-
1
-
-
34848876396
-
Towards strong nonapproximability results in the Lovasz-Schrijver hierarchy
-
DOI 10.1145/1060590.1060634, STOC'05: Proceedings of the 37th Annual ACM Symposium on Theory of Computing
-
M. ALEKHNOVICH, S. ARORA, AND I. TOURLAKIS, Towards strong nonapproximability results in the Lovász-Schrijver hierarchy, in Proceedings of the 37th Annual ACM Symposium on Theory of Computing, H. N. Gabow and R. Fagin, eds., ACM Press, New York, 2005, pp. 294-303. (Pubitemid 43098599)
-
(2005)
Proceedings of the Annual ACM Symposium on Theory of Computing
, pp. 294-303
-
-
Alekhnovich, M.1
Arora, S.2
Tourlakis, I.3
-
2
-
-
0001262835
-
Approximating the independence number via the theta-function
-
N. ALON AND N. KAHALE, Approximating the independence number via the theta-function, Math. Program., 80 (1998), pp. 253-264.
-
(1998)
Math. Program.
, vol.80
, pp. 253-264
-
-
Alon, N.1
Kahale, N.2
-
3
-
-
34247587417
-
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 Comput., 2 (2006), pp. 19-51.
-
(2006)
Theory Comput.
, vol.2
, pp. 19-51
-
-
Arora, S.1
Bollobás, B.2
Lovász, L.3
Tourlakis, I.4
-
4
-
-
70349970181
-
Expander flows, geometric embeddings and graph partitioning
-
S. ARORA, S. RAO, AND U. VAZIRANI, Expander flows, geometric embeddings and graph partitioning, J. ACM, 56 (2009), pp. 1-37.
-
(2009)
J. ACM
, vol.56
, pp. 1-37
-
-
Arora, S.1
Rao, S.2
Vazirani, U.3
-
5
-
-
85042391509
-
Rank bounds and integrality gaps for cutting planes procedures
-
J. BURESH-OPPENHEIM, N. GALESI, S. HOORY, A. MAGEN, AND T. PITASSI, Rank bounds and integrality gaps for cutting planes procedures, Theory Comput., 2 (2006), pp. 65-90.
-
(2006)
Theory Comput.
, vol.2
, pp. 65-90
-
-
Buresh-Oppenheim, J.1
Galesi, N.2
Hoory, S.3
Magen, A.4
Pitassi, T.5
-
7
-
-
70350671702
-
Integrality gaps for Sherali-Adams relaxations
-
New York
-
M. CHARIKAR, K. MAKARYCHEV, AND Y. MAKARYCHEV, Integrality gaps for Sherali-Adams relaxations, in Proceedings of the 41st Annual ACM Symposium on Theory of Computing, New York, 2009, pp. 283-292.
-
(2009)
Proceedings of the 41st Annual ACM Symposium on Theory of Computing
, pp. 283-292
-
-
Charikar, M.1
Makarychev, K.2
Makarychev, Y.3
-
8
-
-
29844440416
-
On the hardness of approximating minimum vertex cover
-
I. DINUR AND S. SAFRA, On the hardness of approximating minimum vertex cover, Ann. Of Math. (2), 162 (2005), pp. 439-486.
-
(2005)
Ann. of Math.
, vol.162
, Issue.2
, pp. 439-486
-
-
Dinur, I.1
Safra, S.2
-
9
-
-
0030100766
-
Interactive proofs and the hardness of approximating cliques
-
U. FEIGE, S. GOLDWASSER, L. LOVÁSZ, S. SAFRA, AND M. SZEGEDY, Interactive proofs and the hardness of approximating cliques, J. ACM, 43 (1996), pp. 268-292.
