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Volumn Part F129447, Issue , 1996, Pages 6-15

An extension of the Lovász Local Lemma, and its applications to integer programming

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION ALGORITHMS; GRAPH THEORY;

EID: 85013574565     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (30)

References (31)
  • 1
    • 84990668575 scopus 로고
    • A parallel algorithmic version of the local lemma
    • N. Alori, A parallel algorithmic version of the Local Lemma, Random Structures and Algorithms, 2 (1991), pp. 367-378.
    • (1991) Random Structures and Algorithms , vol.2 , pp. 367-378
    • Alori, N.1
  • 2
    • 84990648282 scopus 로고
    • The strong chromatic number of a graph
    • N. Alon, The strong chromatic number of a graph, Random Structures and Algorithms, 3 (1992), pp. 1-7.
    • (1992) Random Structures and Algorithms , vol.3 , pp. 1-7
    • Alon, N.1
  • 3
    • 0001011699 scopus 로고
    • A fast and simple randomized parallel algorithm for the maximal independent set problem
    • N. Alon, L. Babai, and A. Itai, A fast and simple randomized parallel algorithm for the maximal independent set problem, Journal of Algorithms, 7 (1986), pp. 567-583.
    • (1986) Journal of Algorithms , vol.7 , pp. 567-583
    • Alon, N.1    Babai, L.2    Itai, A.3
  • 5
    • 84990637859 scopus 로고
    • An algorithmic approach to the lovdsz local lemma
    • J. Beck, An algorithmic approach to the Lovdsz Local Lemma, Random Structures and Algorithms, 2 (1991), pp. 343-365.
    • (1991) Random Structures and Algorithms , vol.2 , pp. 343-365
    • Beck, J.1
  • 8
    • 77950050458 scopus 로고
    • c n)-wise independence in NC
    • c n)-wise independence in NC, JACM, 38 (1991), pp. 1026-1046.
    • (1991) JACM , vol.38 , pp. 1026-1046
    • Berger, B.1    Rompel, J.2
  • 10
    • 0000301097 scopus 로고
    • A greedy heuristic for the set covering problem
    • V. Chvátal, A greedy heuristic for the set covering problem, Math. of O.R., 4 (1979), pp. 233-235.
    • (1979) Math. of O.R. , vol.4 , pp. 233-235
    • Chvátal, V.1
  • 11
    • 0000951232 scopus 로고
    • Worst-case analysis of greedy heuristics for integer programming with nonnegative data
    • G. Dobson, Worst-case analysis of greedy heuristics for integer programming with nonnegative data, Math. of O.R., 7 (1982), pp. 515-531.
    • (1982) Math. of O.R. , vol.7 , pp. 515-531
    • Dobson, G.1
  • 12
    • 0001313040 scopus 로고
    • On the greedy heuristic for continuous covering and packing problems
    • M. L. Fisher and L. A. Wolsey, On the greedy heuristic for continuous covering and packing problems, SIAM J. on Algebraic and Discrete Methods, 3 (1982), pp. 584-591.
    • (1982) SIAM J. on Algebraic and Discrete Methods , vol.3 , pp. 584-591
    • Fisher, M.L.1    Wolsey, L.A.2
  • 13
    • 0000973460 scopus 로고
    • Problems and results on 3-chromatic hypergraphs and some related questions
    • A. Hajnal et al., eds., Colloq. Math. Soc. J. Bolyai 11, North Holland, Amsterdam
    • P. Erdos and L. Lóvász, Problems and results on 3-chromatic hypergraphs and some related questions, In Infinite and Finite Sets, A. Hajnal et al., eds., Colloq. Math. Soc. J. Bolyai 11, North Holland, Amsterdam, 1975, pp. 609-627.
    • (1975) Infinite and Finite Sets , pp. 609-627
    • Erdos, P.1    Lóvász, L.2
  • 15
    • 0008962909 scopus 로고
    • On the dimensions of ordered sets of bounded degree
    • Z. Füredi and J. Kahn, On the dimensions of ordered sets of bounded degree, Order, 3 (1986), pp. 15-20.
    • (1986) Order , vol.3 , pp. 15-20
    • Füredi, Z.1    Kahn, J.2
  • 16
    • 0003063741 scopus 로고
