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Volumn , Issue , 2004, Pages 306-315

Holographic algorithms

Author keywords

[No Author keywords available]

Indexed keywords

COMBINATORIAL STRUCTURES; COMPUTATIONAL PROBLEMS; HOLOGRAPHIC REDUCTION; INTEGER COEFFICIENT;

EID: 17744373330     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (78)

References (31)
  • 4
    • 0001566238 scopus 로고
    • Statistical mechanics of dimers on a plane lattice
    • Fisher, M. E. 1961. Statistical mechanics of dimers on a plane lattice, Phys. Rev. 124:1664-1672.
    • (1961) Phys. Rev. , vol.124 , pp. 1664-1672
    • Fisher, M.E.1
  • 5
    • 0000844603 scopus 로고    scopus 로고
    • Some optimal inapproximability results
    • Hastad, J. 2001. Some optimal inapproximability results, Journal of ACM 48: 798-859.
    • (2001) Journal of ACM , vol.48 , pp. 798-859
    • Hastad, J.1
  • 7
    • 84974224170 scopus 로고
    • On the computational complexity of the Jones and Tutte polynomials
    • Jaeger, F., Vertigan, D. L., and Welsh, D. J. A. 1990. On the computational complexity of the Jones and Tutte polynomials, Math. Proc. Comb. Phil. Soc. 108: 35-53.
    • (1990) Math. Proc. Comb. Phil. Soc. , vol.108 , pp. 35-53
    • Jaeger, F.1    Vertigan, D.L.2    Welsh, D.J.A.3
  • 9
    • 0020160366 scopus 로고
    • Some exact complexity results for straight-line computations over semirings
    • Jerrum, M. R. and Snir, M. 1982. Some exact complexity results for straight-line computations over semirings, J. ACM 29(3): 874-897.
    • (1982) J. ACM , vol.29 , Issue.3 , pp. 874-897
    • Jerrum, M.R.1    Snir, M.2
  • 10
    • 0009002383 scopus 로고
    • Two-dimensional monomerdimer systems are computationally intractable
    • Jerrum, M. R. 1987. Two-dimensional monomerdimer systems are computationally intractable, J. Statistical Physics 48, 1/2: 121-134. (Also 1990, 59,3/4: 1087-1088.)
    • (1987) J. Statistical Physics , vol.48 , Issue.1-2 , pp. 121-134
    • Jerrum, M.R.1
  • 11
    • 32844462318 scopus 로고
    • Also
    • Jerrum, M. R. 1987. Two-dimensional monomerdimer systems are computationally intractable, J. Statistical Physics 48, 1/2: 121-134. (Also 1990, 59,3/4: 1087-1088.)
    • (1990) J. Statistical Physics , vol.59 , Issue.3-4 , pp. 1087-1088
  • 12
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • (R. E. Miller and J. W. Thatcher, eds.), Plenum Press, New York
    • Karp, R. M. 1972. Reducibility among combinatorial problems. In Complexity of Computer Computations (R. E. Miller and J. W. Thatcher, eds.), Plenum Press, New York, pp. 85-103.
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.M.1
  • 13
    • 0000113399 scopus 로고
    • The statistics of dimers on a lattice
    • Kasteleyn, P. W. 1961. The statistics of dimers on a lattice, Physica 27:1209-1225.
    • (1961) Physica , vol.27 , pp. 1209-1225
    • Kasteleyn, P.W.1
  • 14
    • 0001834352 scopus 로고
    • Graph theory and crystal physics
    • (F. Harary, ed.), Academic Press, London
    • Kasteleyn, P. W. 1967. Graph theory and crystal physics. In Graph Theory and Theoretical Physics (F. Harary, ed.), Academic Press, London, 43-110.
    • (1967) Graph Theory and Theoretical Physics , pp. 43-110
    • Kasteleyn, P.W.1
  • 15
    • 0043209532 scopus 로고
    • Nodedeletion NP-complete problems
    • Krishnamoorthy, M. S. and Deo, N. 1979. Nodedeletion NP-complete problems, SIAM J. Comput. 8, 4: 619-625.
    • (1979) SIAM J. Comput. , vol.8 , Issue.4 , pp. 619-625
    • Krishnamoorthy, M.S.1    Deo, N.2
  • 16
    • 0019001812 scopus 로고
    • The node deletion problem for hereditary properties is NP-complete
    • Lewis, J. M. and Yannakakis, M. 1980. The node deletion problem for hereditary properties is NP-complete, J. Comp. and Syst. Sciences 20:219-230.
