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Volumn 34, Issue 1, 2005, Pages 195-226

Random walks on truncated cubes and sampling 0-1 knapsack solutions

Author keywords

Balanced permutations; Hypercubes; Knapsack problem; Markov chains; Random permutations; Random sampling; Random walks

Indexed keywords

BALANCED PERMUTATIONS; HYPERCUBES; KNAPSACK PROBLEM; RANDOM PERMUTATIONS; RANDOM SAMPLING; RANDOM WALKS;

EID: 16244391110     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0097539702411915     Document Type: Article
Times cited : (51)

References (19)
  • 3
    • 0002740591 scopus 로고
    • Geometric bounds for eigenvalues of Markov chains
    • P. DIACONIS AND D. STROOCK, Geometric bounds for eigenvalues of Markov chains, Ann. Appl. Probab., 1 (1991), pp. 36-61.
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 36-61
    • Diaconis, P.1    Stroock, D.2
  • 5
    • 84971737376 scopus 로고
    • A mildly exponential time algorithm for approximating the number of solutions to a multidimensional knapsack problem, Combin
    • M. DYER, A. FRIEZE, R. KANNAN, A. KAPOOR, L. PERKOVIC, AND U. VAZIRANI, A mildly exponential time algorithm for approximating the number of solutions to a multidimensional knapsack problem, Combin. Probab. Comput., 2 (1993), pp. 271-284.
    • (1993) Probab. Comput. , vol.2 , pp. 271-284
    • Dyer, M.1    Frieze, A.2    Kannan, R.3    Kapoor, A.4    Perkovic, L.5    Vazirani, U.6
  • 8
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • W. HOEFFDING, Probability inequalities for sums of bounded random variables, J. Amer. Statist. Assoc., 58 (1963), pp. 13-30.
    • (1963) J. Amer. Statist. Assoc. , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 9
    • 0000002644 scopus 로고    scopus 로고
    • Mathematical foundations of the Markov chain Monte Carlo method
    • Probabilistic Methods for Algorithmic Discrete Mathematics, M. Habib, C. McDiarmid, J. Ramirez-Alfonsin, and B. Reed, eds., Springer-Verlag, Berlin
    • M. R. JERRUM, Mathematical foundations of the Markov chain Monte Carlo method, in Probabilistic Methods for Algorithmic Discrete Mathematics, M. Habib, C. McDiarmid, J. Ramirez-Alfonsin, and B. Reed, eds., Algorithms Combin. 16, Springer-Verlag, Berlin, 1998, pp. 116-165.
    • (1998) Algorithms Combin. , vol.16 , pp. 116-165
    • Jerrum, M.R.1
  • 10
    • 0024904712 scopus 로고
    • Approximating the permanent
    • M. R. JERRUM AND A. J. SINCLAIR, Approximating the permanent, SIAM J. Comput., 18 (1989), pp. 1149-1178.
    • (1989) SIAM J. Comput. , vol.18 , pp. 1149-1178
    • Jerrum, M.R.1    Sinclair, A.J.2
  • 11
    • 0027677367 scopus 로고
    • Polynomial-time approximation algorithms for the Ising model
    • M. R. JERRUM AND A. J. SINCLAIR, Polynomial-time approximation algorithms for the Ising model, SIAM J. Comput., 22 (1993), pp. 1087-1116.
    • (1993) SIAM J. Comput. , vol.22 , pp. 1087-1116
    • Jerrum, M.R.1    Sinclair, A.J.2
  • 12
    • 0002734223 scopus 로고    scopus 로고
    • The Markov chain Monte Carlo method: An approach to approximate counting and integration
    • D. S. Hochbaum, ed., PWS Publishing, Boston
    • M. R. JERRUM AND A. J. SINCLAIR, The Markov chain Monte Carlo method: An approach to approximate counting and integration, in Approximation Algorithms for NP-Hard Problems, D. S. Hochbaum, ed., PWS Publishing, Boston, 1997, pp. 482-520.
    • (1997) Approximation Algorithms for NP-hard Problems , pp. 482-520
    • Jerrum, M.R.1    Sinclair, A.J.2
  • 13
    • 38249043088 scopus 로고
    • Random generation of combinatorial structures from a uniform distribution
    • M. R. JERRUM, L. G. VALIANT, AND V. V. VAZIRANI, Random generation of combinatorial structures from a uniform distribution, Theoret. Comput. Sci., 43 (1986), pp. 169-188.
    • (1986) Theoret. Comput. Sci. , vol.43 , pp. 169-188
    • Jerrum, M.R.1    Valiant, L.G.2    Vazirani, V.V.3
  • 15
    • 0012609306 scopus 로고    scopus 로고
    • Ph.D. thesis, University of California at Berkeley, Berkeley, CA
    • B. MORRIS, Random Walks in Convex Sets, Ph.D. thesis, University of California at Berkeley, Berkeley, CA, 2000.
    • (2000) Random Walks in Convex Sets
    • Morris, B.1
  • 17
    • 0000858580 scopus 로고    scopus 로고
    • Lectures on finite Markov chains
    • Lectures on Probability Theory and Statistics, Springer-Verlag, Berlin
    • L. SALOFF-COSTE, Lectures on finite Markov chains, in Lectures on Probability Theory and Statistics, Lecture Notes in Math. 1665, Springer-Verlag, Berlin, 1997, pp. 301-413.
    • (1997) Lecture Notes in Math. , vol.1665 , pp. 301-413
    • Saloff-Coste, L.1
  • 18
    • 84971804758 scopus 로고
    • Improved bounds for mixing rates of Markov chains and multicommodity flow
    • A. J. SINCLAIR, Improved bounds for mixing rates of Markov chains and multicommodity flow, Combin. Probab. Comput., 1 (1992), pp. 351-370.
    • (1992) Combin. Probab. Comput. , vol.1 , pp. 351-370
    • Sinclair, A.J.1
  • 19
    • 0003445019 scopus 로고
    • Algorithms for Random Generation and Counting
    • Birkhäuser Boston, Boston, MA
    • A. J. SINCLAIR, Algorithms for Random Generation and Counting, Progr. Theoret. Comput. Sci., Birkhäuser Boston, Boston, MA, 1993.
    • (1993) Progr. Theoret. Comput. Sci.
    • Sinclair, A.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.