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Volumn 387, Issue 2-3, 2008, Pages 667-674

Random matrix analysis of network Laplacians

Author keywords

Graph Laplacian; Network; Random matrix theory

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; GRAPH THEORY; MATRIX ALGEBRA; RANDOM PROCESSES;

EID: 36448930954     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.09.026     Document Type: Article
Times cited : (33)

References (44)
  • 16
    • 36448996826 scopus 로고    scopus 로고
    • note
    • A are the eigenvalues spectra of L and A respectively. For this case, L and A are linearly related, and therefore the statistical properties of their spectra would be same. If the degree of nodes are not same, as usually happens in complex networks, then relation between the eigenvalues of L and A is not known.
  • 17
    • 7044226636 scopus 로고    scopus 로고
    • Gross J.L., and Yellen J. (Eds), Chapman & Hall/CRC
    • Doob M. In: Gross J.L., and Yellen J. (Eds). Handbook of Graph Theory (2004), Chapman & Hall/CRC
    • (2004) Handbook of Graph Theory
    • Doob, M.1
  • 29
    • 36448955174 scopus 로고    scopus 로고
    • Berkolaiko B., et al. (Ed), AMS, Providence, RI
    • Chung F., and Richardson R.M. In: Berkolaiko B., et al. (Ed). Quantum Graphs and their Applications. Contemporary Math. (2006), AMS, Providence, RI
    • (2006) Contemporary Math.
    • Chung, F.1    Richardson, R.M.2
  • 31
    • 36448997557 scopus 로고    scopus 로고
    • eprint:arXiv:cond-mat/0703055
    • Kim D., and Kahng B. eprint:arXiv:cond-mat/0703055
    • Kim, D.1    Kahng, B.2
  • 33
    • 36448989877 scopus 로고    scopus 로고
    • C. Demir, S.H. Gultekin, B. Yener, in: Proc. of 4th Conference on Modeling and Simulation in Biology, Medicine and Biomedical Engineering, Linkoping, Sweden, May 2005
  • 34
    • 36448981569 scopus 로고    scopus 로고
    • J. Huang, MPI-KYB Technical Report No. 144. Available at: http://www.cs.uwaterloo.ca/~j9huang/Research/comview.pdf
  • 41
    • 36448984513 scopus 로고    scopus 로고
    • note
    • i, where N is the number of disconnected components. In this case, even if the NNSD of the individual components follows GOE, but in general the NNSD of L does not follow GOE property.
  • 44
    • 36448936555 scopus 로고    scopus 로고
    • S. Jalan, J.N. Bandyopadhyay, M.S. Santhanam, (in preparation)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.