-
(1996)
J. ACM
, vol.43
, pp. 268-292
-
-
Feige, U.1
Goldwasser, S.2
Lovász, L.3
Safra, S.4
Szegedy, M.5
-
11
-
-
45749116966
-
Vertex cover resists SDPs tightened by local hypermetric inequalities
-
Proceedings of the 13th International Conference on Integer Programming and Combinatorial Optimization, A. Lodi, A. Panconesi, and G. Rinaldi, eds., Springer, Berlin
-
K. GEORGIOU, A. MAGEN, AND I. TOURLAKIS, Vertex cover resists SDPs tightened by local hypermetric inequalities, in Proceedings of the 13th International Conference on Integer Programming and Combinatorial Optimization, Lecture Notes in Comput. Sci. 5035, A. Lodi, A. Panconesi, and G. Rinaldi, eds., Springer, Berlin, 2008, pp. 140-153.
-
(2008)
Lecture Notes in Comput. Sci.
, vol.5035
, pp. 140-153
-
-
Georgiou, K.1
Magen, A.2
Tourlakis, I.3
-
12
-
-
78751565088
-
On the tightening of the standard SDP for vertex cover with ℓ1 inequalities
-
R. Kannan and K. N. Kumar, eds., Proceedings of the 29th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, Dagstuhl, Germany
-
K. GEORGIOU, A. MAGEN, AND I. TOURLAKIS, On the tightening of the standard SDP for vertex cover with ℓ1 inequalities, in Proceedings of the 29th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, R. Kannan and K. N. Kumar, eds., Leibniz International Proceedings in Informatics (LIPIcs) 4, Dagstuhl, Germany, 2009, pp. 203-214.
-
(2009)
Leibniz International Proceedings in Informatics (LIPIcs)
, vol.4
, pp. 203-214
-
-
Georgiou, K.1
Magen, A.2
Tourlakis, I.3
-
13
-
-
0011190325
-
The Lovász theta function and a semidefinite programming relaxation of vertex cover
-
M. X. GOEMANS AND J. KLEINBERG, The Lovász theta function and a semidefinite programming relaxation of vertex cover, SIAM J. Discrete Math., 11 (1998), pp. 196-204.
-
(1998)
SIAM J. Discrete Math.
, vol.11
, pp. 196-204
-
-
Goemans, M.X.1
Kleinberg, J.2
-
14
-
-
84893574327
-
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, 42 (1995), pp. 1115-1145.
-
(1995)
J. ACM
, vol.42
, pp. 1115-1145
-
-
Goemans, M.X.1
Williamson, D.P.2
-
15
-
-
0036588838
-
Improved approximation algorithms for the vertex cover problem in graphs and hypergraphs
-
E. HALPERIN, Improved approximation algorithms for the vertex cover problem in graphs and hypergraphs, SIAM J. Comput., 31 (2002), pp. 1608-1623.
-
(2002)
SIAM J. Comput.
, vol.31
, pp. 1608-1623
-
-
Halperin, E.1
-
16
-
-
38049045007
-
Integrality gaps of semidefinite programs for vertex cover and relations to ℓ1 embeddability of negative type metrics
-
Proceedings of the 10th International Workshop on Approximation and the 11th International Workshop on Randomization, and Combinatorial Optimization, Algorithms and Techniques, M. Charikar, K. Jansen, O. Reingold, and J. D. P. Rolim, eds., Springer, Berlin
-
H. HATAMI, A. MAGEN, AND E. MARKAKIS, Integrality gaps of semidefinite programs for vertex cover and relations to ℓ1 embeddability of negative type metrics, in Proceedings of the 10th International Workshop on Approximation and the 11th International Workshop on Randomization, and Combinatorial Optimization, Algorithms and Techniques, Lecture Notes in Comput. Sci. 4627, M. Charikar, K. Jansen, O. Reingold, and J. D. P. Rolim, eds., Springer, Berlin, 2007, pp. 164-179.
-
(2007)
Lecture Notes in Comput. Sci.
, vol.4627
, pp. 164-179
-
-
Hatami, H.1
Magen, A.2
Markakis, E.3
-
17
-
-
84967774552
-
A counterexample to Borsuk's conjecture
-
J. KAHN AND G. KALAI, A counterexample to Borsuk's conjecture, Bull. Amer. Math. Soc. (N.S.), 29 (1993), pp. 60-62.
-
(1993)
Bull. Amer. Math. Soc. (N.S.)
