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Accurately and quickly calculating the weighted spectral distribution

Author

Listed:
  • Bo Jiao

    (Luoyang Electronic Equipment Test Center)

  • Yuan-ping Nie

    (National University of Defense Technology)

  • Jian-mai Shi

    (National University of Defense Technology)

  • Gang Lu

    (Luoyang Electronic Equipment Test Center)

  • Ying Zhou

    (Luoyang Electronic Equipment Test Center)

  • Jing Du

    (Luoyang Electronic Equipment Test Center)

Abstract

The weighted spectral distribution (WSD) is a measure defined on the normalized Laplacian spectrum. It can be used for comparing complex networks with different sizes (number of nodes) and provides a sensitive discrimination of the structural robustness of complex networks. In this paper, we design an algorithm for the accurate calculation of the WSD in large-scale complex networks by utilizing characteristics of the graph structure. As an extension to Sylvester’s Law of Inertia for the calculation of the WSD based on spectral characteristics, our algorithm exhibits a higher time efficiency when applied to large-scale complex networks.

Suggested Citation

  • Bo Jiao & Yuan-ping Nie & Jian-mai Shi & Gang Lu & Ying Zhou & Jing Du, 2016. "Accurately and quickly calculating the weighted spectral distribution," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 62(1), pages 231-243, May.
    • Handle: RePEc:spr:telsys:v:62:y:2016:i:1:d:10.1007_s11235-015-0077-7
    DOI: 10.1007/s11235-015-0077-7
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    References listed on IDEAS

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    1. J. Wu & M. Barahona & Y.-J. Tan & H.-Z. Deng, 2011. "Robustness of regular ring lattices based on natural connectivity," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1085-1092.
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