Energy of Nonsingular Graphs: Improving Lower Bounds

被引：1

作者：

Shooshtari, Hajar ^{[1
]}

Rodriguez, Jonnathan ^{[2
]}

Jahanbani, Akbar ^{[1
]}

Shokri, Abbas ^{[3
]}

机构：

[1] Azarbaijan Shahid Madani Univ Tabriz, Dept Math, Tabriz, Iran

[2] Univ Antofagasta, Fac Ciencias Basicas, Dept Matemat, Av Angamos 601, Antofagasta, Chile

[3] Azarbaijan Shahid Madani Univ Tabriz, Dept Phys, Tabriz, Iran

来源：

JOURNAL OF MATHEMATICS | 2021年 / 2021卷

关键词：

SPECTRAL-RADIUS; LATENT ROOTS; ELECTRON; MATRIX;

D O I：

10.1155/2021/4064508

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a simple graph of order n and A be its adjacency matrix. Let lambda(1) >= lambda(2) >= ... >= lambda(n) be eigenvalues of matrix A. Then, the energy of a graph G is defined as epsilon(G) = Sigma(n)(i=1) vertical bar lambda(i)vertical bar. In this paper, we will discuss the new lower bounds for the energy of nonsingular graphs in terms of degree sequence, 2-sequence, the first Zagreb index, and chromatic number. Moreover, we improve some previous well-known bounds for connected nonsingular graphs.

引用

页数：5

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