The Laplacian spectra of small-world networks

Fumito Mori, Takashi Odagaki

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)


    Spectral properties of the Laplacian operator are studied numerically on the Watts-Strogatz-type small-world networks. The spectra on small-world networks are shown to have the characteristics that (i) the gap between the lowest frequency mode (Goldstone mode) and the second lowest frequency mode is small in contrast to that of random networks and (ii) the average participation ratio is as small as that of random networks. We also find that the highest frequency is essentially determined by the largest coordination degree.

    Original languageEnglish
    Pages (from-to)3294-3298
    Number of pages5
    Journaljournal of the physical society of japan
    Issue number12
    Publication statusPublished - Dec 1 2004

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)


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