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<p>The definition of the recently introduced <i>hitting time</i> index suggests its close relation with the Kirchhoff index. Here, this relation is computationally investigated for trees and molecular trees. Additionally, the usability of these molecular descriptors as tools for modeling physicochemical properties of alkanes is compared. The second part of the paper is reserved for closed formulas of the hitting time index for bi-stars and the broom graphs. Finally, the upper and lower bounds, in terms of the maximum degree, the hyper-Wiener index, the Wiener index, and the Harary index for the hitting time index of trees are derived.</p>

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Hitting time index of trees

  • 期刊论文

  • 发表日期：

    2025年12月29日

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  • Mengya He,
  • Yaping Mao,
  • Boris Furtula,
  • Xiaoyan Zhang

摘要

The definition of the recently introduced hitting time index suggests its close relation with the Kirchhoff index. Here, this relation is computationally investigated for trees and molecular trees. Additionally, the usability of these molecular descriptors as tools for modeling physicochemical properties of alkanes is compared. The second part of the paper is reserved for closed formulas of the hitting time index for bi-stars and the broom graphs. Finally, the upper and lower bounds, in terms of the maximum degree, the hyper-Wiener index, the Wiener index, and the Harary index for the hitting time index of trees are derived.