Maximizing and Minimizing Multiplicative Zagreb Indices of Graphs Subject to Given Number of Cut Edges

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成果类型：

期刊论文

作者：

Wang, Shaohui*;Wang, Chunxiang;Chen, Lin;Liu, Jia-Bao;Shao, Zehui

通讯作者：

Wang, Shaohui

作者机构：

[Wang, Shaohui] Savannah State Univ, Dept Math, Savannah, GA 31419 USA.

[Chen, Lin; Wang, Chunxiang] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.

[Chen, Lin; Wang, Chunxiang] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China.

[Liu, Jia-Bao] Anhui Jianzhu Univ, Sch Math & Phys, Hefei 230601, Anhui, Peoples R China.

[Shao, Zehui] Guangzhou Univ, Inst Comp Sci & Technol, Guangzhou 510006, Guangdong, Peoples R China.

通讯机构：

[Wang, Shaohui] S

Savannah State Univ, Dept Math, Savannah, GA 31419 USA.

语种：

英文

关键词：

Cut edge;Extremal values;Graph transformation;Multiplicative zagreb indices

期刊：

Mathematics

ISSN：

2227-7390

年：

2018

卷：

期：

DOI：

10.3390/math6110227

基金类别：

National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11771172, 11571134]; Anhui Province Key Laboratory of Intelligent Building & Building Energy Saving

机构署名：

本校为其他机构

院系归属：

数学与统计学学院

摘要：

Given a (molecular) graph, the first multiplicative Zagreb index Π 1 is considered to be the product of squares of the degree of its vertices, while the second multiplicative Zagreb index P2 is expressed as the product of endvertex degree of each edge over all edges. We consider a set of graphs G n,k having n vertices and k cut edges, and explore the graphs subject to a number of cut edges. In addition, the maximum and minimum multiplicative Zagreb indices of graphs in G n,k are provided. We also provide these graphs with the largest...

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Maximizing and Minimizing Multiplicative Zagreb Indices of Graphs Subject to Given Number of Cut Edges

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