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Sparse random graphs: Eigenvalues and eigenvectors

Sparse random graphs: Eigenvalues and eigenvectors

Abstract In this paper, we prove the semiā€circular law for the eigenvalues of regular random graph G n , d in the case d ā†’ āˆž , complementing a previous result of McKay for fixed d . We also obtain a upper bound on the infinity norm of eigenvectors of ā€¦