinatorial Optimization, Springer, vol. 30(3), pages 468-488, October.
    5. Cruz, Roberto & Gutman, Ivan & Rada, Juan, 2021. "Sombor index of chemical graphs," Applied Mathematics and Computation, Elsevier, vol. 399(C).
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    Cited by:

    1. Ayu Ameliatul Shahilah Ahmad Jamri & Fateme Movahedi & Roslan Hasni & Rudrusamy Gobithaasan & Mohammad Hadi Akhbari, 2022. "Minimum Randić Index of Trees with Fixed Total Domination Number," Mathematics, MDPI, vol. 10(20), pages 1-13, October.

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