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Volumn 40, Issue 3, 2011, Pages 878-914

Beating the random ordering is hard: Every ordering csp is approximation resistant

Author keywords

Feedback arc set; Hardness of approximation; Integrality gaps; Maximum acyclic subgraph; Unique games conjecture

Indexed keywords

ARBITRARY ORDERING; BETWEENNESS; DIRECTED GRAPHS; HARDNESS OF APPROXIMATION; INTEGRALITY GAPS; IS APPROXIMATION; LINEAR ORDERINGS; OPEN PROBLEMS; ORDERING CONSTRAINTS; SEMIDEFINITE RELAXATION; SUBGRAPHS; UNIQUE GAMES CONJECTURE;

EID: 79960378967     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/090756144     Document Type: Conference Paper
Times cited : (82)

References (38)
  • 1
    • 0001317699 scopus 로고    scopus 로고
    • A New Way of Using Semidefinite Programming with Applications to Linear Equations mod p
    • DOI 10.1006/jagm.2000.1154
    • G. Andersson, L. Engebretsen, and J. Håstad, A new way of using semidefinite programming with applications to linear equations mod p, J. Algorithms, 39 (2001), pp. 162-204. (Pubitemid 33668348)
    • (2001) Journal of Algorithms , vol.39 , Issue.2 , pp. 162-204
    • Andersson, G.1    Engebretsen, L.2    Hastad, J.3
  • 2
    • 77952280579 scopus 로고    scopus 로고
    • Towards sharp inapproximability for any 2-CSP
    • P. Austrin, Towards sharp inapproximability for any 2-CSP, SIAM J. Comput., 39 (2010), pp. 2430-2463.
    • (2010) SIAM J. Comput. , vol.39 , pp. 2430-2463
    • Austrin, P.1
  • 3
    • 79952948997 scopus 로고    scopus 로고
    • Randomly supported independence and resistance
    • P. Austrin and J. Håstad, Randomly supported independence and resistance, SIAM J. Comput., 40 (2011), pp. 1-27.
    • (2011) SIAM J. Comput. , vol.40 , pp. 1-27
    • Austrin, P.1    Håstad, J.2
  • 4
    • 68149178817 scopus 로고    scopus 로고
    • Approximation resistant predicates from pairwise independence
    • P. Austrin and E. Mossel, Approximation resistant predicates from pairwise independence, Comput. Complexity, 18 (2009), pp. 249-271.
    • (2009) Comput. Complexity , vol.18 , pp. 249-271
    • Austrin, P.1    Mossel, E.2
  • 5
    • 0242337403 scopus 로고    scopus 로고
    • Tight bounds for the maximum acyclic subgraph problem
    • B. Berger and P. W. Shor, Tight bounds for the maximum acyclic subgraph problem, J. Algorithms, 25 (1997), pp. 1-18. (Pubitemid 127451248)
    • (1997) Journal of Algorithms , vol.25 , Issue.1 , pp. 1-18
    • Berger, B.1    Shor, P.W.2
  • 9
    • 0003593943 scopus 로고    scopus 로고
    • A geometric approach to betweenness
    • PII S0895480195296221
    • B. Chor and M. Sudan, A geometric approach to betweenness, SIAM J. Discrete Math., 11 (1998), pp. 511-523. (Pubitemid 128620586)
    • (1998) SIAM Journal on Discrete Mathematics , vol.11 , Issue.4 , pp. 511-523
    • Chor, B.1    Sudan, M.2
  • 10
    • 11144262799 scopus 로고    scopus 로고
    • Is constraint satisfaction over two variables always easy?
    • DOI 10.1002/rsa.20026
    • L. Engebretsen and V. Guruswami, Is constraint satisfaction over two variables always easy?, Random Structures Algorithms, 25 (2004), pp. 150-178. (Pubitemid 40031414)
    • (2004) Random Structures and Algorithms , vol.25 , Issue.2 , pp. 150-178
    • Engebretsen, L.1    Guruswami, V.2
  • 11
    • 0000255727 scopus 로고    scopus 로고
    • Approximating minimum feedback sets and multicuts in directed graphs
    • G. Even, J. Naor, B. Schieber, and M. Sudan, Approximating minimum feedback sets and multicuts in directed graphs, Algorithmica, 20 (1998), pp. 151-174. (Pubitemid 128663382)
    • (1998) Algorithmica (New York) , vol.20 , Issue.2 , pp. 151-174
    • Even, G.1    Naor, J.2    Schieber, B.3    Sudan, M.4
  • 13
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • M. X. Goemans and D. P. Williamson, Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming, J. Assoc. Comput. Mach., 42 (1995), pp. 1115-1145.
    • (1995) J. Assoc. Comput. Mach. , vol.42 , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.P.2
  • 16
    • 26444477820 scopus 로고    scopus 로고
    • Ph.D. thesis, Royal Institute of Technology, Stockholm, Sweden
    • G. Hast, Beating a Random Assignment, Ph.D. thesis, Royal Institute of Technology, Stockholm, Sweden, 2005.
    • (2005) Beating A Random Assignment
    • Hast, G.1
  • 17
    • 0000844603 scopus 로고    scopus 로고
    • Some optimal inapproximability results
    • J. Håstad, Some optimal inapproximability results, J. ACM, 48 (2001), pp. 798-859.
    • (2001) J. ACM , vol.48 , pp. 798-859
    • Håstad, J.1
  • 18
    • 57349107952 scopus 로고    scopus 로고
    • Every 2-CSP allows nontrivial approximation
    • J. Håstad, Every 2-CSP allows nontrivial approximation, Comput. Complexity, 17 (2008), pp. 549-566.
    • (2008) Comput. Complexity , vol.17 , pp. 549-566
    • Håstad, J.1
  • 19
    • 71549164098 scopus 로고    scopus 로고
    • On the approximation resistance of a random predicate
