-
1
-
-
0038166193
-
Database-friendly random projections: Johnson-lindenstrauss with binary coins
-
Special issue on PODS 2001 Santa Barbara, CA. MR2005771 2004h:68027
-
D. Achlioptas. Database-friendly random projections: Johnson- Lindenstrauss with binary coins. J. Comput. System Sci., 66(4):671-687, 2003. Special issue on PODS 2001 (Santa Barbara, CA). MR2005771 (2004h:68027)
-
(2003)
J. Comput. System Sci.
, vol.66
, Issue.4
, pp. 671-687
-
-
Achlioptas, D.1
-
2
-
-
0025563972
-
Approximation through multicommodity flow
-
IEEE Computer Soc, Los Alamitos, CA, 1990. MR1150728 92j:90031
-
A. Agrawal, P. Klein, R. Ravi, and S. Rao. Approximation through multicommodity flow. In 31st Annual Symposium on Foundations of Computer Science, pages 726-737. IEEE Computer Soc, Los Alamitos, CA, 1990. MR1150728 (92j:90031)
-
31st Annual Symposium on Foundations of Computer Science
, pp. 726-737
-
-
Agrawal, A.1
Klein, P.2
Ravi, R.3
Rao, S.4
-
5
-
-
4544250512
-
Expander flows, geometric embeddings, and graph partitionings
-
In, MR2121604 2005j:68081
-
S. Arora, S. Rao, and U. Vazirani. Expander flows, geometric embeddings, and graph partitionings. In 36th Annual Symposium on the Theory of Computing, pages 222-231, 2004. MR2121604 (2005j:68081)
-
(2004)
36th Annual Symposium on the Theory of Computing
, pp. 222-231
-
-
Arora, S.1
Rao, S.2
Vazirani, U.3
-
6
-
-
0000927271
-
An O(log k) approximate min-cut max-flow theorem and approximation algorithm
-
PII S0097539794285983
-
Y. Aumann and Y. Rabani. An O (log k) approximate min-cut max-flow theorem and approximation algorithm. SIAM J. Comput., 27(1):291-301 (electronic), 1998. MR1614825 (99d:05078) (Pubitemid 128596829)
-
(1998)
SIAM Journal on Computing
, vol.27
, Issue.1
, pp. 291-301
-
-
Aumann, Y.1
Rabani, Y.2
-
7
-
-
0030393774
-
Probabilistic approximations of metric space and its algorithmic application
-
In, Oct, MR1450616
-
Y. Bartal. Probabilistic approximations of metric space and its algorithmic application. In 37th Annual Symposium on Foundations of Computer Science, pages 183-193, Oct. 1996. MR1450616
-
(1996)
37th Annual Symposium on Foundations of Computer Science
, pp. 183-193
-
-
Bartal, Y.1
-
8
-
-
51249178997
-
On lipschitz embedding of finite metric spaces in hilbert space
-
MR815600 87b:46017
-
J. Bourgain. On Lipschitz embedding of finite metric spaces in Hilbert space. Israel J. Math., 52(1-2):46-52, 1985. MR815600 (87b:46017)
-
(1985)
Israel J. Math.
