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» The metamathematics of random graphs
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STOC
2003
ACM
109views Algorithms» more  STOC 2003»
15 years 10 months ago
Generating random regular graphs
Random regular graphs play a central role in combinatorics and theoretical computer science. In this paper, we analyze a simple algorithm introduced by Steger and Wormald [10] and...
Jeong Han Kim, Van H. Vu
FOCS
2007
IEEE
15 years 4 months ago
Reconstruction for Models on Random Graphs
Consider a collection of random variables attached to the vertices of a graph. The reconstruction problem requires to estimate one of them given ‘far away’ observations. Sever...
Antoine Gerschenfeld, Andrea Montanari
APPROX
2007
Springer
100views Algorithms» more  APPROX 2007»
15 years 4 months ago
Implementing Huge Sparse Random Graphs
Consider a scenario where one desires to simulate the execution of some graph algorithm on random input graphs of huge, perhaps even exponential size. Sampling and storing these h...
Moni Naor, Asaf Nussboim
RSA
2002
71views more  RSA 2002»
14 years 9 months ago
The infamous upper tail
Let be a finite index set and k 1 a given integer. Let further S []k be an arbitrary family of k element subsets of . Consider a (binomial) random subset p of , where p = (pi :...
Svante Janson, Andrzej Rucinski
RSA
2008
89views more  RSA 2008»
14 years 9 months ago
Simple permutations mix even better
We study the random composition of a small family of O(n3 ) simple permutations on {0, 1}n . Specifically we ask how many randomly selected simple permutations need be composed to...
Alex Brodsky, Shlomo Hoory