— 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...
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)...
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...
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...
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 ...