, vol.52
, Issue.1-2
, pp. 46-52
-
-
Bourgain, J.1
-
10
-
-
33748111924
-
Approximation algorithms for the 0-extension problem
-
In, Philadelphia, PA, MR1958386
-
G. Calinescu, H. Karloff, and Y. Rabani. Approximation algorithms for the 0-extension problem. In Proceedings of the 12th Annual ACM-SIAM Symposium on Discrete Algorithms, pages 8-16, Philadelphia, PA, 2001. MR1958386
-
(2001)
Proceedings of the 12th Annual ACM-SIAM Symposium on Discrete Algorithms
, pp. 8-16
-
-
Calinescu, G.1
Karloff, H.2
Rabani, Y.3
-
11
-
-
20744432321
-
Embeddings of negative-type metrics and an improved approximation to generalized sparsest cut
-
Proceedings of the Sixteenth Annual ACM-SIAM Symposium on Discrete Algorithms
-
S. Chawla, A. Gupta, and H. Räcke. Embeddings of negative-type metrics and an improved approximation to generalized sparsest cut. In Proceedings of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms, pages 102-111, Vancouver, 2005. (Pubitemid 40851362)
-
(2005)
Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms
, pp. 102-111
-
-
Chawla, S.1
Gupta, A.2
Racke, H.3
-
13
-
-
0004258567
-
-
of Algorithms and Combinatorics. Springer-Verlag, Berlin, MR1460488 98g:52001
-
M. M. Deza and M. Laurent. Geometry of cuts and metrics, volume 15 of Algorithms and Combinatorics. Springer-Verlag, Berlin, 1997. MR1460488 (98g:52001)
-
(1997)
Geometry of Cuts and Metrics
, vol.15
-
-
Deza, M.M.1
Laurent, M.2
-
14
-
-
51249190200
-
p-spaces
-
MR0271719 42:6600
-
p-spaces. Ark. Mat., 8:103-105, 1969. MR0271719 (42:6600)
-
(1969)
Ark. Mat.
, vol.8
, pp. 103-105
-
-
Enflo, P.1
-
16
-
-
0002649030
-
The dimension of almost spherical sections of convex bodies
-
MR0445274 56:3618
-
T. Figiel, J. Lindenstrauss, and V. D. Milman. The dimension of almost spherical sections of convex bodies. Acta Math., 139(1-2):53-94, 1977. MR0445274 (56:3618)
-
(1977)
Acta Math.
, vol.139
, Issue.1-2
, pp. 53-94
-
-
Figiel, T.1
Lindenstrauss, J.2
Milman, V.D.3
-
17
-
-
0000457427
-
Semidefinite programming and combinatorial optimization
-
MR1464765 98g:90028
-
M. X. Goemans. Semidefinite programming and combinatorial optimization. Mathematical Programming, 49:143-161, 1997. MR1464765 (98g:90028)
-
(1997)
Mathematical Programming
, vol.49
, pp. 143-161
-
-
Goemans, M.X.1
-
18
-
-
51249185617
-
The ellipsoid method and its consequences in combinatorial optimization
-
MR625550 84a:90044
-
M. Grötschel, L. L. Lovász, and A. Schrijver. The ellipsoid method and its consequences in combinatorial optimization. Combinatorica, 1:169-197, 1981. MR625550 (84a:90044)
-
(1981)
Combinatorica
, vol.1
, pp. 169-197
-
-
Grötschel, M.1
Lovász, L.L.2
Schrijver, A.3
-
19
-
-
0004120019
-
-
Universitext. Springer-Verlag, New York, MR1800917 2002c:30028
-
J. Heinonen. Lectures on analysis on metric spaces. Universitext. Springer-Verlag, New York, 2001. MR1800917 (2002c:30028)
-
(2001)
Lectures on Analysis on Metric Spaces
-
-
Heinonen, J.1
-
20
-
-
0001654702
-
Extensions of lipschitz mappings into a hilbert space
-
In, Amer. Math. Soc, Providence, RI, MR737400 86a:46018
-
W. B. Johnson and J. Lindenstrauss. Extensions of Lipschitz mappings into a Hilbert space. In Conference in modern analysis and probability (New Haven, Conn., 1982), pages 189-206. Amer. Math. Soc, Providence, RI, 1984. MR737400 (86a:46018)
-
(1984)
Conference in Modern Analysis and Probability (New Haven, Conn., 1982)
, pp. 189-206
-
-
Johnson, W.B.1
Lindenstrauss, J.2
-
21
-
-
33748613486
-
1
-
DOI 10.1109/SFCS.2005.74, 1530701, Proceedings - 46th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2005
-
1. In Proceedings of the 46th Annual IEEE Conference on Foundations of Computer Science, pages 53-62, 2005. (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
-
22
-
-
26844509176
-
Measured descent: A new embedding method for finite metrics
-
DOI 10.1007/s00039-005-0527-6
-
R. Krauthgamer, J. R. Lee, M. Mendel, and A. Naor. Measured descent: a new embedding method for finite metrics. Geom. Funct. Anal., 15(4):839-858, 2005. MR2221152 (2007f:68249) (Pubitemid 41456205)
-
(2005)
Geometric and Functional Analysis
, vol.15
, Issue.4
, pp. 839-858
-
-
Krauthgamer, R.1
Lee, J.R.2
Mendel, M.3
Naor, A.4
-
24
-
-
20744434108
-
On distance scales, embeddings, and efficient relaxations of the cut cone
-
In, Vancouver, Available at
-
J. R. Lee. On distance scales, embeddings, and efficient relaxations of the cut cone. In Proceedings of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms, pages 92-101, Vancouver, 2005. Available at http://www.cs. washington. edu/homes/jrl/papers/soda05-full.pdf.
