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Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

✍ Scribed by László Erdős, Antti Knowles, Horng-Tzer Yau, Jun Yin


Book ID
118780868
Publisher
Springer
Year
2012
Tongue
English
Weight
601 KB
Volume
314
Category
Article
ISSN
0010-3616

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## Abstract The Erdős‐Rényi and Projective Norm graphs are algebraically defined graphs that have proved useful in supplying constructions in extremal graph theory and Ramsey theory. Their eigenvalues have been computed and this yields an upper bound on their independence number. Here we show that