On the least distance eigenvalue of a graph

On the least distance eigenvalue of a graph
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DOI:
10.1016/j.laa.2013.06.029
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发表时间:
2013-10
影响因子:
1.1
通讯作者:
Guanglong Yu
Guanglong Yu
中科院分区:
数学3区
文献类型:
--
作者:
Guanglong Yu

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设n阶连通图G的距离矩阵为D(G)=(di,j)n× n,其中di j等于G中顶点vi与vj之间的距离。D(G)的最小特征值称为G的最小距离特征值,记为λ n。本文确定了所有λ n∈[-2.383,0]的图。
Abstract Denote by D (G)=(d i, j) n× n the distance matrix of a connected graph G with n vertices, where d i j is equal to the distance between vertices v i and v j in G. The least eigenvalue of D (G) is called the least distance eigenvalue of G, denoted by λ n. In this paper, we determine all the graphs with λ n∈[− 2.383, 0].