-
(2005)
Proceedings of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms
, pp. 92-101
-
-
Lee, J.R.1
-
25
-
-
23944474318
-
1: Dimension, snowflakes, and average distortion
-
DOI 10.1016/j.ejc.2004.07.002, PII S0195669804001180
-
1: dimension, snowflakes, and average distortion. European J. Combin., 26(8):1180-1190, 2005. MR2163751 (2006g:46012) (Pubitemid 41200285)
-
(2005)
European Journal of Combinatorics
, vol.26
, Issue.8
, pp. 1180-1190
-
-
Lee, J.R.1
Mendel, M.2
Naor, A.3
-
27
-
-
15544369683
-
Extending Lipschitz functions via random metric partitions
-
DOI 10.1007/s00222-004-0400-5
-
J. R. Lee and A. Naor. Extending Lipschitz functions via random metric partitions. Invent. Math., 160(1):59-95, 2005. MR2129708 (2006c:54013) (Pubitemid 40404736)
-
(2005)
Inventiones Mathematicae
, vol.160
, Issue.1
, pp. 59-95
-
-
Lee, J.R.1
Naor, A.2
-
28
-
-
0000651166
-
Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms
-
MR1753034 2001e:05125
-
T. Leighton and S. Rao. Multicommodity max-flow min-cut theorems and their use in designing approximation algorithms. J. ACM, 46(6):787-832, 1999. MR1753034 (2001e:05125)
-
(1999)
J. ACM
, vol.46
, Issue.6
, pp. 787-832
-
-
Leighton, T.1
Rao, S.2
-
29
-
-
0000652415
-
The geometry of graphs and some of its algorithmic applications
-
MR1337355 96e:05158
-
N. Linial, E. London, and Y. Rabinovich. The geometry of graphs and some of its algorithmic applications. Combinatorica, 15(2):215-245, 1995. MR1337355 (96e:05158)
-
(1995)
Combinatorica
, vol.15
, Issue.2
, pp. 215-245
-
-
Linial, N.1
London, E.2
Rabinovich, Y.3
-
30
-
-
0001743842
-
Low diameter graph decompositions
-
MR1262920 95d:05123
-
N. Linial and M. Saks. Low diameter graph decompositions. Combinatorica, 13(4):441-454, 1993. MR1262920 (95d:05123)
-
(1993)
Combinatorica
, vol.13
, Issue.4
, pp. 441-454
-
-
Linial, N.1
Saks, M.2
-
31
-
-
0003993744
-
-
of Graduate Texts in Mathematics. Springer-Verlag, New York, MR1899299 2003f:52011
-
J. Matoušek. Lectures on discrete geometry, volume 212 of Graduate Texts in Mathematics. Springer-Verlag, New York, 2002. MR1899299 (2003f:52011)
-
(2002)
Lectures on Discrete Geometry
, vol.212
-
-
Matoušek, J.1
-
32
-
-
0025415365
-
The maximum concurrent flow problem
-
MR1072261 91j:90029
-
D. W. Matula and F. Shahrokhi. The maximum concurrent flow problem. J. ACM, 37(2):318-334, 1990. MR1072261 (91j:90029)
-
(1990)
J. ACM
, vol.37
, Issue.2
, pp. 318-334
-
-
Matula, D.W.1
Shahrokhi, F.2
-
33
-
-
4344706090
-
Euclidean quotients of finite metric spaces
-
DOI 10.1016/j.aim.2003.12.001, PII S0001870804000295
-