    • J. Håstad, On the approximation resistance of a random predicate, Comput. Complexity, 18 (2009), pp. 413-434.
    • (2009) Comput. Complexity , vol.18 , pp. 413-434
    • Håstad, J.1
  • 20
    • 79960373410 scopus 로고    scopus 로고
    • Maximally stable Gaussian partitions with discrete applications
    • M. Isaksson and E. Mossel, Maximally stable Gaussian partitions with discrete applications, Israel J. Math., to appear.
    • Israel J. Math., to Appear
    • Isaksson, M.1    Mossel, E.2
  • 21
    • 0041380430 scopus 로고
    • On the minimal number of arcs of a digraph meeting all its directed cutsets
    • A. Karazanov, On the minimal number of arcs of a digraph meeting all its directed cutsets, Graph Theory Newsletters, 8 (1979).
    • (1979) Graph Theory Newsletters , vol.8
    • Karazanov, A.1
  • 22
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • Plenum, New York
    • R. M. Karp, Reducibility among combinatorial problems, in Complexity of Computer Computations, Plenum, New York, 1972, pp. 85-103.
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.M.1
  • 24
    • 40049085242 scopus 로고    scopus 로고
    • Optimal inapproximability results for MAX-CUT and other 2-variable CSPs?
    • DOI 10.1137/S0097539705447372
    • S. Khot, G. Kindler, E. Mossel, and R. O'Donnell, Optimal inapproximability results for MAX-CUT and other 2-variable CSPs?, SIAM J. Comput., 37 (2007), pp. 319-357. (Pubitemid 351321999)
    • (2007) SIAM Journal on Computing , vol.37 , Issue.1 , pp. 319-357
    • Khot, S.1    Kindler, G.2    Mossel, E.3    O'Donnell, R.4
  • 25
    • 38149105774 scopus 로고    scopus 로고
    • Vertex cover might be hard to approximate to within 2-epsilon
    • S. Khot and O. Regev, Vertex cover might be hard to approximate to within 2-epsilon, J. Comput. System Sci., 74 (2008), pp. 335-349.
    • (2008) J. Comput. System Sci. , vol.74 , pp. 335-349
    • Khot, S.1    Regev, O.2
  • 26
    • 33748613486 scopus 로고    scopus 로고
    • 1
    • DOI 10.1109/SFCS.2005.74, 1530701, Proceedings - 46th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2005
    • S. Khot and N. K. Vishnoi, The Unique Games conjecture, integrality gap for cut problems and embeddability of negative type metrics into l1, in Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science, 2005, pp. 53-62. (Pubitemid 44375719)
    • (2005) Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS , vol.2005 , pp. 53-62
    • Khot, S.A.1    Vishnoi, N.K.2
  • 27
    • 84959765508 scopus 로고
    • A minimax theorem for directed graphs
    • C. Lucchesi and D. H. Younger, A minimax theorem for directed graphs, J. London Math. Soc. (2), 17 (1978), pp. 369-374.
    • (1978) J. London Math. Soc. , vol.17 , Issue.2 , pp. 369-374
    • Lucchesi, C.1    Younger, D.H.2
  • 31
    • 77952728045 scopus 로고    scopus 로고
    • Noise stability of functions with low influences: Invariance and optimality
    • E. Mossel, R. O'Donnell, and K. Oleszkiewicz, Noise stability of functions with low influences: Invariance and optimality, Ann. of Math. (2), 171 (2010), pp. 295-341.
    • (2010) Ann. of Math. , vol.171 , Issue.2 , pp. 295-341
    • Mossel, E.1    O'Donnell, R.2    Oleszkiewicz, K.3
  • 33
    • 35048846539 scopus 로고    scopus 로고
    • Cuts and orderings: On semidefinite relaxations for the linear ordering problem
    • A. Newman, Cuts and orderings: On semidefinite relaxations for the linear ordering problem, in Proceedings of APPROX-RANDOM, 2004, pp. 195-206.
    • (2004) Proceedings of APPROX-RANDOM , pp. 195-206
    • Newman, A.1
  • 34
    • 0026366408 scopus 로고
    • Optimization, approximation, and complexity classes
    • C. H. Papadimitriou and M. Yannakakis, Optimization, approximation, and complexity classes, J. Comput. System Sci., 43 (1991), pp. 425-440.
    • (1991) J. Comput. System Sci. , vol.43 , pp. 425-440
    • Papadimitriou, C.H.1    Yannakakis, M.2
  • 36
    • 0001168507 scopus 로고
    • Finding a minimum feedback arc set in reducible flow graphs
    • V. Ramachandran, Finding a minimum feedback arc set in reducible flow graphs, J. Algorithms, 9 (1988), pp. 299-313.
    • (1988) J. Algorithms , vol.9 , pp. 299-313
    • Ramachandran, V.1
  • 37
    • 34249756824 scopus 로고
    • Packing directed circuits fractionally
    • P. Seymour, Packing directed circuits fractionally, Combinatorica, 15 (1995), pp. 281-288.
    • (1995) Combinatorica , vol.15 , pp. 281-288
    • Seymour, P.1
  • 38
    • 0032266121 scopus 로고    scopus 로고
    • Approximation algorithms for constraint satisfaction problems involving at most three variables per constraint
    • U. Zwick, Approximation algorithms for constraint satisfaction problems involving at most three variables per constraint, in Proceedings of the Ninth Annual ACM-SIAM Symposium on Discrete Algorithms, 1998, pp. 201-210.
    • (1998) Proceedings of the Ninth Annual ACM-SIAM Symposium on Discrete Algorithms , pp. 201-210
    • Zwick, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.