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Volumn , Issue , 2011, Pages 472-481

Rounding semidefinite programming hierarchies via global correlation

Author keywords

[No Author keywords available]

Indexed keywords

ADJACENCY MATRICES; ALPHABET SIZE; CONSTRAINT GRAPH; CONSTRAINT SATISFACTION PROBLEMS; EIGEN-VALUE; GLOBAL CORRELATION; HARD INSTANCES; INPUT GRAPHS; INTEGRAL SOLUTIONS; NON-TRIVIAL; ROUNDING ALGORITHM; SEMI-DEFINITE PROGRAMMING; SUB-EXPONENTIAL ALGORITHMS; UNIQUE GAMES; UNIQUE GAMES CONJECTURE;

EID: 84863302966     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FOCS.2011.95     Document Type: Conference Paper
Times cited : (170)

References (36)
  • 1
    • 77952276186 scopus 로고    scopus 로고
    • Quasi-randomness and algorithmic regularity for graphs with general degree distributions
    • N. Alon, A. Coja-Oghlan, H. Hàn, M. Kang, V. Rödl, and M. Schacht, "Quasi-randomness and algorithmic regularity for graphs with general degree distributions," SIAM J. Comput., vol. 39, no. 6, pp. 2336-2362, 2010.
    • (2010) SIAM J. Comput. , vol.39 , Issue.6 , pp. 2336-2362
    • Alon, N.1    Coja-Oghlan, A.2    Hàn, H.3    Kang, M.4    Rödl, V.5    Schacht, M.6
  • 2
    • 78751539332 scopus 로고    scopus 로고
    • Subexponential algorithms for unique games and related problems
    • S. Arora, B. Barak, and D. Steurer, "Subexponential algorithms for unique games and related problems," in FOCS, 2010, pp. 563-572.
    • (2010) FOCS , pp. 563-572
    • Arora, S.1    Barak, B.2    Steurer, D.3
  • 3
    • 34247587417 scopus 로고    scopus 로고
    • Proving integrality gaps without knowing the linear program
    • S. Arora, B. Bollobás, L. Lovász, and I. Tourlakis, "Proving integrality gaps without knowing the linear program," Theory of Computing, vol. 2, no. 1, pp. 19-51, 2006.
    • (2006) Theory of Computing , vol.2 , Issue.1 , pp. 19-51
    • Arora, S.1    Bollobás, B.2    Lovász, L.3    Tourlakis, I.4
  • 5
    • 70349970181 scopus 로고    scopus 로고
    • Expander flows, geometric embeddings and graph partitioning
    • S. Arora, S. Rao, and U. V. Vazirani, "Expander flows, geometric embeddings and graph partitioning," J. ACM, vol. 56, no. 2, 2009.
    • (2009) J. ACM , vol.56 , Issue.2
    • Arora, S.1    Rao, S.2    Vazirani, U.V.3
  • 8
    • 77954702542 scopus 로고    scopus 로고
    • Detecting high log-densities: An O(n1/4) approximation for densest k-subgraph
    • A. Bhaskara, M. Charikar, E. Chlamtac, U. Feige, and A. Vijayaraghavan, "Detecting high log-densities: an O(n1/4) approximation for densest k-subgraph," in STOC, 2010, pp. 201-210.
    • (2010) STOC , pp. 201-210
    • Bhaskara, A.1    Charikar, M.2    Chlamtac, E.3    Feige, U.4    Vijayaraghavan, A.5
  • 9
    • 46749130894 scopus 로고    scopus 로고
    • Approximation algorithms using hierarchies of semidefinite programming relaxations
    • E. Chlamtac, "Approximation algorithms using hierarchies of semidefinite programming relaxations,"in FOCS, 2007, pp. 691-701.
    • (2007) FOCS , pp. 691-701
    • Chlamtac, E.1
  • 11
    • 77950823541 scopus 로고    scopus 로고
    • An efficient sparse regularity concept
    • A. Coja-Oghlan, C. Cooper, and A. M. Frieze, "An efficient sparse regularity concept," SIAM J. Discrete Math., vol. 23, no. 4, pp. 2000-2034, 2010.
    • (2010) SIAM J. Discrete Math. , vol.23 , Issue.4 , pp. 2000-2034
    • Coja-Oghlan, A.1    Cooper, C.2    Frieze, A.M.3
  • 12
    • 0036099092 scopus 로고    scopus 로고
    • On the Optimality of the Random Hyperplane Rounding Technique for MAX CUT
    • DOI 10.1002/rsa.10036
    • U. Feige and G. Schechtman, "On the optimality of the random hyperplane rounding technique for MAX CUT," Random Struct. Algorithms, vol. 20, no. 3, pp. 403-440, 2002. (Pubitemid 37340801)
