Sparse random graphs: Eigenvalues and eigenvectors

نویسندگان

  • Linh V. Tran
  • Van H. Vu
  • Ke Wang
چکیده

In this paper we prove the semi-circular law for the eigenvalues of regular random graph Gn,d in the case d→∞, complementing a previous result of McKay for fixed d. We also obtain a upper bound on the infinity norm of eigenvectors of Erdős-Rényi random graph G(n, p), answering a question raised by Dekel-Lee-Linial.

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عنوان ژورنال:
  • Random Struct. Algorithms

دوره 42  شماره 

صفحات  -

تاریخ انتشار 2013