Spectral properties of the Apollonian network

被引：27

作者：

Andrade, RFS ^{[1
]}

Miranda, JGV ^{[1
]}

机构：

[1] Univ Fed Bahia, Inst Fis, BR-40130240 Salvador, BA, Brazil

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2005年 / 356卷 / 01期

关键词：

complex networks; eigenvalue spectrum; Apollonian network;

D O I：

10.1016/j.physa.2005.05.003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A first characterization of the spectral properties of the Apollonian network is presented. Results are based on the numerically evaluated eigenvalue spectra of adjacency matrices for the first nine generations of the network. The main features refer to the presence of several gaps on the eigenvalue axis and a very large number of degenerated eigenvalues. The increase in the degeneracy of a family of eigenvalues is found to obey a very simple empirical relation. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：1 / 5

页数：5

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