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CORR
2006
Springer
105views Education» more  CORR 2006»
13 years 4 months ago
Reducing Tile Complexity for Self-Assembly Through Temperature Programming
We consider the tile self-assembly model and how tile complexity can be eliminated by permitting the temperature of the self-assembly system to be adjusted throughout the assembly...
Ming-Yang Kao, Robert T. Schweller
DNA
2003
Springer
153views Bioinformatics» more  DNA 2003»
13 years 9 months ago
Proofreading Tile Sets: Error Correction for Algorithmic Self-Assembly
Abstract. For robust molecular implementation of tile-based algorithmic self-assembly, methods for reducing errors must be developed. Previous studies suggested that by control of ...
Erik Winfree, Renat Bekbolatov
STACS
2010
Springer
13 years 11 months ago
Intrinsic Universality in Self-Assembly
We show that the Tile Assembly Model exhibits a strong notion of universality where the goal is to give a single tile assembly system that simulates the behavior of any other tile...
David Doty, Jack H. Lutz, Matthew J. Patitz, Scott...
TCS
2011
12 years 11 months ago
Limitations of self-assembly at temperature 1
We prove that if a set X ⊆ Z2 weakly self-assembles at temperature 1 in a deterministic (Winfree) tile assembly system satisfying a natural condition known as pumpability, then ...
David Doty, Matthew J. Patitz, Scott M. Summers
STOC
2010
ACM
220views Algorithms» more  STOC 2010»
13 years 8 months ago
Combinatorial approach to the interpolation method and scaling limits in sparse random graphs
We establish the existence of free energy limits for several sparse random hypergraph models corresponding to certain combinatorial models on Erd¨os-R´enyi graph G(N, c/N) and r...
Mohsen Bayati, David Gamarnik, Prasad Tetali