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FOCS
2009
IEEE
15 years 11 months ago
Randomized Self-Assembly for Exact Shapes
— Working in Winfree’s abstract tile assembly model, we show that a constant-size tile assembly system can be programmed through relative tile concentrations to build an n × n...
David Doty
ACSC
2005
IEEE
15 years 9 months ago
Large k-Separated Matchings of Random Regular Graphs
A k-separated matching in a graph is a set of edges at distance at least k from one another (hence, for instance, a 1-separated matching is just a matching in the classical sense)...
Mihalis Beis, William Duckworth, Michele Zito
FOCS
2003
IEEE
15 years 9 months ago
A Non-Markovian Coupling for Randomly Sampling Colorings
We study a simple Markov chain, known as the Glauber dynamics, for randomly sampling (proper) k-colorings of an input graph G on n vertices with maximum degree ∆ and girth g. We...
Thomas P. Hayes, Eric Vigoda
CIE
2010
Springer
15 years 9 months ago
Ergodic-Type Characterizations of Algorithmic Randomness
A useful theorem of Kuˇcera states that given a Martin-L¨of random infinite binary sequence ω and an effectively open set A of measure less than 1, some tail of ω is not in A...
Laurent Bienvenu, Adam R. Day, Ilya Mezhirov, Alex...
IPPS
1998
IEEE
15 years 8 months ago
Implementing Parallelism in Random Discrete Event-Driven Simulation
Abstract. The inherently sequential nature of random discrete eventdriven simulation has made parallel and distributed processing di cult. This paper presents a method of applying ...
Marc Bumble, Lee D. Coraor