-
1
-
-
0002032349
-
Coloring 2-colorable hypergraphs with a sublinear number of colors
-
N. Alon, P. Kelsen, S. Mahajan, and H. Ramesh, Coloring 2-colorable hypergraphs with a sublinear number of colors, Nordic J. Comput., 3 (1996), pp. 425-439.
-
(1996)
Nordic J. Comput.
, vol.3
, pp. 425-439
-
-
Alon, N.1
Kelsen, P.2
Mahajan, S.3
Ramesh, H.4
-
2
-
-
0031119485
-
The hardness of approximate optima in lattices, codes, and systems of linear equations
-
S. Arora, L. Babai, J. Stern, and Z. Sweedyk, The hardness of approximate optima in lattices, codes, and systems of linear equations, J. Comput. System Sci., 54 (1997), pp. 317-331.
-
(1997)
J. Comput. System Sci.
, vol.54
, pp. 317-331
-
-
Arora, S.1
Babai, L.2
Stern, J.3
Sweedyk, Z.4
-
3
-
-
0002019995
-
Hardness of approximations
-
Dorit Hochbaum, ed., PWS Publishing, Boston
-
S. Arora and C. Lund, Hardness of approximations, in Approximation Algorithms for NP-Hard Problems, Dorit Hochbaum, ed., PWS Publishing, Boston, 1996.
-
(1996)
Approximation Algorithms for NP-Hard Problems
-
-
Arora, S.1
Lund, C.2
-
4
-
-
0032058198
-
Proof verification and hardness of approximation problems
-
S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy, Proof verification and hardness of approximation problems, J. ACM, 45 (1998), pp. 501-555.
-
(1998)
J. ACM
, vol.45
, pp. 501-555
-
-
Arora, S.1
Lund, C.2
Motwani, R.3
Sudan, M.4
Szegedy, M.5
-
5
-
-
0031651077
-
Probabilistic checking of proofs: A new characterization of NP
-
S. Arora and S. Safra, Probabilistic checking of proofs: A new characterization of NP, J. ACM, 45 (1998), pp. 70-122.
-
(1998)
J. ACM
, vol.45
, pp. 70-122
-
-
Arora, S.1
Safra, S.2
-
6
-
-
0001342117
-
On 3-chromatic hypergraphs
-
J. Beck, On 3-chromatic hypergraphs, Discrete Math., 24 (1978), pp. 127-137.
-
(1978)
Discrete Math.
, vol.24
, pp. 127-137
-
-
Beck, J.1
-
7
-
-
84990637859
-
An algorithmic approach to the Lovász local lemma
-
J. Beck, An algorithmic approach to the Lovász local lemma, Random Structures Algorithms, 2 (1991), pp. 343-365.
-
(1991)
Random Structures Algorithms
, vol.2
, pp. 343-365
-
-
Beck, J.1
-
8
-
-
0542423500
-
Free bits, PCPs, and nonapproximability-towards tight results
-
M. Bellare, O. Goldreich, and M. Sudan, Free bits, PCPs, and nonapproximability-towards tight results, SIAM J. Comput., 27 (1998), pp. 804-915.
-
(1998)
SIAM J. Comput.
, vol.27
, pp. 804-915
-
-
Bellare, M.1
Goldreich, O.2
Sudan, M.3
-
9
-
-
0030737372
-
Improved approximation for graph coloring
-
A. Blum and D. R. Karger, Improved approximation for graph coloring. Inform. Process. Lett., 61 (1997), pp. 49-53.
-
(1997)
Inform. Process. Lett.
, vol.61
, pp. 49-53
-
-
Blum, A.1
Karger, D.R.2
-
10
-
-
79959364175
-
Coloring bipartite hypergraphs
-
Springer-Verlag, New York
-
H. Chen and A. Frieze, Coloring bipartite hypergraphs, in Proceedings of the 5th IPCO, Lecture Notes in Comput. Sci. 1084, Springer-Verlag, New York, 1996, pp. 345-358.
-
(1996)
Proceedings of the 5th IPCO, Lecture Notes in Comput. Sci. 1084
, pp. 345-358
-
-
Chen, H.1
Frieze, A.2
-
11
-
-
0012716577
-
On a combinatorial problem
-
P. Erdös, On a combinatorial problem, Nordisk Mat. Tidskr., 11 (1963), pp. 5-10.
-
(1963)
Nordisk Mat. Tidskr.
, vol.11
, pp. 5-10
-
-
Erdös, P.1
-
12
-
-
0032178928
-
Zero-knowledge and the chromatic number
-
U. Feige and J. Kilian, Zero-knowledge and the chromatic number, J. Comput. System Sci., 57 (1998), pp. 187-199.
-
(1998)
J. Comput. System Sci.
, vol.57
, pp. 187-199
-
-
Feige, U.1
Kilian, J.2
-
13
-
-
84893574327
-
Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
-
M. Goemans and D. 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.1
Williamson, D.2
-
14
-
-
84937416189
-
Inapproximability results for set splitting and satisfiability problems with no mixed clauses
-
Springer-Verlag, Berlin; Algorithmica, to appear
-
V. Guruswami, Inapproximability results for set splitting and satisfiability problems with no mixed clauses, in Approximation Algorithms for Combinatorial Optimization, Lecture Notes in Comput. Sci. 1913, Springer-Verlag, Berlin, 2000, pp. 155-166; Algorithmica, to appear.
