Spectrally indistinguishable pseudorandom graphs
Abstract
We construct explicit families of graphs whose eigenvalues are asymptotically distributed according to Wigner's semicircle law; in other words, that are spectrally indistinguishable from random graphs. However, in other respects they are strikingly dissimilar from random graphs; for example, they are K2,3-free graphs with almost the maximum possible edge density.
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