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Combinatorial Optimization Problems in Self-Assembly (2002)  (Make Corrections)  (7 citations)
Leonard Adleman, Qi Cheng, Ashish Goel, Ming-Deh Huang, David Kempe



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Abstract: Self-assembly is the ubiquitous process by which simple objects autonomously assemble into intricate complexes. It has been suggested that intricate self-assembly processes will ultimately be used in circuit fabrication, nano-robotics, DNA computation, and amorphous computing. In this paper, we study two combinatorial optimization problems related to efficient self-assembly of shapes in the Tile Assembly Model of self-assembly proposed by Rothemund and Winfree [18]. The first is the Minimum... (Update)

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BibTeX entry:   (Update)

L. Adleman, Q. Cheng, A. Goel, M.-D. Huang, D. Kempe, P. Moisset de Espans, and P. Rothemund. Combinatorial optimization problems in self-assembly. In Proceedings of the thiry-fourth annual ACM symposium on Theory of computing, pages 23--32. ACM Press, 2002. http://citeseer.ist.psu.edu/adleman02combinatorial.html   More

@misc{ adleman-combinatorial,
  author = "Leonard Adleman and Qi Cheng and Ashish Goel and Ming-Deh Huang and David
    Kempe",
  title = "Combinatorial Optimization Problems in Self-Assembly",
  url = "citeseer.ist.psu.edu/adleman02combinatorial.html" }
Citations (may not include all citations):
53   A Polynomial Algorithm in Linear Programming (context) - Khachian - 1979
32   Universal Computation via Self-assembly of DNA: Some Theory .. - Winfree, Yang et al. - 1996
31   Design and self-assembly of two-dimensional DNA crystals (context) - Winfree, Liu et al. - 1998
17   Proving theorems by pattern recognition (context) - Wang - 1961
15   The program-size complexity of self-assembled squares (context) - Rothemund, Winfree - 2001
12   Logical computation using algorithmic self-assembly of DNA t.. (context) - Mao, LaBean et al. - 2000
12   Molecular self-assembly and nanochemistry: a chemical strate.. (context) - Whitesides, Mathias et al. - 1991
11   Personal communication (context) - Cook, Kempe et al.
11   Computational complexity of loss networks - Louth, Mitzenmacher et al. - 1994
10   California Institute of Technology (context) - Winfree, of et al. - 1998
9   Towards a mathematical theory of self-assembly (context) - Adleman - 2000
7   Running time and program size for self-assembled squares - Adleman, Cheng et al. - 2001
7   Using lateral capillary forces to compute by self-assembly (context) - Rothemund - 2000
6   DNA Self-Assembly for Satisfiability (context) - Lagoudakis, LaBean - 1999
6   Theory and Experiments in Algorithmic Self-Assembly Universi.. (context) - Rothemund - 2001

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