메뉴 건너뛰기




Volumn 378, Issue 1, 2007, Pages 17-31

Arithmetic computation in the tile assembly model: Addition and multiplication

Author keywords

Adder; Crystal growth; Molecular computation; Multiplier; Self assembly; Tile assembly model

Indexed keywords

ADDERS; COMPUTATIONAL COMPLEXITY; CRYSTAL GROWTH; LINEAR SYSTEMS; MOLECULAR DYNAMICS; PARALLEL PROCESSING SYSTEMS; SELF ASSEMBLY;

EID: 34247880278     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2006.10.025     Document Type: Article
Times cited : (109)

References (23)
  • 2
    • 0036037515 scopus 로고    scopus 로고
    • Leonard Adleman, Qi Cheng, Ashish Goel, Ming-Deh Huang, David Kempe, Pablo Moisset de Espanes, Paul Rothermund, Combinatorial optimization problems in self-assembly, in: ACM Symposium on Theory of Computing, STOC02, Montreal, Quebec, Canada, 2002, pp. 23-32
  • 3
    • 0028114541 scopus 로고
    • Molecular computation of solutions to combinatorial problems
    • Adleman L. Molecular computation of solutions to combinatorial problems. Science 266 (1994) 1021-1024
    • (1994) Science , vol.266 , pp. 1021-1024
    • Adleman, L.1
  • 4
    • 34247860585 scopus 로고    scopus 로고
    • Leonard Adleman, Towards a mathematical theory of self-assembly, Technical Report 00-722, Department of Computer Science, University of Southern California, Los Angeles, CA, 2000
  • 5
    • 0034833023 scopus 로고    scopus 로고
    • Leonard Adleman, Ashish Goel, Ming-Deh Huang, Pablo Moisset de Espanes, Running time and program size for self-assembled squares, in: ACM Symposium on Theory of Computing, STOC02, Montreal, Quebec, Canada, 2001, pp. 740-748
  • 6
    • 0036957873 scopus 로고    scopus 로고
    • Leonard Adleman, Jarkko Kari, Lila Kari, Dustin Reishus, On the decidability of self-assembly of infinite ribbons, in: The 43rd Annual IEEE Symposium on Foundations of Computer Science, FOCS'02, Ottawa, Ontario, Canada, November 2002, pp. 530-537
  • 7
    • 0037134023 scopus 로고    scopus 로고
    • Solution of a 20-variable 3-SAT problem on a DNA computer
    • Braich R., Chelyapov N., Johnson C., Rothemund P., and Adleman L. Solution of a 20-variable 3-SAT problem on a DNA computer. Science 296 5567 (2002) 499-502
    • (2002) Science , vol.296 , Issue.5567 , pp. 499-502
    • Braich, R.1    Chelyapov, N.2    Johnson, C.3    Rothemund, P.4    Adleman, L.5
  • 9
    • 34247844271 scopus 로고    scopus 로고
    • Yuliy Baryshnikov, Ed G. Coffman, Nadrian Seeman, Teddy Yimwadsana, Self correcting self assembly: Growth models and the Hammersley process, in: Proceedings of the 11th International Meeting on DNA Computing, DNA 2005, London, Ontario, June 2005
  • 10
    • 34247862034 scopus 로고    scopus 로고
    • Ravinderjit Braich, Cliff Johnson, Paul Rothemund, Darryl Hwang, Nickolas Chelyapov, Leonard Adleman, Solution of a satisfiability problem on a gel-based DNA computer, in: DNA Computing: 6th International Workshop on DNA-Based Computers, DNA2000, Leiden, The Netherlands, June 2000, p. 27
  • 11
    • 30644470156 scopus 로고    scopus 로고
    • Two computational primitives for algorithmic self-assembly: Copying and counting
    • Barish R., Rothemund P., and Winfree E. Two computational primitives for algorithmic self-assembly: Copying and counting. Nano Letters 5 12 (2005) 2586-2592
