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Volumn 8, Issue 2, 2009, Pages 321-331

Solving the subset-sum problem with a light-based device

Author keywords

NP complete; Optical solutions; Subsetsum; Unconventional computing

Indexed keywords

ALGORITHM; ANALYTICAL EQUIPMENT; ARTICLE; DISPERSION; ELECTRICITY; FOURIER TRANSFORMATION; LASER; LIGHT; MATHEMATICAL COMPUTING; PROBLEM SOLVING; VELOCITY;

EID: 65549084779     PISSN: 15677818     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11047-007-9059-3     Document Type: Article
Times cited : (34)

References (32)
  • 2
    • 0028114541 scopus 로고
    • Molecular computation of solutions to combinatorial problems
    • Adleman L (1994) Molecular computation of solutions to combinatorial problems. Science 266:1021-1024
    • (1994) Science , vol.266 , pp. 1021-1024
    • Adleman, L.1
  • 4
    • 0347185346 scopus 로고    scopus 로고
    • Stationary pulses of light in an atomic medium
    • Bajcsy M, Zibrov AS, Lukin MD (2003) Stationary pulses of light in an atomic medium. Nature 426:638-641
    • (2003) Nature , vol.426 , pp. 638-641
    • Bajcsy, M.1    Zibrov, A.S.2    Lukin, M.D.3
  • 7
    • 14344256360 scopus 로고    scopus 로고
    • Optoelectronics: Silicon shines on
    • Faist J (2005) Optoelectronics: Silicon shines on. Nature 433:691-692
    • (2005) Nature , vol.433 , pp. 691-692
    • Faist, J.1
  • 11
    • 0002662534 scopus 로고
    • Multistage cutting stock problems of two and more dimensions
    • Gilmore PC, Gomory RE (1965) Multistage cutting stock problems of two and more dimensions. Oper Res 13(1):94-120
    • (1965) Oper Res , vol.13 , Issue.1 , pp. 94-120
    • Gilmore, P.C.1    Gomory, R.E.2
  • 12
    • 18444396119 scopus 로고
    • Architectural development of optical data processing systems
    • Goodman JW (1982) Architectural development of optical data processing systems. Aust J Electr Electron Eng 2:139-149
    • (1982) Aust J Electr Electron Eng , vol.2 , pp. 139-149
    • Goodman, J.W.1
  • 13
    • 34547816137 scopus 로고    scopus 로고
    • An optical solution for the traveling salesman problem
    • Haist T and Osten W (2007) An optical solution for the traveling salesman problem. Opt Express 15:10473-10482
    • (2007) Opt Express , vol.15 , pp. 10473-10482
    • Haist, T.1    Osten, W.2
  • 14
    • 0001558012 scopus 로고
    • On the weight of computations
    • Hartmanis J (1995) On the weight of computations. B EATCS 55:136-138
    • (1995) B EATCS , vol.55 , pp. 136-138
    • Hartmanis, J.1
  • 15
    • 0000755084 scopus 로고    scopus 로고
    • Light speed reduction to 17 m per second in an ultracold atomic gas
    • Hau LV, Harris SE, Dutton Z, Behroozi CH (1999) Light speed reduction to 17 m per second in an ultracold atomic gas. Nature 397:594-598
    • (1999) Nature , vol.397 , pp. 594-598
    • Hau, L.V.1    Harris, S.E.2    Dutton, Z.3    Behroozi, C.H.4
  • 16
    • 0347756905 scopus 로고    scopus 로고
    • Quantum algorithm for Hilbert's tenth problem
    • Kieu TD (2003) Quantum algorithm for Hilbert's tenth problem. Int J Theor Phys 42:1461-1478
    • (2003) Int J Theor Phys , vol.42 , pp. 1461-1478
    • Kieu, T.D.1
  • 17
    • 84867724306 scopus 로고    scopus 로고
    • Lenslet website
    • Lenslet website (2005) http://www.lenslet.com
    • (2005)
  • 18
    • 0035945631 scopus 로고    scopus 로고
