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On the least distance eigenvalue of a graph
Authors:Guanglong Yu
Institution:Department of Mathematics, Yancheng Teachers University, Yancheng, 224002, Jiangsu, PR China
Abstract:Denote by D(G)=(di,j)n×nD(G)=(di,j)n×n the distance matrix of a connected graph G with n   vertices, where dijdij is equal to the distance between vertices vivi and vjvj in G  . The least eigenvalue of D(G)D(G) is called the least distance eigenvalue of G  , denoted by λnλn. In this paper, we determine all the graphs with λn∈−2.383,0]λn2.383,0].
Keywords:05C50
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