Sharp Bounds for the General Sum-Connectivity Indices of Transformation Graphs

被引：6

作者：

Wang, Haiying ^{[1
]}

Liu, Jia-Bao ^{[2
]}

Wang, Shaohui ^{[3
]}

Gao, Wei ^{[4
]}

Akhter, Shehnaz ^{[5
]}

Imran, Muhammad ^{[5
,6
]}

Farahani, Mohammad R. ^{[7
]}

机构：

[1] China Univ Geosci Beijing, Sch Sci, Beijing 100083, Peoples R China

[2] Anhui Jianzhu Univ, Sch Math & Phys, Hefei 230601, Anhui, Peoples R China

[3] Savannah State Univ, Dept Math, Savannah, GA 31404 USA

[4] Yunnan Normal Univ, Sch Informat & Technol, Kunming 650500, Yunnan, Peoples R China

[5] NUST, Dept Math, SNS, Sect H 12, Islamabad, Pakistan

[6] United Arab Emirates Univ, Coll Sci, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates

[7] IUST, Dept Appl Math, Tehran 16844, Iran

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2017年 / 2017卷

关键词：

ZAGREB INDEXES;

D O I：

10.1155/2017/2941615

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a graph.., the general sum-connectivity index is defined as chi(alpha)(G) = Sigma(uv epsilon E(G))(d(G)(u) + d(G)(v)(alpha), where d(G)(u) (or d(G) (v)) denotes the degree of vertex u (or v) in the graph G and alpha is a real number. In this paper, we obtain the sharp bounds for general sum-connectivity indices of several graph transformations, including the semitotal-point graph, semitotal-line graph, total graph, and eight distinct transformation graphs G(uvw), where u, v, w is an element of {+, -}.

引用

页数：7

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