    • An exponential bound for the probability of nonexistence of a specified subgraph in a random graph
    • Karonski et al., eds., John Wiley & Sons, Chichester
    • S. Janson, T. Luczak and A. Rucinski, An exponential bound for the probability of nonexistence of a specified subgraph in a random graph, In Random Graphs '87, Karonski et al., eds., John Wiley & Sons, Chichester, 1990, pp. 73-87.
    • (1990) Random Graphs '87 , pp. 73-87
    • Janson, S.1    Luczak, T.2    Rucinski, A.3
  • 17
    • 38249038322 scopus 로고
    • Efficient parallel algorithms for edge coloring problems
    • H. J. Karloff and D. B. Shmoys, Efficient parallel algorithms for edge coloring problems, Journal of Algorithms, 8 (1987), pp. 39-52.
    • (1987) Journal of Algorithms , vol.8 , pp. 39-52
    • Karloff, H.J.1    Shmoys, D.B.2
  • 19
    • 0001165620 scopus 로고
    • Packet routing and jobshop scheduling in O (congestion + dilation) steps
    • F. T. Leighton, B. Maggs, and S. B. Rao, Packet routing and jobshop scheduling in O (congestion + dilation) steps, Combinatorica, 14 (1994), pp. 167-186.
    • (1994) Combinatorica , vol.14 , pp. 167-186
    • Leighton, F.T.1    Maggs, B.2    Rao, S.B.3
  • 21
    • 0000203509 scopus 로고
    • On the ratio of optimal integral and fractional covers
    • L. Lovász, On the ratio of optimal integral and fractional covers, Discrete Math., 13 (1975), pp. 383-390.
    • (1975) Discrete Math. , vol.13 , pp. 383-390
    • Lovász, L.1
  • 22
    • 0022807929 scopus 로고
    • A simple parallel algorithm for the maximal independent set problem
    • M. Luby, A simple parallel algorithm for the maximal independent set problem, SIAM J. Comput., 15 (1986), pp. 1036-1053.
    • (1986) SIAM J. Comput. , vol.15 , pp. 1036-1053
    • Luby, M.1
  • 23
    • 0028727387 scopus 로고
    • The probabilistic method yields deterministic parallel algorithms
    • R. Motwani, J. Naor, and M. Naor, The probabilistic method yields deterministic parallel algorithms, Journal of Computer and System Sciences, 49 (1994), pp. 478-516.
    • (1994) Journal of Computer and System Sciences , vol.49 , pp. 478-516
    • Motwani, R.1    Naor, J.2    Naor, M.3
  • 24
    • 0000947929 scopus 로고
    • Pseudorandom generators for space-bounded computation
    • N. Nisan, Pseudorandom generators for space-bounded computation, Combinatorica, 12 (1992), pp. 449-461.
    • (1992) Combinatorica , vol.12 , pp. 449-461
    • Nisan, N.1
  • 25
    • 0026407442 scopus 로고
    • Fast approximation algorithms for fractional packing and covering problems
    • S. A. Plotkin, D. B. Shmoys, and É. Tardos, Fast approximation algorithms for fractional packing and covering problems, In Proc. IEEE FOCS Symposium, pp. 495-504, 1991.
    • (1991) Proc. IEEE FOCS Symposium , pp. 495-504
    • Plotkin, S.A.1    Shmoys, D.B.2    Tardos, E.3
  • 26
    • 0000435276 scopus 로고
    • Probabilistic construction of deterministic algorithms: Approximating packing integer programs
    • P. Raghavan, Probabilistic construction of deterministic algorithms: approximating packing integer programs, Journal of Computer and System Sciences, 37 (1988), pp. 130-143.
    • (1988) Journal of Computer and System Sciences , vol.37 , pp. 130-143
    • Raghavan, P.1
  • 27
    • 51249173817 scopus 로고
    • Randomized rounding: A technique for provably good algorithms and algorithmic proofs
    • P. Raghavan and C. D. Thompson, Randomized rounding: a technique for provably good algorithms and algorithmic proofs, Combinatorica, 7 (1987), pp. 365-374.
    • (1987) Combinatorica , vol.7 , pp. 365-374
    • Raghavan, P.1    Thompson, C.D.2
  • 31


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.