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CPC
2007
76views more  CPC 2007»
15 years 3 months ago
A Point Process Describing the Component Sizes in the Critical Window of the Random Graph Evolution
We study a point process describing the asymptotic behavior of sizes of the largest components of the random graph G(n, p) in the critical window, that is, for p = n−1 + λn−4/...
Svante Janson, Joel Spencer
COMBINATORICA
2008
123views more  COMBINATORICA 2008»
15 years 2 months ago
Counting canonical partitions in the random graph
Algorithms are given for computing the number of n-element diagonal sets and the number of n-element strongly diagonal sets of binary sequences of length at most 2n - 2. The first...
Jean A. Larson
RSA
2010
94views more  RSA 2010»
15 years 2 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
126
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SIGECOM
2006
ACM
143views ECommerce» more  SIGECOM 2006»
15 years 9 months ago
Braess's paradox in large random graphs
Braess’s Paradox is the counterintuitive but well-known fact that removing edges from a network with “selfish routing” can decrease the latency incurred by traffic in an eq...
Gregory Valiant, Tim Roughgarden
CORR
2004
Springer
104views Education» more  CORR 2004»
15 years 3 months ago
Ramanujan Graphs and the Random Reducibility of Discrete Log on Isogenous Elliptic Curves
Cryptographic applications using an elliptic curve over a finite field filter curves for suitability using their order as the primary criterion: e.g. checking that their order has...
David Jao, Stephen D. Miller, Ramarathnam Venkates...