메뉴 건너뛰기




Volumn 15, Issue 1, 2001, Pages 58-72

Constructing worst case instances for semidefinite programming based approximation algorithms

Author keywords

Approximation algorithm; MAX CUT; Semidefinite programming

Indexed keywords

GRAPH THEORY; OPTIMIZATION; POLYNOMIAL APPROXIMATION; PROBABILITY; PROBLEM SOLVING; SET THEORY; VECTORS;

EID: 10844234989     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480100379713     Document Type: Article
Times cited : (11)

References (15)
  • 2
    • 0034380791 scopus 로고    scopus 로고
    • Bipartite subgraphs and the smallest eigenvalue
    • [AS00]
    • [AS00] N. ALON AND B. SUDAKOV, Bipartite subgraphs and the smallest eigenvalue, Combin. Probab. Comput., 9 (2000), pp. 1-12.
    • (2000) Combin. Probab. Comput. , vol.9 , pp. 1-12
    • Alon, N.1    Sudakov, B.2
  • 4
    • 85027123851 scopus 로고
    • Approximating the value of two prover proof systems, with applications to MAX-2SAT and MAX-DICUT
    • [FG95] Tel Aviv, Israel
    • [FG95] U. FEIGE AND M.X. GOEMANS, Approximating the value of two prover proof systems, with applications to MAX-2SAT and MAX-DICUT, in Proceedings of the 3rd Israel Symposium on Theory and Computing Systems, Tel Aviv, Israel, 1995, pp. 182-189.
    • (1995) Proceedings of the 3rd Israel Symposium on Theory and Computing Systems , pp. 182-189
    • Feige, U.1    Goemans, M.X.2
  • 6
    • 0000037976 scopus 로고
    • On the second eigenvalue and random walks in random d-regular graphs
    • [Fri91]
    • [Fri91] J. FRIEDMAN, On the second eigenvalue and random walks in random d-regular graphs, Combinatorica, 11 (1991), pp. 331-362.
    • (1991) Combinatorica , vol.11 , pp. 331-362
    • Friedman, J.1
  • 7
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • [GW95]
    • [GW95] M.X. GOEMANS AND D P. WILLIAMSON, Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. J. ACM, 42 (1995), pp. 1115-1145.
    • (1995) J. ACM , vol.42 , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.P.2
  • 9
    • 0343168152 scopus 로고    scopus 로고
    • How good is the Goemans-Williamson MAX CUT algorithm?
    • [Kar99]
    • [Kar99] H. KARLOFF, How good is the Goemans-Williamson MAX CUT algorithm? SIAM J. Comput., 29 (1999), pp. 336-350.
    • (1999) SIAM J. Comput. , vol.29 , pp. 336-350
    • Karloff, H.1
  • 13
    • 0032266121 scopus 로고    scopus 로고
    • Approximation algorithms for constraint satisfaction problems, involving at most three variables per constraint
    • [Zwi98] San Francisco, CA, 1998, ACM, New York
    • [Zwi98] U. ZWICK, Approximation algorithms for constraint satisfaction problems, involving at most three variables per constraint, in Proceedings of the 9th Annual ACM-SIAM Symposium on Discrete Algorithms, San Francisco, CA, 1998, ACM, New York, 1998, pp. 201-210.
    • (1998) Proceedings of the 9th Annual ACM-SIAM Symposium on Discrete Algorithms , pp. 201-210
    • Zwick, U.1
  • 14
    • 0032631766 scopus 로고    scopus 로고
    • Outward rotations: A tool for rounding solutions of semidefinite programming relaxations, with applications to max cut and other problems
    • [Zwi99] Atlanta, GA
    • [Zwi99] U. ZWICK, Outward rotations: A tool for rounding solutions of semidefinite programming relaxations, with applications to max cut and other problems, in Proceedings of the 31st Annual ACM Symposium on Theory of Computing, Atlanta, GA, 1999, pp. 679-687.
    • (1999) Proceedings of the 31st Annual ACM Symposium on Theory of Computing , pp. 679-687
    • Zwick, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.