AN INCOMPARABLE UPPER BOUND FOR THE LARGEST LAPLACIAN GRAPH EIGENVALUE

被引：0
作者：
Sorgun, Sezer [1 ]
机构：
[1] Nevsehir Haci Bektas Veli Univ, Fac Arts & Sci, Dept Math, TR-50300 Nevsehir, Turkey
来源：
ARS COMBINATORIA | 2017年 / 133卷
关键词：
Graph; Laplacian matrix; Upper bound; Largest eigenvalue;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain the following upper bounds for the largest Laplacian graph eigenvalue: mu(1) <= max(i) {root 2d(i) (m(i) + d(i)) + n - 2d(i) - 2 Sigma(j :j similar to i) vertical bar N-i boolean AND N-j vertical bar} where d(i), and m(i) are the degree of vertex i and the average degree of vertex i, respectively; vertical bar N-i boolean AND N-j vertical bar is the number of common neighbors of i and j vertices. We also compare this bound with the some known upper bounds.
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页码：197 / 204
页数：8
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