11 citations · 11 across the 2 of their papers we have counts for
2 papers
cond-mat.stat-mech2005★ 11 cited
Rapid Mixing for Lattice Colorings with Fewer Colors
Dimitris Achlioptas, Michael Molloy, Cristopher Moore +1
We provide an optimally mixing Markov chain for 6-colorings of the square lattice on rectangular regions with free, fixed, or toroidal boundary conditions. This implies that the un…
cs.CC2003
The Threshold for Random k-SAT is 2^k ln2 - O(k)
Dimitris Achlioptas, Yuval Peres
Let F be a random k-SAT formula on n variables, formed by selecting uniformly and independently m = rn out of all possible k-clauses. It is well-known that if r>2^k ln 2, then the…