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» The Tile Complexity of Linear Assemblies
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TCS
2008
13 years 5 months ago
Nondeterministic polynomial time factoring in the tile assembly model
Formalized study of self-assembly has led to the definition of the tile assembly model, Previously I presented ways to compute arithmetic functions, such as addition and multiplic...
Yuriy Brun
DNA
2003
Springer
122views Bioinformatics» more  DNA 2003»
13 years 11 months ago
Self-Assembled Circuit Patterns
Abstract. Self-assembly is a process in which basic units aggregate under attractive forces to form larger compound structures. Recent theoretical work has shown that pseudo-crysta...
Matthew Cook, Paul W. K. Rothemund, Erik Winfree
UC
2005
Springer
13 years 11 months ago
A Computational Model for Self-assembling Flexible Tiles
We present a theoretical model for self-assembling tiles with flexible branches motivated by DNA branched junction molecules. We encode an instance of a “problem” as a pot of ...
Natasa Jonoska, Gregory L. McColm
DNA
2005
Springer
134views Bioinformatics» more  DNA 2005»
13 years 11 months ago
Complexity of Compact Proofreading for Self-assembled Patterns
Abstract. Fault-tolerance is a critical issue for biochemical computation. Recent theoretical work on algorithmic self-assembly has shown that error correcting tile sets are possib...
David Soloveichik, Erik Winfree
CORR
2010
Springer
66views Education» more  CORR 2010»
13 years 5 months ago
Polyominoes Simulating Arbitrary-Neighborhood Zippers and Tilings
This paper provides a bridge between the classical tiling theory and cellular automata on one side, and the complex neighborhood self-assembling situations that exist in practice,...
Lila Kari, Benoît Masson