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最小顶点覆盖问题的改进粘贴模型

董亚非 张家秀 殷志祥 许进

董亚非, 张家秀, 殷志祥, 许进. 最小顶点覆盖问题的改进粘贴模型[J]. 电子与信息学报, 2005, 27(4): 556-560.
引用本文: 董亚非, 张家秀, 殷志祥, 许进. 最小顶点覆盖问题的改进粘贴模型[J]. 电子与信息学报, 2005, 27(4): 556-560.
Dong Ya-fei, Zhang Jia-xiu, Yin Zhi-xiang, Xu Jin . An Improved Sticker Model of the Minimal Covering Problem[J]. Journal of Electronics & Information Technology, 2005, 27(4): 556-560.
Citation: Dong Ya-fei, Zhang Jia-xiu, Yin Zhi-xiang, Xu Jin . An Improved Sticker Model of the Minimal Covering Problem[J]. Journal of Electronics & Information Technology, 2005, 27(4): 556-560.

最小顶点覆盖问题的改进粘贴模型

An Improved Sticker Model of the Minimal Covering Problem

  • 摘要: DNA计算是一种模拟生物分子DNA的结构并借助于分子生物技术进行计算的新方法。它开创了以化学反应作为计算工具的先例,具有广阔的应用前景。本文简单回顾了DNA计算的发展,并简要介绍了分子计算的一种模型粘贴模型。最后我们利用粘贴模型的基本原理,运用荧光标记技术,提出了最小顶点覆盖问题的表面技术解决方案。
  • Adleman L, Molecular computation of solutions to combinatorial problems. Science, 1994, 266(11): 1021 - 1024.[2]Lipton R. DNA solution of hard computation problems[J].Science.1995, 268 (4):542-[3]Faulhammer D, Cukras A R, Lipton R J, et al.. Molecular computation: RNA solution to chess problem. Biochemsty, 2000,97: 1385- 1389[4]Adleman L. On constructing a molecular computer. Technical Report TR. 79-387, Computer Science Department, University of Southern California, USA, January, 1995.Lipton R. Using DNA to solve SAT, 1995.http:∥www. cs.princeton.edu/rj 1/bio.ps, December 1994.Boneh D, Dunworth C, Lipton R, et al.. On the computational power of DNA, Technical Report TR-499-95, Princeton University, USA, October 1995.[5]Braich R S, Chelyapov N, Johnson C, et al.. Solution of a 20-variable 3-SAT problem on a DNA computer[J].Science.2002,296(19):499-[6]Head T, Rozenberg G, Bladergroen R B, et al.. Computing with DNA by operating on plasmids[J].BioSystems.2000, 57:87-[7]Dirk F, Cukras A R, Lipton R J, et al.. Molecular computation:RNA solutions to chess problem. Biochemsty, 2000, 97:1385- 1389.[8]Liu Q H, Wang L M, Frutos A G , et al.. DNA computing on surfaces[J].Nature.2000, 403(13):175-[9]Head T. Formal language theory and DNA: An analysis of the generative capacity of specific recombinant behaviors, Bull. Math.Biology, 1987, 49:737 - 759.[10]Kari L. DNA computing: arrival of biological mathematics. Math.Intelligencer, 1997, 19(2): 9 - 22.[11]Praun G, Rozenberg G, Salomaa A. DNA Computing-New Computing Paradigms. Berlin: Springer, 1998:32 - 63.[12]Roweis S, Winfree E, Burgoyne R, et al.. A sticker based archtecture for DNA computation, in: Baum E B et al.(Eds), DNA Based Computers, Proc. 2nd Annual Meeting, Princeton, 1999:1 - 27.[13]Paun G, Rozenberg G. Sticker systems[J].Theoretical Computer Science.1998, 204:183-[14]Gao L, Xu J, DNA Solution of Vertex Cover Problem Based on Sticker Model. Chinese Journal of Electronics, 2002, 11(2):280 - 284.[15]Zimmermann K H. Efficient DNA sticker algorithms for NP-complete graph problems[J].Computer Physics Communications.2002, 144:297-[16]Benenson Y, Tamar P E, Rivka A, et al.. Programmable and autonomous computing machine made of biomolecules, Nature,2001, (414): 430 - 434.[17]Ouyang Q, et al.. DNA solution of the maximal clique problem,Science, 1997, 278(17): 446 - 449.[18]Dong Ya-fei, Wang Shu-dong, Yin Zhi-xiang, et al.. DNA solution of the minimal covering problem. Advances in Systems Science and Applications, 2003, 3(2): 152 - 156.
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出版历程
  • 收稿日期:  2003-12-04
  • 修回日期:  2004-04-05
  • 刊出日期:  2005-04-19

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