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RSA
2010
107views more  RSA 2010»
13 years 9 months ago
Continuum limits for classical sequential growth models
A random graph order, also known as a transitive percolation process, is defined by taking a random graph on the vertex set {0, . . . , n − 1}, and putting i below j if there i...
Graham Brightwell, Nicholas Georgiou
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
13 years 10 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...
CORR
2011
Springer
144views Education» more  CORR 2011»
13 years 2 months ago
Analyzing Walksat on random formulas
Let Φ be a uniformly distributed random k-SAT formula with n variables and m clauses. We prove that the Walksat algorithm from [16, 17] finds a satisfying assignment of Φ in pol...
Amin Coja-Oghlan, Alan M. Frieze
CORR
2010
Springer
181views Education» more  CORR 2010»
13 years 10 months ago
Sparse Recovery with Orthogonal Matching Pursuit under RIP
This paper presents a new analysis for the orthogonal matching pursuit (OMP) algorithm. It is shown that if the restricted isometry property (RIP) is satisfied at sparsity level O...
Tong Zhang
ICALP
2005
Springer
14 years 4 months ago
Randomized Fast Design of Short DNA Words
We consider the problem of efficiently designing sets (codes) of equal-length DNA strings (words) that satisfy certain combinatorial constraints. This problem has numerous motivati...
Ming-Yang Kao, Manan Sanghi, Robert T. Schweller