M. Mendel and A. Naor. Euclidean quotients of finite metric spaces. Adv. Math., 189(2):451-494, 2004. MR2101227 (2005h:54031) (Pubitemid 39483202)
-
(2004)
Advances in Mathematics
, vol.189
, Issue.2
, pp. 451-494
-
-
Mendel, M.1
Naor, A.2
-
34
-
-
0003656879
-
-
of Lecture Notes in Mathematics. Springer-Verlag, Berlin, With an appendix by M. Gromov. MR856576 87m:46038
-
V. D. Milman and G. Schechtman. Asymptotic theory of finite-dimensional normed spaces, volume 1200 of Lecture Notes in Mathematics. Springer-Verlag, Berlin, 1986. With an appendix by M. Gromov. MR856576 (87m:46038)
-
(1986)
Asymptotic Theory of Finite-dimensional Normed Spaces
, vol.1200
-
-
Milman, V.D.1
Schechtman, G.2
-
35
-
-
33746865347
-
Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces
-
DOI 10.1215/S0012-7094-06-13415-4
-
A. Naor, Y. Peres, O. Schramm, and S. Sheffield. Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces. Duke Math. J., 134(1):165-197, 2006. MR2239346 (Pubitemid 44196493)
-
(2006)
Duke Mathematical Journal
, vol.134
, Issue.1
, pp. 165-197
-
-
Naor, A.1
Peres, Y.2
Schramm, O.3
Sheffield, S.4
-
36
-
-
25444434660
-
Quasisymmetric embeddings, the observable diameter, and expansion properties of graphs
-
DOI 10.1016/j.jfa.2005.04.003, PII S0022123605001588
-
A. Naor, Y. Rabani, and A. Sinclair. Quasisymmetric embeddings, the observable diameter, and expansion properties of graphs. J. Funct. Anal., 227(2):273-303, 2005. MR2168076 (2006j:68092) (Pubitemid 41363992)
-
(2005)
Journal of Functional Analysis
, vol.227
, Issue.2
, pp. 273-303
-
-
Naor, A.1
Rabani, Y.2
Sinclair, A.3
-
38
-
-
0032680556
-
Small distortion and volume preserving embeddings for planar and euclidean metrics
-
In, New York, MR1802217
-
S. Rao. Small distortion and volume preserving embeddings for planar and Euclidean metrics. In Proceedings of the 15th Annual Symposium on Computational Geometry, pages 300-306, New York, 1999. MR1802217
-
(1999)
Proceedings of the 15th Annual Symposium on Computational Geometry
, pp. 300-306
-
-
Rao, S.1
-
39
-
-
0002265812
-
Cut problems and their application to divide-and-conquer
-
D. S. Hochbaum, ed., PWS
-
D. B. Shmoys. Cut problems and their application to divide-and-conquer. In Approximation Algorithms for NP-hard Problems (D. S. Hochbaum, ed.), pages 192-235. PWS, 1997.
-
(1997)
Approximation Algorithms for NP-hard Problems
, pp. 192-235
-
-
Shmoys, D.B.1
-
40
-
-
0003422462
-
-
Springer-Verlag, Berlin, MR1851303 2002h:68001
-
V. V. Vazirani. Approximation algorithms. Springer-Verlag, Berlin, 2001. MR1851303 (2002h:68001)
-
(2001)
Approximation Algorithms
-
-
Vazirani, V.V.1
|