    • (2002) Random Structures and Algorithms , vol.20 , Issue.3 , pp. 403-440
    • Feige, U.1    Schechtman, G.2
  • 13
    • 0040942625 scopus 로고    scopus 로고
    • Quick approximation to matrices and applications
    • A. M. Frieze and R. Kannan, "Quick approximation to matrices and applications," Combinatorica, vol. 19, no. 2, pp. 175-220, 1999.
    • (1999) Combinatorica , vol.19 , Issue.2 , pp. 175-220
    • Frieze, A.M.1    Kannan, R.2
  • 14
    • 45749135866 scopus 로고    scopus 로고
    • Integrality gaps of 2 - o(1) for vertex cover sdps in the Lovász-Schrijver hierarchy
    • K. Georgiou, A. Magen, T. Pitassi, and I. Tourlakis, "Integrality gaps of 2 - o(1) for vertex cover sdps in the Lovász-Schrijver hierarchy,"in FOCS, 2007, pp. 702-712.
    • (2007) FOCS , pp. 702-712
    • Georgiou, K.1    Magen, A.2    Pitassi, T.3    Tourlakis, I.4
  • 15
    • 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. ACM, vol. 42, no. 6, pp. 1115-1145, 1995.
    • (1995) J. ACM , vol.42 , Issue.6 , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.P.2
  • 16
    • 84860135351 scopus 로고    scopus 로고
    • Lasserre hierarchy, higher eigenvalues, and approximation schemes for quadratic integer programming with psd objectives
    • V. Guruswami and A. K. Sinop, "Lasserre hierarchy, higher eigenvalues, and approximation schemes for quadratic integer programming with psd objectives," fOCS 2011.
    • (2011) FOCS
    • Guruswami, V.1    Sinop, A.K.2
  • 17
    • 77952327500 scopus 로고    scopus 로고
    • Local graph partitions for approximation and testing
    • A. Hassidim, J. A. Kelner, H. N. Nguyen, and K. Onak, "Local graph partitions for approximation and testing," in FOCS, 2009, pp. 22-31.
    • (2009) FOCS , pp. 22-31
    • Hassidim, A.1    Kelner, J.A.2    Nguyen, H.N.3    Onak, K.4
  • 18
    • 0032028848 scopus 로고    scopus 로고
    • Approximate Graph Coloring by Semidefinite Programming
    • D. R. Karger, R. Motwani, and M. Sudan, "Approximate graph coloring by semidefinite programming," J. ACM, vol. 45, no. 2, pp. 246-265, 1998. (Pubitemid 128505780)
    • (1998) Journal of the ACM , vol.45 , Issue.2 , pp. 246-265
    • Karger, D.1    Motwani, R.2    Sudan, M.3
  • 19
    • 0036040281 scopus 로고    scopus 로고
    • On the power of unique 2-prover 1-round games
    • S. Khot, "On the power of unique 2-prover 1-round games," in STOC, 2002, pp. 767-775.
    • (2002) STOC , pp. 767-775
    • Khot, S.1
  • 20
    • 17744388630 scopus 로고    scopus 로고
    • Optimal inapproximability results for Max-Cut and other 2-variable CSPs?
    • S. Khot, G. Kindler, E. Mossel, and R. O'Donnell, "Optimal inapproximability results for Max-Cut and other 2-variable CSPs?" in FOCS, 2004, pp. 146-154.
    • (2004) FOCS , pp. 146-154
    • Khot, S.1    Kindler, G.2    Mossel, E.3    O'Donnell, R.4
  • 21
    • 78149346931 scopus 로고    scopus 로고
    • Approximate lasserre integrality gap for unique games
    • S. Khot, P. Popat, and R. Saket, "Approximate lasserre integrality gap for unique games," in APPROX-RANDOM, 2010, pp. 298-311.
    • (2010) APPROX-RANDOM , pp. 298-311
    • Khot, S.1    Popat, P.2    Saket, R.3
  • 22
    • 77952358829 scopus 로고    scopus 로고
    • 1-embeddability
    • 1-embeddability," in FOCS, 2009, pp. 565-574.
    • (2009) FOCS , pp. 565-574
    • Khot, S.1    Saket, R.2
  • 24
    • 77955252299 scopus 로고    scopus 로고
    • Spectral algorithms for unique games
    • A. Kolla, "Spectral algorithms for unique games," in IEEE CCC, 2010, pp. 122-130.
    • (2010) IEEE CCC , pp. 122-130
    • Kolla, A.1
  • 25
    • 78751525572 scopus 로고    scopus 로고
