Extremal quasi-unicyclic graphs with respect to the general multiplicative Zagreb indices
type: Item
instance of: scholarly article
title: Extremal quasi-unicyclic graphs with respect to the general multiplicative Zagreb indices
zbMATH Open document ID: 1504.05063
author: Jianwei Du
author: Xiaoling Sun
published in: Discrete Applied Mathematics
publication date: 2022-12-08T00:00:00Z
review text: The general multiplicative Zagreb indices are modified versions of the famous Zagreb indices, which are defined as \[ P^\alpha_1(G)=\prod_{u\in V(G)}d_G(u)^\alpha\] and \[P^\alpha_2(G)=\prod_{uv\in E(G)}(d_G(u)d_G(v))^\alpha, \] where they are respectively called the first and second general multiplicative Zagreb indices. In this paper, the authors study the minimum and maximum values of these two indices for quasi-unicyclic graphs with a given order, a fixed number of pendant vertices, and perfect matchings. As a result, they give the corresponding extremal quasi-unicyclic graphs.
Mathematics Subject Classification ID: 05C09
Mathematics Subject Classification ID: 05C92
Mathematics Subject Classification ID: 92E10
Mathematics Subject Classification ID: 05C07
zbMATH DE Number: 7628648
zbMATH Keywords: general multiplicative Zagreb indices
zbMATH Keywords: quasi-unicyclic graph
zbMATH Keywords: pendant vertex
zbMATH Keywords: perfect matching
reviewed by: Xueliang Li
MaRDI profile type: Publication
full work available at URL: j.dam.2022.10.019
OpenAlex ID: W4309029943
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DOI: 10.1016/J.DAM.2022.10.019
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description: scientific article; zbMATH DE number 7628648