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CORR
2004
Springer
83views Education» more  CORR 2004»
13 years 4 months ago
A proof of Alon's second eigenvalue conjecture and related problems
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. Consider for an even d 4, a random d-regular graph model formed from d/2 uniform, independent permutat...
Joel Friedman
STOC
2003
ACM
118views Algorithms» more  STOC 2003»
14 years 5 months ago
A proof of Alon's second eigenvalue conjecture
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. In this paper we show the following conjecture of Alon. Fix an integer d > 2 and a real > 0. Then...
Joel Friedman
RSA
2010
94views more  RSA 2010»
13 years 3 months ago
Word maps and spectra of random graph lifts
We study here the spectra of random lifts of graphs. Let G be a finite connected graph, and let the infinite tree T be its universal cover space. If λ1 and ρ are the spectral ...
Nati Linial, Doron Puder
TCC
2009
Springer
130views Cryptology» more  TCC 2009»
14 years 5 months ago
Adaptive Zero-Knowledge Proofs and Adaptively Secure Oblivious Transfer
In the setting of secure computation, a set of parties wish to securely compute some function of their inputs, in the presence of an adversary. The adversary in question may be st...
Yehuda Lindell, Hila Zarosim
STOC
2006
ACM
129views Algorithms» more  STOC 2006»
14 years 5 months ago
Optimal phylogenetic reconstruction
One of the major tasks of evolutionary biology is the reconstruction of phylogenetic trees from molecular data. The evolutionary model is given by a Markov chain on the true evolu...
Constantinos Daskalakis, Elchanan Mossel, Sé...