On Extremal Sombor Indices of Chemical Graphs, and Beyond

被引：8

作者：

Liu, Hechao ^{[1
]}

You, Lihua ^{[1
]}

Huang, Yufei ^{[2
]}

Tang, Zikai ^{[3
]}

机构：

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

[2] Guangzhou Civil Aviat Coll, Dept Math Teaching, Guangzhou 510403, Peoples R China

[3] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Peoples R China

来源：

MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY | 2023年 / 89卷 / 02期

基金：

中国国家自然科学基金;

关键词：

ADJACENT VERTEX DEGREES; TOPOLOGICAL INDEXES; TREES;

D O I：

10.46793/match.89-2.415L

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

For a (chemical) graph G with vertex set V-G and edge set E-G, the Sombor index is defined as SO(G) = Sigma(uv is an element of EG) root d(2)(u) + d(2)(v), where d(u) denotes the degree of vertex u in G. In this paper, we determine the second and third minimum (resp. maximum) Sombor index of catacondensed hexagonal systems and phenylenes, the second minimum Sombor index of cata-catacondensed fluoranthene-type benzenoid systems. We also determine the minimum (resp. maximum) Sombor index of caterpillar trees with given degree sequence. At last, the first three maximum and the minimum Sombor index of star-like trees are determined.

引用

页码：415 / 436

页数：22

共 27 条

[21] Chemical applicability of Sombor indices [J].

Redzepovic, Izudin .

JOURNAL OF THE SERBIAN CHEMICAL SOCIETY, 2021, 86 (05) :445-457

[22] On Sombor index of trees with fixed domination number [J].

Sun, Xiaoling ;

Du, Jianwei .

APPLIED MATHEMATICS AND COMPUTATION, 2022, 421

[23] Functions on adjacent vertex degrees of trees with given degree sequence [J].

Wang, Hua .

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (11) :1656-1663

[24]

Wang L, 2011, GEOMETRIC ARITHMETIC

[25]

Zhang GJ, 2018, MATCH-COMMUN MATH CO, V80, P129

[26]

Zhang XM, 2017, MATCH-COMMUN MATH CO, V78, P307

[27] The general connectivity indices of catacondensed hexagonal systems [J].

Zheng, Jie .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2010, 47 (03) :1112-1120

← 1 2 3 →