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  Error-resistant implementation of DNA computations (1996) [27 citations — 5 self]

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by Martyn Amos, Alan Gibbons, David Hodgson
In Second Annual Meeting on DNA Based Computers
ftp://ftp.dcs.warwick.ac.uk/pub/reports/rr/298/all.ps.gz
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Abstract:

This paper introduces a new model of computation that employs the tools of molecular biology whose in vitro implementation is far more error-resistant than extant proposals. We describe an abstraction of the model which lends itself to natural algorithmic description, particularly for problems in the complexity class NP. In addition we describe a number of linear-time algorithms within our model, particularly for NP-complete problems. We describe an in vitro realisation of the model and conclude with a discussion of future work. 1

Citations

7716 Computers and Intractability: A Guide to the Theory of NP-Completeness – Garey, Johnson - 1979
415 Molecular computation of solutions of combinatorial problems – Adleman
176 Algorithmic Graph Theory – Gibbons - 1989
166 Efficient parallel algorithms – Gibbons - 1988
86 DNA Solution of hard computational problems – Lipton - 1995
58 A DNA and Restriction Enzyme Implementation of Turing Machines – Rothemund - 1996
41 Parallel molecular computation: Models and simulations – Reif - 1995
41 The Art and Theory of Dynamic Programming – Dreyfus, Law - 1977
34 There’s Plenty of Room at the Bottom – Feynman - 1960
31 Running dynamic programming algorithms on a DNA computer – Baum, Boneh - 1996
28 On the Weight of Computations – Hartmanis - 1995
28 Dynamic Programming: Models and Applications – Denardo - 1982
24 DNA computers in vitro and vivo – Smith, Schweitzer - 1995
17 On the path to computation with DNA – Gifford - 1994
15 Molecular computation: Adleman's experiment repeated – Kaplan, Cecchi, et al. - 1995
11 Genetics: a molecular approach – Brown - 1992
9 Orli Waarts. Error-resilient dna computation – Karp, Kenyon - 1996
7 The unusual origin of the polymerase chain reaction – Mullis - 1990
6 A boom in plans for DNA computing – Pool - 1995
2 Genetic Engineering. fiios Scientific – Williams, Ceccarelli, et al. - 1993