-
(2000)
Approximation Algorithms for Combinatorial Optimization, Lecture Notes in Comput. Sci. 1913
, pp. 155-166
-
-
Guruswami, V.1
-
15
-
-
0034504709
-
Hardness of approximate hypergraph coloring
-
V. Guruswami, J. Håstad, and M. Sudan, Hardness of approximate hypergraph coloring. in Proceedings of 41st Annual IEEE Symposium on Foundations of Computer Science, Redondo Beach, CA, 2000, pp. 149-158.
-
Proceedings of 41st Annual IEEE Symposium on Foundations of Computer Science, Redondo Beach, CA, 2000
, pp. 149-158
-
-
Guruswami, V.1
Håstad, J.2
Sudan, M.3
-
17
-
-
0000844603
-
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
-
-
0036039361
-
Vertex cover on 4-regular hyper-graphs is hard to approximate within (2 - ε)
-
J. Holmerin, Vertex cover on 4-regular hyper-graphs is hard to approximate within (2 - ε), in Proceedings of the 34th ACM Symposium on Theory of Computing, ACM, New York, 2002, pp. 544-552.
-
Proceedings of the 34th ACM Symposium on Theory of Computing, ACM, New York, 2002
, pp. 544-552
-
-
Holmerin, J.1
-
19
-
-
0032028848
-
Approximate graph coloring using semidefinite programming
-
D. R. Karger, R. Motwani, and M. Sudan, Approximate graph coloring using semidefinite programming, J. ACM, 45 (1998), pp. 246-265.
-
(1998)
J. ACM
, vol.45
, pp. 246-265
-
-
Karger, D.R.1
Motwani, R.2
Sudan, M.3
-
20
-
-
0039550370
-
On the hardness of approximating the chromatic number
-
S. Khanna, N. Linial, and S. Safra, On the hardness of approximating the chromatic number, Combinatorica, 20 (2000), pp. 393-415.
-
(2000)
Combinatorica
, vol.20
, pp. 393-415
-
-
Khanna, S.1
Linial, N.2
Safra, S.3
-
21
-
-
0036036762
-
Hardness results for approximate hypergraph coloring
-
S. Khot, Hardness results for approximate hypergraph coloring, in Proceedings of the 34th ACM Symposium on Theory of Computing, ACM, New York, 2002, pp. 351-359.
-
Proceedings of the 34th ACM Symposium on Theory of Computing, ACM, New York, 2002
, pp. 351-359
-
-
Khot, S.1
-
22
-
-
84896794671
-
Approximate coloring of uniform hypergraphs
-
Springer-Verlag, New York
-
M. Krivelevich and B. Sudakov, Approximate coloring of uniform hypergraphs, in Proceedings of the 6th European Symposium on Algorithms, Lecture Notes in Comput. Sci. 1461, Springer-Verlag, New York, 1998, pp. 477-489.
-
(1998)
Proceedings of the 6th European Symposium on Algorithms, Lecture Notes in Comput. Sci. 1461
, pp. 477-489
-
-
Krivelevich, M.1
Sudakov, B.2
-
23
-
-
0001879704
-
Coverings and colorings of hypergraphs
-
L. Lovász, Coverings and colorings of hypergraphs, in Proceedings of the 4th Southeastern Conference on Combinatories, Graph Theory, and Computing, Utilitas Mathematica Publishing, Winnipeg, 1973, pp. 3-12.
-
Proceedings of the 4th Southeastern Conference on Combinatorics, Graph Theory, and Computing, Utilitas Mathematica Publishing, Winnipeg, 1973
, pp. 3-12
-
-
Lovász, L.1
-
24
-
-
0028514351
-
On the hardness of approximating minimization problems
-
C. Lund and M. Yannakakis, On the hardness of approximating minimization problems, J. ACM, 41 (1994), pp. 960-981.
-
(1994)
J. ACM
, vol.41
, pp. 960-981
-
-
Lund, C.1
Yannakakis, M.2
-
25
-
-
84971790743
-
A random recoloring method for graphs and hypergraphs
-
C. McDiarmid, A random recoloring method for graphs and hypergraphs, Combin. Probab. Comput., 2 (1993), pp. 363-365.
-
(1993)
Combin. Probab. Comput.
, vol.2
, pp. 363-365
-
-
McDiarmid, C.1
-
26
-
-
0001448982
-
Hypergraph coloring and the Lovász local lemma
-
C. McDiarmid, Hypergraph coloring and the Lovász local lemma, Discrete Math., 167/168 (1997), pp. 481-486.
-
(1997)
Discrete Math.
, vol.167-168
, pp. 481-486
-
-
McDiarmid, C.1
-
28
-
-
0001226672
-
A parallel repetition theorem
-
R. Raz, A parallel repetition theorem, SIAM J. Comput., 27 (1998), pp. 763-803.
-
(1998)
SIAM J. Comput.
, vol.27
, pp. 763-803
-
-
Raz, R.1
-
29
-
-
0012636967
-
Coloring n-sets red and blue
-
J. H. Spencer, Coloring n-sets red and blue, J. Combin. Theory Ser. A, 30 (1981), pp. 112-113.
-
(1981)
J. Combin. Theory Ser. A
, vol.30
, pp. 112-113
-
-
Spencer, J.H.1
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