On the lower bound for Laplacian resolvent energy through majorization

被引：0

作者：

Altindag, S. B. Bozkurt ^{[1
]}

Milovanovic, I. ^{[2
]}

Milovanovic, E. ^{[2
]}

机构：

[1] Selcuk Univ, Fac Sci, Dept Math, Konya, Turkiye

[2] Univ Nis, Fac Elect Engn, Nish, Serbia

来源：

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2025年 / 17卷 / 02期

关键词：

Graph; Laplacian eigenvalues; Laplacian resolvent energy; 1ST ZAGREB INDEX; INVERSE DEGREE; COINDEX; INEQUALITIES;

D O I：

10.1142/S179383092450023X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a simple connected graph G of order n with Laplacian eigenvalues mu(1 )>= mu(2 )>= & ctdot; >= mu(n-1 )> mu(n )= 0, the Laplacian resolvent energy of G is defined as RL(G) = & sum;(n)(i=1 )1/n+1-mu(i). In this paper, we provide an improved lower bound for RL(G) through majorization. Considering our lower bound, we also derive some lower bounds for RL(G) when the graph G possesses tree structure.

引用

页数：10

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