    • Observation of coherent optical information storage in an atomic medium using halted light pulses
    • Liu C, Dutton Z, Behroozi CH, Hau LV (2001) Observation of coherent optical information storage in an atomic medium using halted light pulses. Nature 409:490-493
    • (2001) Nature , vol.409 , pp. 490-493
    • Liu, C.1    Dutton, Z.2    Behroozi, C.H.3    Hau, L.V.4
  • 20
    • 0033690369 scopus 로고    scopus 로고
    • A model of computation for Fourier optical processors
    • In: Lessard RA, Galstian T (eds)
    • Naughton TJ (2000) A model of computation for Fourier optical processors. In: Lessard RA, Galstian T (eds) Optics in computing, Proceedings SPIE 4089:24-34
    • (2000) Optics in Computing, Proceedings SPIE , vol.4089 , pp. 24-34
    • Naughton, T.J.1
  • 21
    • 33750013734 scopus 로고    scopus 로고
    • A light-based device for solving the Hamiltonian path problem
    • In: Calude C et al (eds) Springer-Verlag
    • Oltean M (2006) A light-based device for solving the Hamiltonian path problem. In: Calude C et al (eds) Unconventional computing LNCS 4135, Springer-Verlag, pp 217-227
    • (2006) Unconventional Computing LNCS 4135 , pp. 217-227
    • Oltean, M.1
  • 22
    • 39049108838 scopus 로고    scopus 로고
    • Solving the Hamiltonian path problem with a light-based computer
    • doi: 10.1007/s11047-007-9042-z
    • Oltean M (2007) Solving the Hamiltonian path problem with a light-based computer. Nat Comput doi: 10.1007/s11047-007-9042-z
    • (2007) Nat Comput
    • Oltean, M.1
  • 23
    • 27144472962 scopus 로고    scopus 로고
    • The silicon solution
    • IEEE Press, October
    • Paniccia M, Koehl S (2005) The silicon solution. IEEE Spectrum, IEEE Press, October
    • (2005) IEEE Spectrum
    • Paniccia, M.1    Koehl, S.2
  • 24
    • 0031563727 scopus 로고    scopus 로고
    • Efficient parallel algorithms for optical computing with the discrete Fourier transform primitive
    • Reif JH, Tyagi A (1997) Efficient parallel algorithms for optical computing with the discrete Fourier transform primitive. Appl Optics 36(29):7327-7340
    • (1997) Appl Optics , vol.36 , Issue.29 , pp. 7327-7340
    • Reif, J.H.1    Tyagi, A.2
  • 27
    • 31144439153 scopus 로고    scopus 로고
    • Rainbow Sort: Sorting at the speed of light
    • Springer-Verlag
    • Schultes D (2005) Rainbow Sort: Sorting at the speed of light. Nat Comput, Springer-Verlag 5(1):67-82
    • (2005) Nat Comput , vol.5 , Issue.1 , pp. 67-82
    • Schultes, D.1
  • 28
    • 33947146306 scopus 로고    scopus 로고
    • Optical solution for bounded NP-complete problems
    • Shaked NT, Messika S, Dolev S and Rosen J (2007) Optical solution for bounded NP-complete problems. Appl Optics 46:711-724
    • (2007) Appl Optics , vol.46 , pp. 711-724
    • Shaked, N.T.1    Messika, S.2    Dolev, S.3    Rosen, J.4
  • 29
    • 0142051871 scopus 로고    scopus 로고
    • Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
    • Shor P (1997) Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J Comput 26(5):1484-1509
    • (1997) SIAM J Comput , vol.26 , Issue.5 , pp. 1484-1509
    • Shor, P.1
  • 32
    • 16344388582 scopus 로고    scopus 로고
    • An optical model of computation
    • Woods D, Naughton TJ (2005) An optical model of computation. Theor Comput Sci 334(1-3):227-258
    • (2005) Theor Comput Sci , vol.334 , Issue.1-3 , pp. 227-258
    • Woods, D.1    Naughton, T.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.