Eigenvalue spacings for regular graphs

Details Eigenvalue spacings for regular graphs Eigenvalue spacings for regular graphs

2003-09-30

arxiv.org/abs/hep-th/0310002v1

Physics

High Energy Physics

High Energy Physics - Theory

Appeared in IMA vol. 109 (Emerging applications of number theory, Minneapolis, MN 1996)

Scientific paper

We carry out a numerical study of fluctuations in the spectrum of regular
graphs. Our experiments indicate that the level spacing distribution of a
generic k-regular graph approaches that of the Gaussian Orthogonal Ensemble of
random matrix theory as we increase the number of vertices. A review of the
basic facts on graphs and their spectra is included.

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