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CORR
2010
Springer
79views Education» more  CORR 2010»
13 years 4 months ago
Probabilistic cellular automata, invariant measures, and perfect sampling
In a probabilistic cellular automaton (PCA), the cells are updated synchronously and independently, according to a distribution depending on a finite neighborhood. A PCA can be vi...
Ana Busic, Jean Mairesse, Irene Marcovici
APPROX
2007
Springer
100views Algorithms» more  APPROX 2007»
14 years 1 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
APPROX
2009
Springer
195views Algorithms» more  APPROX 2009»
14 years 2 months ago
Approximating Node-Connectivity Augmentation Problems
The (undirected) Node Connectivity Augmentation (NCA) problem is: given a graph J = (V, EJ ) and connectivity requirements {r(u, v) : u, v ∈ V }, find a minimum size set I of n...
Zeev Nutov
STOC
2010
ACM
220views Algorithms» more  STOC 2010»
13 years 11 months ago
Combinatorial approach to the interpolation method and scaling limits in sparse random graphs
We establish the existence of free energy limits for several sparse random hypergraph models corresponding to certain combinatorial models on Erd¨os-R´enyi graph G(N, c/N) and r...
Mohsen Bayati, David Gamarnik, Prasad Tetali
SIAMCOMP
2010
94views more  SIAMCOMP 2010»
13 years 6 months ago
Local Monotonicity Reconstruction
We propose a general model of local property reconstruction. Suppose we have a function f on domain Γ, which is supposed to have a particular property P, but may not have the pro...
Michael E. Saks, C. Seshadhri