    • unpublished manuscript available from the authors'webpages, to appear in journal version of [4]
    • A. Kolla and M. Tulsiani, "Playing random and expanding unique games," 2007, unpublished manuscript available from the authors'webpages, to appear in journal version of [4].
    • (2007) Playing Random and Expanding Unique Games
    • Kolla, A.1    Tulsiani, M.2
  • 26
    • 0035238864 scopus 로고    scopus 로고
    • Global optimization with polynomials and the problem of moments
    • J. B. Lasserre, "Global optimization with polynomials and the problem of moments," SIAM Journal on Optimization, vol. 11, no. 3, pp. 796-817, 2001.
    • (2001) SIAM Journal on Optimization , vol.11 , Issue.3 , pp. 796-817
    • Lasserre, J.B.1
  • 27
    • 0141517272 scopus 로고    scopus 로고
    • A comparison of the sheraliadams, lovász-schrijver, and lasserre relaxations for 0-1 programming
    • M. Laurent, "A comparison of the sheraliadams, lovász- schrijver, and lasserre relaxations for 0-1 programming," Math. Oper. Res., vol. 28, no. 3, pp. 470-496, 2003.
    • (2003) Math. Oper. Res. , vol.28 , Issue.3 , pp. 470-496
    • Laurent, M.1
  • 28
    • 0001154274 scopus 로고
    • Cones of matrices and set-functions and 0-1 optimization
    • L. Lovász and A. Schrijver, "Cones of matrices and set-functions and 0-1 optimization," SIAM J. Optim., vol. 1, no. 2, pp. 166-190, 1991.
    • (1991) SIAM J. Optim. , vol.1 , Issue.2 , pp. 166-190
    • Lovász, L.1    Schrijver, A.2
  • 29
    • 33748602908 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," in FOCS, 2005, pp. 21-30.
    • (2005) FOCS , pp. 21-30
    • Mossel, E.1    O'Donnell, R.2    Oleszkiewicz, K.3
  • 30
    • 51849168818 scopus 로고    scopus 로고
    • Optimal algorithms and inapproximability results for every CSP?
    • P. Raghavendra, "Optimal algorithms and inapproximability results for every CSP?" in STOC, 2008, pp. 245-254.
    • (2008) STOC , pp. 245-254
    • Raghavendra, P.1
  • 31
    • 77952391057 scopus 로고    scopus 로고
    • Integrality gaps for strong SDP relaxations of unique games
    • P. Raghavendra and D. Steurer, "Integrality gaps for strong SDP relaxations of unique games," in FOCS, 2009, pp. 575-585.
    • (2009) FOCS , pp. 575-585
    • Raghavendra, P.1    Steurer, D.2
  • 32
    • 57949101640 scopus 로고    scopus 로고
    • Linear level Lasserre lower bounds for certain k-CSPs
    • G. Schoenebeck, "Linear level Lasserre lower bounds for certain k-CSPs," in FOCS, 2008, pp. 593-602.
    • (2008) FOCS , pp. 593-602
    • Schoenebeck, G.1
  • 33
    • 34748889089 scopus 로고    scopus 로고
    • A linear round lower bound for lovaszschrijver sdp relaxations of vertex cover
    • G. Schoenebeck, L. Trevisan, and M. Tulsiani, "A linear round lower bound for lovaszschrijver sdp relaxations of vertex cover," in IEEE CCC, 2007, pp. 205-216.
    • IEEE CCC, 2007 , pp. 205-216
    • Schoenebeck, G.1    Trevisan, L.2    Tulsiani, M.3
  • 34
    • 0001321687 scopus 로고
    • A hierarchy of relaxations between the continuous and convex hull representations for zero-one programming problems
    • H. D. Sherali and W. P. Adams, "A hierarchy of relaxations between the continuous and convex hull representations for zero-one programming problems," SIAM J. Discrete Math., vol. 3, no. 3, pp. 411-430, 1990.
    • (1990) SIAM J. Discrete Math. , vol.3 , Issue.3 , pp. 411-430
    • Sherali, H.D.1    Adams, W.P.2
  • 36
    • 70350671703 scopus 로고    scopus 로고
    • CSP gaps and reductions in the Lasserre hierarchy
    • M. Tulsiani, "CSP gaps and reductions in the Lasserre hierarchy," in STOC, 2009, pp. 303-312.
    • (2009) STOC , pp. 303-312
    • Tulsiani, M.1


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