    • (1980) J. Comp. and Syst. Sciences , vol.20 , pp. 219-230
    • Lewis, J.M.1    Yannakakis, M.2
  • 17
    • 0002794707 scopus 로고
    • Planar formulae and their uses
    • Lichtenstein, D. 1982. Planar formulae and their uses, SIAM J. Comput. 11, 2:329-343.
    • (1982) SIAM J. Comput. , vol.11 , Issue.2 , pp. 329-343
    • Lichtenstein, D.1
  • 18
    • 24544478297 scopus 로고
    • Exact solution of the problem of the entropy of two-dimensional ice
    • Lieb, E. H. 1967a. Exact solution of the problem of the entropy of two-dimensional ice, Phys. Rev. Lett. 18: 692-694.
    • (1967) Phys. Rev. Lett. , vol.18 , pp. 692-694
    • Lieb, E.H.1
  • 20
    • 0031169815 scopus 로고    scopus 로고
    • Solving polynomial equations: Some history and recent papers
    • Pan, V.V. 1997. Solving polynomial equations: some history and recent papers. SIAM Review, 39:2, 187-220.
    • (1997) SIAM Review , vol.39 , Issue.2 , pp. 187-220
    • Pan, V.V.1
  • 22
    • 34250487811 scopus 로고
    • Gaussian elimination is not optimal
    • Strassen, V. 1969. Gaussian elimination is not optimal, Numerische Mathematik 14(3): 354-356.
    • (1969) Numerische Mathematik , vol.14 , Issue.3 , pp. 354-356
    • Strassen, V.1
  • 23
    • 0008516917 scopus 로고
    • The gap between monotone and non-monotone circuit complexity is exponential
    • Tardos, E. 1987. The gap between monotone and non-monotone circuit complexity is exponential, Combinatorica 7:141-142.
    • (1987) Combinatorica , vol.7 , pp. 141-142
    • Tardos, E.1
  • 24
    • 84996204867 scopus 로고
    • M. E. Dimer problems in statistical mechanics -An exact result
    • Temperley, H. N. V. and Fisher, 1961. M. E. Dimer problems in statistical mechanics -An exact result, Philosophical Magazine 6: 1061-1063.
    • (1961) Philosophical Magazine , vol.6 , pp. 1061-1063
    • Temperley, H.N.V.1    Fisher2
  • 25
    • 0036242959 scopus 로고    scopus 로고
    • The complexity of counting in sparse, regular and planar graphs
    • Vadhan, S. P. 2001. The complexity of counting in sparse, regular and planar graphs, SIAM J. Comput. 31(2): 398-427.
    • (2001) SIAM J. Comput. , vol.31 , Issue.2 , pp. 398-427
    • Vadhan, S.P.1
  • 26
    • 49249151236 scopus 로고
    • The complexity of computing the permanent
    • V
    • Valiant, L. G. 1979a. The complexity of computing the permanent, Theoretical Computer Science 8:189-201. V
    • (1979) Theoretical Computer Science , vol.8 , pp. 189-201
    • Valiant, L.G.1
  • 27
    • 0000142982 scopus 로고
    • The complexity of enumeration and reliability problems
    • Valiant, L. G. 1979b. The complexity of enumeration and reliability problems, SIAM J. on Comput. 8, 3:410-421.
    • (1979) SIAM J. on Comput. , vol.8 , Issue.3 , pp. 410-421
    • Valiant, L.G.1
  • 28
    • 85006998002 scopus 로고
    • Negation can be exponentially powerful
    • Valiant, L. G. 1980. Negation can be exponentially powerful, Theoretical Computer Science 12: 303-314.
    • (1980) Theoretical Computer Science , vol.12 , pp. 303-314
    • Valiant, L.G.1
  • 29
    • 0036519749 scopus 로고    scopus 로고
    • Quantum circuits that can be simulated classically in polynomial time
    • Valiant L. G. 2002. Quantum circuits that can be simulated classically in polynomial time, SIAM J on Computing, 31:4, 1229-1254.
    • (2002) SIAM J on Computing , vol.31 , Issue.4 , pp. 1229-1254
    • Valiant, L.G.1
  • 30
    • 84971698102 scopus 로고
    • The computational complexity of the Tutte plane: The bipartite case
    • Vertigan, D.L. and Welsh, D.J.A. 1992. The computational complexity of the Tutte plane: The bipartite case. Comb. Probab. Comput. 1(2): 181-187.
    • (1992) Comb. Probab. Comput. , vol.1 , Issue.2 , pp. 181-187
    • Vertigan, D.L.1    Welsh, D.J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.