Bounds for the Sum-Balaban index and (revised) Szeged index of regular graphs

被引：11
作者：
Lei, Hui
Yang, Hua [1 ]
机构：
[1] Nankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 268卷
关键词：
Sum-Balaban index; The (revised) Szeged index; Regular graph; Fullerene graph; CONNECTIVE ECCENTRICITY INDEX; WIENER INDEX; TOPOLOGICAL INDEXES; UNICYCLIC GRAPHS; MATCHING ENERGY; KIRCHHOFF INDEX; HARARY INDEX; TREES; DISTANCE; CONJECTURE;
D O I：
10.1016/j.amc.2015.07.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Mathematical properties of many topological indices are investigated. Knor et al. gave an upper bound for the Balaban index of r-regular graphs on ii vertices and a better upper bound for fullerene graphs. They also suggested exploring similar bounds for other topological indices. In this paper, we consider the Sum-Balaban index and the (revised) Szeged index, and give upper and lower bounds for these three indices of r-regular graphs, and also the cubic graphs and fullerene graphs, respectively. (C) 2015 Elsevier Inc. All rights reserved.
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收藏
页码：1259 / 1266
页数：8
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