Strict lower bounds on the multiplicative Zagreb indices of graph operations

被引：0

作者：

Nezhad, F. Falahati ^{[1
]}

Iranmanesh, A. ^{[2
]}

Tehranian, A. ^{[1
]}

Azari, M. ^{[3
]}

机构：

[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran

[2] Tarbiat Modares Univ, Dept Math, Tehran, Iran

[3] Islamic Azad Univ, Kazerun Branch, Dept Math, Kazerun, Iran

来源：

ARS COMBINATORIA | 2014年 / 117卷

关键词：

Degree; Lower bound; Multiplicative Zagreb indices; Multiplicative sum Zagreb index; Graph operations; MOLECULAR DESCRIPTORS; TREES; SUM; 1ST; NUMBER;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The first and second multiplicative Zagreb indices of a simple graph G are defined as: Pi(1)(G) = Pi(u is an element of v(G)) d(G)(u)(2) and Pi(2)(G) = Pi(uv is an element of E(G)) d(G)(U)d(G)(V), where d(G)(u) denotes the degree of the vertex u of G. In this paper, we present some strict lower bounds on the first and second multiplicative Zagreb indices of several graph operations in terms of the first and second multiplicative Zagreb indices and multiplicative sum Zagreb index of their components.

引用

页码：399 / 409

页数：11

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