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Volumn 32, Issue 1, 2002, Pages 157-162

A permanent algorithm with exp[Ω(n1/3/2 in n)] expected speedup for 0-1 matrices

Author keywords

P; Algorithms; Combinatorial problems; Finite difference; Generating function; Permanent

Indexed keywords


EID: 0012251618     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00453-001-0072-0     Document Type: Article
Times cited : (25)

References (14)
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  • 3
    • 0004605653 scopus 로고    scopus 로고
    • A permanent formula with many zero-valued terms
    • E. Bax and J. Franklin, A permanent formula with many zero-valued terms, Inform. Process. Lett., 63 (1997), 33-39.
    • (1997) Inform. Process. Lett. , vol.63 , pp. 33-39
    • Bax, E.1    Franklin, J.2
  • 5
    • 84971138052 scopus 로고
    • An improved lower bound for the multidimensional dimer problem
    • J. M. Hammersley, An improved lower bound for the multidimensional dimer problem, Math Proc. Cambridge Philos. Soc., 64 (1968), 455-163.
    • (1968) Math Proc. Cambridge Philos. Soc. , vol.64 , pp. 455-1163
    • Hammersley, J.M.1
  • 6
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • W. Hoeffding, Probability inequalities for sums of bounded random variables, Amer. Statist. Assoc. J., 58(1963), 13-30.
    • (1963) Amer. Statist. Assoc. J. , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 7
    • 0024904712 scopus 로고
    • Approximating the permanent
    • M. R. Jerrum and A. Sinclair, Approximating the permanent, SIAM J. Comput., 18(6) (1989), 1149-1178.
    • (1989) SIAM J. Comput. , vol.18 , Issue.6 , pp. 1149-1178
    • Jerrum, M.R.1    Sinclair, A.2
  • 8
    • 1542500795 scopus 로고    scopus 로고
    • A mildly exponential approximation algorithm for the permanent
    • M. Jerrum and U. Vazirani, A mildly exponential approximation algorithm for the permanent, Algorithmica, 16 (1996), 392-401.
    • (1996) Algorithmica , vol.16 , pp. 392-401
    • Jerrum, M.1    Vazirani, U.2
  • 9
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  • 11
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    • The Mathematical Association of America, Washington, DC, Chapter 2
    • H. J. Ryser, Combinatorial Mathematics, The Mathematical Association of America, Washington, DC, 1963, Chapter 2.
    • (1963) Combinatorial Mathematics
    • Ryser, H.J.1
  • 14
    • 49249151236 scopus 로고
    • The complexity of computing the permanent
    • L. G. Valiant, The complexity of computing the permanent, Theoret. Comput. Sci., 8 (1979), 189-201.
    • (1979) Theoret. Comput. Sci. , vol.8 , pp. 189-201
    • Valiant, L.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.