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Several Topological Indices of Random Caterpillars

Author

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  • Panpan Zhang

    (University of Pennsylvania)

  • Xiaojing Wang

    (University of Connecticut)

Abstract

In chemical graph theory, caterpillar trees have been an appealing model to represent the molecular structures of benzenoid hydrocarbon. Meanwhile, topological index has been thought of as a powerful tool for modeling quantitative structure-property relationship and quantitative structure-activity between molecules in chemical compounds. In this article, we consider a class of caterpillar trees that are incorporated with randomness, called random caterpillars, and investigate several popular topological indices of this random class, including Zagreb index, Randić index and Wiener index, etc. Especially, a central limit theorem is developed for the asymptotic distribution of the Zagreb index of random caterpillars.

Suggested Citation

  • Panpan Zhang & Xiaojing Wang, 2022. "Several Topological Indices of Random Caterpillars," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1773-1789, September.
    • Handle: RePEc:spr:metcap:v:24:y:2022:i:3:d:10.1007_s11009-021-09895-1
    DOI: 10.1007/s11009-021-09895-1
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    Cited by:

    1. Panpan Zhang, 2023. "On Several Properties of A Class of Hybrid Recursive Trees," Methodology and Computing in Applied Probability, Springer, vol. 25(1), pages 1-20, March.

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