Spectra and eigenvectors of scale-free networks

K. I. Goh; B. Kahng; D. Kim

doi:10.1103/PhysRevE.64.051903

Spectra and eigenvectors of scale-free networks

K. I. Goh^*
, B. Kahng
, D. Kim

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

189 Citations (Scopus)

Abstract

The spectrum and the corresponding eigenvectors of the adjacentry matrix of the BA network were studied. It was found that the density of the eigenvalues decays exponentially for small |λ|, followed by power-law tails at both spectrum edges.

Original language	English
Pages (from-to)	051903-1/051903/5
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	64
Issue number	5 I
DOIs	https://doi.org/10.1103/PhysRevE.64.051903
Publication status	Published - 2001 Nov
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Access to Document

10.1103/PhysRevE.64.051903

Cite this

@article{f4a3217332d140bb9f40021c863f9936,

title = "Spectra and eigenvectors of scale-free networks",

abstract = "The spectrum and the corresponding eigenvectors of the adjacentry matrix of the BA network were studied. It was found that the density of the eigenvalues decays exponentially for small |λ|, followed by power-law tails at both spectrum edges.",

author = "Goh, \{K. I.\} and B. Kahng and D. Kim",

year = "2001",

month = nov,

doi = "10.1103/PhysRevE.64.051903",

language = "English",

volume = "64",

pages = "051903--1/051903/5",

journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",

issn = "1539-3755",

publisher = "American Physical Society",

number = "5 I",

}

TY - JOUR

T1 - Spectra and eigenvectors of scale-free networks

AU - Goh, K. I.

AU - Kahng, B.

AU - Kim, D.

PY - 2001/11

Y1 - 2001/11

N2 - The spectrum and the corresponding eigenvectors of the adjacentry matrix of the BA network were studied. It was found that the density of the eigenvalues decays exponentially for small |λ|, followed by power-law tails at both spectrum edges.

AB - The spectrum and the corresponding eigenvectors of the adjacentry matrix of the BA network were studied. It was found that the density of the eigenvalues decays exponentially for small |λ|, followed by power-law tails at both spectrum edges.

UR - https://www.scopus.com/pages/publications/4043141148

U2 - 10.1103/PhysRevE.64.051903

DO - 10.1103/PhysRevE.64.051903

M3 - Article

C2 - 11735964

AN - SCOPUS:4043141148

SN - 1539-3755

VL - 64

SP - 051903-1/051903/5

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 5 I

ER -

Spectra and eigenvectors of scale-free networks

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this