Several Asymptotic Bounds on the Balaban Indices of Trees. (6th November 2020)

• Record Type: Journal Article
• Authors: Deng, Bo; Ye, Chengfu; Liang, Weilin; Li, Yalan; Su, Xueli
• Other Names: Liu Jia-Bao Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2020(2020)
• Publication Date: 2020-11-06
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2020/2081241
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The Balaban index (also called the J index) of a connected graph G 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.