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The expected values and variances for Sombor indices in a general random chain

Author

Listed:
  • Zhang, Weilin
  • You, Lihua
  • Liu, Hechao
  • Huang, Yufei

Abstract

This article is devoted to establish the distributions for Sombor indices in a general random chain, in which their explicit analytical expressions of the expected values and variances are obtained. As applications, these results for random hexagonal, random phenylene, random polyphenyl and random spiro chains are given. Finally, the distributions for the Sombor indices in these four random chains are asymptotic to normal distributions is shown.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:411:y:2021:i:c:s009630032100610x
    DOI: 10.1016/j.amc.2021.126521
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    References listed on IDEAS

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    1. 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).
    2. 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. Sun, Xiaoling & Du, Jianwei, 2022. "On Sombor index of trees with fixed domination number," Applied Mathematics and Computation, Elsevier, vol. 421(C).

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