, vol.29
, pp. 60-62
-
-
Kahn, J.1
Kalai, G.2
-
18
-
-
76649088030
-
A better approximation ratio for the vertex cover problem
-
G. KARAKOSTAS, A better approximation ratio for the vertex cover problem, ACM Trans. Algorithms, 5 (2009), pp. 1-8.
-
(2009)
ACM Trans. Algorithms
, vol.5
, pp. 1-8
-
-
Karakostas, G.1
-
20
-
-
38149105774
-
Vertex cover might be hard to approximate to within 2-ε
-
S. KHOT AND O. REGEV, Vertex cover might be hard to approximate to within 2-ε, 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
-
21
-
-
39649093787
-
An explicit exact SDP relaxation for nonlinear 0-1 programs
-
Proceedings of the 8th International Conference on Integer Programming and Combinatorial Optimization, Springer, Berlin
-
J. B. LASSERRE, An explicit exact SDP relaxation for nonlinear 0-1 programs, in Proceedings of the 8th International Conference on Integer Programming and Combinatorial Optimization, Lecture Notes in Comput. Sci. 2081, Springer, Berlin, 2001, pp. 293-303.
-
(2001)
Lecture Notes in Comput. Sci.
, vol.2081
, pp. 293-303
-
-
Lasserre, J.B.1
-
22
-
-
0018292109
-
On the Shannon capacity of a graph
-
L. LOVÁSZ, On the Shannon capacity of a graph, IEEE Trans. Inform. Theory, 25 (1979), pp. 1-7.
-
(1979)
IEEE Trans. Inform. Theory
, vol.25
, pp. 1-7
-
-
Lovász, L.1
-
23
-
-
30744463727
-
Semidefinite programs and combinatorial optimization
-
Recent Advances in Algorithms and Combinatorics, B. A. Reed and C. L. Sales, eds., Springer, Berlin
-
L. LOVÁSZ, Semidefinite programs and combinatorial optimization, in Recent Advances in Algorithms and Combinatorics, B. A. Reed and C. L. Sales, eds., CMS Books Math. Ouvrages Math. SMC 11, Springer, Berlin, 2003, pp. 137-194.
-
(2003)
CMS Books Math. Ouvrages Math. SMC
, vol.11
, pp. 137-194
-
-
Lovász, L.1
-
24
-
-
0001154274
-
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., 1 (1991), pp. 166-190.
-
(1991)
SIAM J. Optim.
, vol.1
, pp. 166-190
-
-
Lovász, L.1
Schrijver, A.2
-
26
-
-
34748889089
-
A linear round lower bound for Lovász-Schrijver SDP relaxations of vertex cover
-
G. SCHOENEBECK, L. TREVISAN, AND M. TULSIANI, A linear round lower bound for Lovász-Schrijver SDP relaxations of vertex cover, in Proceedings of the 22nd Annual IEEE Conference on Computational Complexity, 2007, pp. 205-216.
-
(2007)
Proceedings of the 22nd Annual IEEE Conference on Computational Complexity
, pp. 205-216
-
-
Schoenebeck, G.1
Trevisan, L.2
Tulsiani, M.3
-
27
-
-
35448986947
-
Tight integrality gaps for Lovász-Schrijver LP relaxations of vertex cover and Max Cut
-
David S. Johnson and Uriel Feige, eds., ACM Press, New York
-
G. SCHOENEBECK, L. TREVISAN, AND M. TULSIANI, Tight integrality gaps for Lovász-Schrijver LP relaxations of vertex cover and Max Cut, in Proceedings of the 39th Annual ACM Symposium on Theory of Computing, David S. Johnson and Uriel Feige, eds., ACM Press, New York, 2007, pp. 302-310.
-
(2007)
Proceedings of the 39th Annual ACM Symposium on Theory of Computing
, pp. 302-310
-
-
Schoenebeck, G.1
Trevisan, L.2
Tulsiani, M.3
|