메뉴 건너뛰기




Volumn 21, Issue 1, 1998, Pages 72-88

Parallel approximation algorithms by positive linear programming

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001995941     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009209     Document Type: Article
Times cited : (68)

References (38)
  • 4
    • 0040355455 scopus 로고    scopus 로고
    • Proof checking and approximation: Towards tight results
    • M. Bellare. Proof checking and approximation: towards tight results. Sigact News, 27(1), 1996.
    • (1996) Sigact News , vol.27 , Issue.1
    • Bellare, M.1
  • 12
    • 0000175256 scopus 로고
    • New 3/4-approximation algorithms for the maximum satisfiability problem
    • M. Goemans and D. Williamson. New 3/4-approximation algorithms for the maximum satisfiability problem. SIAM Journal on Discrete Mathematics, 7(4):656-666, 1994.
    • (1994) SIAM Journal on Discrete Mathematics , vol.7 , Issue.4 , pp. 656-666
    • Goemans, M.1    Williamson, D.2
  • 14
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • M.X. Goemans and D. Williamson. Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. Journal of the Association for Computing Machinery, 42(6):1115-1145, 1995.
    • (1995) Journal of the Association for Computing Machinery , vol.42 , Issue.6 , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.2
  • 16
    • 19644362498 scopus 로고
    • Approximating maximum 2-CNF satisfiability
    • D.J. Haglin. Approximating maximum 2-CNF satisfiability. Parallel Processing Letters, 2:181-187, 1992.
    • (1992) Parallel Processing Letters , vol.2 , pp. 181-187
    • Haglin, D.J.1
  • 18
    • 0000253416 scopus 로고
    • Approximation algorithms for set covering and vertex cover problems
    • D. Hochbaum. Approximation algorithms for set covering and vertex cover problems. SIAM Journal on Computing, 11:555-556, 1982.
    • (1982) SIAM Journal on Computing , vol.11 , pp. 555-556
    • Hochbaum, D.1
  • 19
    • 51249181779 scopus 로고
    • A new polynomial-time algorithm for linear programming
    • N. Karmakar. A new polynomial-time algorithm for linear programming. Combinatorica, 4:373-395, 1984.
    • (1984) Combinatorica , vol.4 , pp. 373-395
    • Karmakar, N.1
  • 20
    • 0000564361 scopus 로고
    • A polynomial time algorithm for linear programming
    • L.G. Khachian. A polynomial time algorithm for linear programming. Doklady Akademia Nauk SSR, 224:1093-1096, 1979.
    • (1979) Doklady Akademia Nauk SSR , vol.224 , pp. 1093-1096
    • Khachian, L.G.1
  • 23
    • 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 Journal on Computing, 15:1036-1053, 1986.
    • (1986) SIAM Journal on Computing , vol.15 , pp. 1036-1053
    • Luby, M.1
  • 26
    • 84947906598 scopus 로고    scopus 로고
    • Randomized approximation of the constraint satisfaction problem
    • LNCS 1097. Springer-Verlag, Berlin
    • H.C. Lau and O. Watanabe. Randomized approximation of the constraint satisfaction problem. In Proceedings of the 5th Scandinavian Workshop on Algorithm Theory, pages 76-87. LNCS 1097. Springer-Verlag, Berlin, 1996.
    • (1996) Proceedings of the 5th Scandinavian Workshop on Algorithm Theory , pp. 76-87
    • Lau, H.C.1    Watanabe, O.2
  • 27
    • 44049119317 scopus 로고
    • A note on approximate linear programming
    • N. Megiddo. A note on approximate linear programming. Information Processing Letters, 42(1):53, 1992.
    • (1992) Information Processing Letters , vol.42 , Issue.1 , pp. 53
    • Megiddo, N.1
  • 31
    • 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, 37:130-143, 1988.
    • (1988) Journal of Computer and System Sciences , vol.37 , pp. 130-143
    • Raghavan, P.1
  • 32
    • 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, 7:365-374, 1987.
    • (1987) Combinatorica , vol.7 , pp. 365-374
    • Raghavan, P.1    Thompson, C.D.2
  • 33
    • 0026107466 scopus 로고
    • Approximating linear programming is log-space complete for P
    • M. Serna. Approximating linear programming is log-space complete for P. Information Processing Letters, 37(4):233-236, 1991.
    • (1991) Information Processing Letters , vol.37 , Issue.4 , pp. 233-236
    • Serna, M.1
  • 34
    • 0038887088 scopus 로고
    • Computing near-optimal solutions to combinatorial optimization problems
    • Combinatorial Optimization. American Mathematical Society, Providence, RI
    • D. Shmoys. Computing near-optimal solutions to combinatorial optimization problems. In Combinatorial Optimization. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 20. American Mathematical Society, Providence, RI, 1995.
    • (1995) DIMACS Series in Discrete Mathematics and Theoretical Computer Science , vol.20
    • Shmoys, D.1
  • 37
    • 0001843554 scopus 로고
    • On the approximation of maximum satisfiability
    • M. Yannakakis. On the approximation of maximum satisfiability. Journal of Algorithms, 17:475-502, 1994.
    • (1994) Journal of Algorithms , vol.17 , pp. 475-502
    • Yannakakis, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.