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Sombor index of trees with at most three branch vertices

Author

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  • Cruz, Roberto
  • Rada, Juan
  • Sigarreta, José M.

Abstract

Let G be a graph with set of vertices V(G) and set of edges E(G). The Sombor index is a vertex-degree-based-topological index recently introduced by Ivan Gutman, defined asSO(G)=∑uv∈E(G)(du)2+(dv)2.In this paper we determine the extremal values of SO over trees with at most three branch vertices.

Suggested Citation

  • Cruz, Roberto & Rada, Juan & Sigarreta, José M., 2021. "Sombor index of trees with at most three branch vertices," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    • Handle: RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300321005038
    DOI: 10.1016/j.amc.2021.126414
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    References listed on IDEAS

    as
    1. Cruz, Roberto & Gutman, Ivan & Rada, Juan, 2021. "Sombor index of chemical graphs," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    2. Banerjee, Anirban & Mehatari, Ranjit, 2015. "Characteristics polynomial of normalized Laplacian for trees," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 838-844.
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    Cited by:

    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. Shang, Yilun, 2022. "Sombor index and degree-related properties of simplicial networks," Applied Mathematics and Computation, Elsevier, vol. 419(C).

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