    • (2005) Nano Letters , vol.5 , Issue.12 , pp. 2586-2592
    • Barish, R.1    Rothemund, P.2    Winfree, E.3
  • 12
    • 34247867861 scopus 로고    scopus 로고
    • Ho-Lin Chen, Ashish Goel, Error free self-assembly with error prone tiles, in: Proceedings of the 10th International Meeting on DNA Based Computers, DNA 2004, Milan, Italy, June 2004
  • 13
    • 34247880149 scopus 로고    scopus 로고
    • Pablo Moisset de Espanes, Computerized exhaustive search for optimal self-assembly counters, in: The 2nd Annual Foundations of Nanoscience Conference, FNANO'05, Snowbird, UT, April 2005, pp. 24-25
  • 14
    • 0027255843 scopus 로고
    • DNA double-crossover molecules
    • Fu T.J., and Seeman N.C. DNA double-crossover molecules. Biochemistry 32 13 (1993) 3211-3220
    • (1993) Biochemistry , vol.32 , Issue.13 , pp. 3211-3220
    • Fu, T.J.1    Seeman, N.C.2
  • 15
    • 33244476315 scopus 로고    scopus 로고
    • Ming-Yang Kao, Robert Schweller, Reducing tile complexity for self-assembly through temperature programming, in: Proceedings of the 17th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2006, Miami, FL, January 2006, pp. 571-580
  • 16
    • 0000536874 scopus 로고
    • Undecidability and nonperiodicity for tilings of the plane
    • Robinson R.M. Undecidability and nonperiodicity for tilings of the plane. Inventiones Mathematicae 12 3 (1971) 177-209
    • (1971) Inventiones Mathematicae , vol.12 , Issue.3 , pp. 177-209
    • Robinson, R.M.1
  • 17
    • 14044251445 scopus 로고    scopus 로고
    • Algorithmic self-assembly of DNA Sierpinski triangles
    • Rothemund P., Papadakis N., and Winfree E. Algorithmic self-assembly of DNA Sierpinski triangles. PLoS Biology 2 12 (2004) e424
    • (2004) PLoS Biology , vol.2 , Issue.12
    • Rothemund, P.1    Papadakis, N.2    Winfree, E.3
  • 18
    • 34247875873 scopus 로고    scopus 로고
    • John H. Reif, Sadheer Sahu, Peng Yin, Compact error-resilient computational DNA tiling assemblies, in: Proceedings of the 10th International Meeting on DNA Based Computers, DNA 2004, Milan, Italy, June 2004
  • 19
    • 0033701726 scopus 로고    scopus 로고
    • Paul Rothemund, Erik Winfree, The program-size complexity of self-assembled squares, in: ACM Symposium on Theory of Computing, STOC02, Montreal, Quebec, Canada, 2001, pp. 459-468
  • 20
    • 84944488797 scopus 로고
    • Proving theorems by pattern recognition I
    • Wang H. Proving theorems by pattern recognition I. Bell System Technical Journal 40 (1961) 1-42
    • (1961) Bell System Technical Journal , vol.40 , pp. 1-42
    • Wang, H.1
  • 21
    • 35048869195 scopus 로고    scopus 로고
    • Erik Winfree, Renat Bekbolatov, Proofreading tile sets: Error correction for algorithmic self-assembly, in: The 43rd Annual IEEE Symposium on Foundations of Computer Science, FOCS'02, vol. 2943, Madison, WI, June 2003, pp. 126-144
  • 22
    • 34247863619 scopus 로고    scopus 로고
    • Erik Winfree, On the computational power of DNA annealing and ligation, in: DNA Based Computers, 1996, pp. 199-221
  • 23
    • 34247855731 scopus 로고    scopus 로고
    • Erik Winfree, Algorithmic self-assembly of DNA, Ph.D. Thesis, Caltech, Pasadena, CA, June 1998


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.