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Several Asymptotic Bounds on the Balaban Indices of Trees

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Listed:
  • Bo Deng
  • Chengfu Ye
  • Weilin Liang
  • Yalan Li
  • Xueli Su

Abstract

The Balaban index (also called the index) of a connected graph is a distance-based topological index, which has been successfully used in various QSAR and QSPR modeling. Although the index was introduced 30 years ago, there are few results on the asymptotic relations. In this paper, several asymptotic bounds on the Balaban indices of trees with diameters 3 and 4 are shown, respectively.

Suggested Citation

  • Bo Deng & Chengfu Ye & Weilin Liang & Yalan Li & Xueli Su, 2020. "Several Asymptotic Bounds on the Balaban Indices of Trees," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-6, November.
    • Handle: RePEc:hin:jnlmpe:2081241
    DOI: 10.1155/2020/2081241
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