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Volumn 246, Issue 1-2, 2000, Pages 265-278

Polynomial-time counting and sampling of two-rowed contingency tables

Author keywords

Complexity; Contigency tables; Markov chains; Path coupling; Randomized algorithms

Indexed keywords


EID: 0000542530     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(99)00136-X     Document Type: Article
Times cited : (35)

References (20)
  • 2
    • 0000569649 scopus 로고
    • Random walks on finite groups and rapidly mixing Markov chains
    • A. Dold, B. Eckmann (Eds.), Séminaire de Probabilités XVII 1981/1982, Springer, New York
    • D. Aldous, Random walks on finite groups and rapidly mixing Markov chains, in: A. Dold, B. Eckmann (Eds.), Séminaire de Probabilités XVII 1981/1982, Lecture Notes in Mathematics, Vol. 986, Springer, New York, 1983, pp. 243-297.
    • (1983) Lecture Notes in Mathematics , vol.986 , pp. 243-297
    • Aldous, D.1
  • 3
  • 4
    • 0031359702 scopus 로고    scopus 로고
    • Path coupling: A technique for proving rapid mixing in Markov chains
    • IEEE, San Alimitos
    • R. Bubley, M. Dyer, Path coupling: A technique for proving rapid mixing in Markov chains, 38th Annual Symp. on Foundations of Computer Science, IEEE, San Alimitos, 1997, pp. 223-231.
    • (1997) 38th Annual Symp. on Foundations of Computer Science , pp. 223-231
    • Bubley, R.1    Dyer, M.2
  • 5
    • 0032272929 scopus 로고    scopus 로고
    • Beating the 2Δ bound for approximately counting colourings: A computer-assisted proof of rapid mixing
    • ACM-SIAM, New York-Philadelphia
    • R. Bubley, M. Dyer, C. Greenhill, Beating the 2Δ bound for approximately counting colourings: A computer-assisted proof of rapid mixing, in 9th Annual Symp. on Discrete Algorithms, ACM-SIAM, New York-Philadelphia, 1998, pp. 355-363.
    • (1998) 9th Annual Symp. on Discrete Algorithms , pp. 355-363
    • Bubley, R.1    Dyer, M.2    Greenhill, C.3
  • 7
    • 0001077218 scopus 로고
    • Testing for independence in a two-way table: New interpretations of the chi-square statistic
    • P. Diaconis, B. Effron, Testing for independence in a two-way table: new interpretations of the chi-square statistic (with discussion), Ann. Statist. 13 (1985) 845-913.
    • (1985) Ann. Statist. , vol.13 , pp. 845-913
    • Diaconis, P.1    Effron, B.2
  • 8
    • 0001874271 scopus 로고
    • Rectangular arrays with fixed margins
    • D. Aldous, P.P. Varaiya, J. Spencer, J.M. Steele (Eds.), Discrete Probability and Algorithms, Springer, New York
    • P. Diaconis, A. Gangolli, Rectangular arrays with fixed margins, in: D. Aldous, P.P. Varaiya, J. Spencer, J.M. Steele (Eds.), Discrete Probability and Algorithms, IMA Volumes on Mathematics and its Applications, Vol. 72, Springer, New York, 1995, pp. 15-41.
    • (1995) IMA Volumes on Mathematics and its Applications , vol.72 , pp. 15-41
    • Diaconis, P.1    Gangolli, A.2
  • 10
    • 0003672936 scopus 로고
    • Computing the volume of convex bodies: A case where randomness provably helps
    • M. Dyer, A. Frieze, Computing the volume of convex bodies: A case where randomness provably helps, Proc. Symp. in Applied Mathematics, Vol. 44, 1991, pp. 123-169.
    • (1991) Proc. Symp. in Applied Mathematics , vol.44 , pp. 123-169
    • Dyer, M.1    Frieze, A.2
  • 11
    • 84878606501 scopus 로고    scopus 로고
    • A genuinely polynomial time algorithm for sampling two-rowed contingency tables
    • Aalborg, Denmark
    • M. Dyer, C. Greenhill, A genuinely polynomial time algorithm for sampling two-rowed contingency tables, 25th Internat. Colloq. on Automata, Languages and Programming, Aalborg, Denmark, 1998, pp. 339-350.
    • (1998) 25th Internat. Colloq. on Automata, Languages and Programming , pp. 339-350
    • Dyer, M.1    Greenhill, C.2
  • 12
    • 0032221895 scopus 로고    scopus 로고
    • A more rapidly mixing Markov chain for graph colourings
    • M. Dyer, C. Greenhill, A more rapidly mixing Markov chain for graph colourings, Random Struct. Algorithms 13 (1998) 285-317.
    • (1998) Random Struct. Algorithms , vol.13 , pp. 285-317
    • Dyer, M.1    Greenhill, C.2
  • 14
    • 0348104464 scopus 로고    scopus 로고
    • Private Communication
    • D. Hernek, Private Communication, 1998.
    • (1998)
    • Hernek, D.1
  • 15
    • 0039494816 scopus 로고    scopus 로고
    • Random generation of 2 x n contingency tables
    • D. Hernek, Random generation of 2 x n contingency tables, Random Struct. Algorithms 13 (1998) 71-79.
    • (1998) Random Struct. Algorithms , vol.13 , pp. 71-79
    • Hernek, D.1
  • 16
    • 0002734223 scopus 로고    scopus 로고
    • The Markov chain Monte Carlo method: An approach to approximate counting and integration
    • D. Hochbaum (Ed.), PWS Publishing, Boston
    • M. Jerrum, A. Sinclair, The Markov chain Monte Carlo method: an approach to approximate counting and integration, in: D. Hochbaum (Ed.), Approximation Algorithms for NP-Hard Problems, PWS Publishing, Boston, 1996, pp. 482-520.
    • (1996) Approximation Algorithms for NP-Hard Problems , pp. 482-520
    • Jerrum, M.1    Sinclair, A.2
  • 17
    • 0030778014 scopus 로고    scopus 로고
    • Simple Markov chain algorithms for generating bipartite graphs and tournaments
    • ACM-SIAM, New York-Philadelphia
    • R. Kannan, P. Tetali, S. Vempala, Simple Markov chain algorithms for generating bipartite graphs and tournaments, 8th Annual Symp. on Discrete Algorithms, ACM-SIAM, New York-Philadelphia, 1997, pp. 193-200.
    • (1997) 8th Annual Symp. on Discrete Algorithms , pp. 193-200
    • Kannan, R.1    Tetali, P.2    Vempala, S.3
  • 18
    • 0020937083 scopus 로고
    • Monte-Carlo algorithms for enumeration and reliability problems
    • IEEE, San Alimitos
    • R.M. Karp, M. Luby, Monte-Carlo algorithms for enumeration and reliability problems, 24th Annual Symp. on Foundations of Computer Science, IEEE, San Alimitos, 1983, pp. 56-64.
    • (1983) 24th Annual Symp. on Foundations of Computer Science , pp. 56-64
    • Karp, R.M.1    Luby, M.2
  • 20
    • 84884488879 scopus 로고
    • The analysis of categorical data from complex sample surveys: Chi-squared tests for goodness of fit and independence in two-way tables
    • J.N.K. Rao, A.J. Scott, The analysis of categorical data from complex sample surveys: chi-squared tests for goodness of fit and independence in two-way tables, J. Amer. Statist. Assoc. 76 (374) (1981) 221-230.
    • (1981) J. Amer. Statist. Assoc. , vol.76 , Issue.374 , pp. 221-230
    • Rao, J.N.K.1    Scott, A.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.