-
1
-
-
0029322754
-
When trees collide: An approximation algorithm for the generalized Steiner problem on networks
-
A. Agrawal, P. Klein, and R. Ravi. When trees collide: an approximation algorithm for the generalized Steiner problem on networks. SIAM Journal on Computing, 24(3): 440-456, 1995.
-
(1995)
SIAM Journal on Computing
, vol.24
, Issue.3
, pp. 440-456
-
-
Agrawal, A.1
Klein, P.2
Ravi, R.3
-
3
-
-
77952418184
-
Improved approximation algorithms for prize-collecting Steiner tree and TSP
-
A. Archer, M. Bateni, M. Hajiaghayi, and H. Karloff. Improved approximation algorithms for prize-collecting Steiner tree and TSP. In FOCS, pages 427-436, 2009.
-
(2009)
FOCS
, pp. 427-436
-
-
Archer, A.1
Bateni, M.2
Hajiaghayi, M.3
Karloff, H.4
-
4
-
-
0032156828
-
Polynomial Time Approximation Schemes for Euclidean Traveling Salesman and Other Geometric Problems
-
S. Arora. Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems. Journal of the ACM, 45(5):753-782, 1998. (Pubitemid 128497506)
-
(1998)
Journal of the ACM
, vol.45
, Issue.5
, pp. 753-782
-
-
Arora, S.1
-
5
-
-
0024735782
-
The Steiner problem with edge lengths 1 and 2
-
M. Bern and P. Plassmann. The Steiner problem with edge lengths 1 and 2. Information Processing Letters, 32(4):171-176, 1989.
-
(1989)
Information Processing Letters
, vol.32
, Issue.4
, pp. 171-176
-
-
Bern, M.1
Plassmann, P.2
-
6
-
-
0010252474
-
The k-Steiner ratio in graphs
-
A. Borchers and D. Du. The k-Steiner ratio in graphs. SIAM Journal on Computing, 26(3):857-869, 1997.
-
(1997)
SIAM Journal on Computing
, vol.26
, Issue.3
, pp. 857-869
-
-
Borchers, A.1
Du, D.2
-
7
-
-
84969151285
-
A polynomial-time approximation scheme for Steiner tree in planar graphs
-
G. Borradaile, C. Kenyon-Mathieu, and P. Klein. A polynomial-time approximation scheme for Steiner tree in planar graphs. In SODA, pages 1285-1294, 2007.
-
(2007)
SODA
, pp. 1285-1294
-
-
Borradaile, G.1
Kenyon-Mathieu, C.2
Klein, P.3
-
8
-
-
45749083426
-
New geometry-inspired relaxations and algorithms for the metric Steiner tree problem
-
D. Chakrabarty, N. R. Devanur, and V. V. Vazirani. New geometry-inspired relaxations and algorithms for the metric Steiner tree problem. In IPCO, pages 344-358, 2008.
-
(2008)
IPCO
, pp. 344-358
-
-
Chakrabarty, D.1
Devanur, N.R.2
Vazirani, V.V.3
-
9
-
-
24344486815
-
Improved combinatorial algorithms for facility location problems
-
DOI 10.1137/S0097539701398594
-
M. Charikar and S. Guha. Improved combinatorial algorithms for facility location problems. SIAM Journal on Computing, 34:803-824, 2005. (Pubitemid 41246994)
-
(2005)
SIAM Journal on Computing
, vol.34
, Issue.4
, pp. 803-824
-
-
Charikar, M.1
Guha, S.2
-
10
-
-
52149091914
-
The Steiner tree problem on graphs: Inapproximability results
-
M. Chlebík and J. Chlebíková. The Steiner tree problem on graphs: Inapproximability results. Theoretical Computer Science, 406(3):207-214, 2008.
-
(2008)
Theoretical Computer Science
, vol.406
, Issue.3
, pp. 207-214
-
-
Chlebík, M.1
Chlebíková, J.2
-
11
-
-
84981632113
-
The Steiner problem in graphs
-
S. E. Dreyfus and R. A. Wagner. The Steiner problem in graphs. Networks, 1:195-207, 1972.
-
(1972)
Networks
, vol.1
, pp. 195-207
-
-
Dreyfus, S.E.1
Wagner, R.A.2
-
13
-
-
20744436489
-
An improved approximation algorithm for virtual private network design
-
F. Eisenbrand and F. Grandoni. An improved approximation algorithm for virtual private network design. In SODA, pages 928-932, 2005.
-
(2005)
SODA
, pp. 928-932
-
-
Eisenbrand, F.1
Grandoni, F.2
-
14
-
-
46449094617
-
New approaches for virtual private network designs
-
F. Eisenbrand, F. Grandoni, G. Oriolo, and M. Skutella. New approaches for virtual private network designs. SIAM Journal on Computing 37(3): 706-721, 2007.
-
(2007)
SIAM Journal on Computing
, vol.37
, Issue.3
, pp. 706-721
-
-
Eisenbrand, F.1
Grandoni, F.2
Oriolo, G.3
Skutella, M.4
-
15
-
-
58449094051
-
Approximating connected facility location problems via random facility sampling and core detouring
-
F. Eisenbrand, F. Grandoni, T. Rothvoß, and G. Schäfer. Approximating connected facility location problems via random facility sampling and core detouring. In SODA, pages 1174-1183, 2008.
-
(2008)
SODA
, pp. 1174-1183
-
-
Eisenbrand, F.1
Grandoni, F.2
Rothvoß, T.3
Schäfer, G.4
-
17
-
-
51249175909
-
An application of simultaneous Diophantine approximation in combinatorial optimization
-
A. Frank and É. Tardos. An application of simultaneous Diophantine approximation in combinatorial optimization. Combinatorica, 7:49-65, 1987.
-
(1987)
Combinatorica
, vol.7
, pp. 49-65
-
-
Frank, A.1
Tardos, É.2
-
21
-
-
21144461865
-
A catalog of Steiner tree formulations
-
M. X. Goemans and Y. S. Myung. A catalog of Steiner tree formulations. Networks, 23:19-28, 1993.
-
(1993)
Networks
, vol.23
, pp. 19-28
-
-
Goemans, M.X.1
Myung, Y.S.2
-
22
-
-
0029289832
-
A general approximation technique for constrained forest problems
-
M. X. Goemans and D.P. Williamson. A general approximation technique for constrained forest problems. SIAM Journal on Computing, 24:296-317, 1995.
-
(1995)
SIAM Journal on Computing
, vol.24
, pp. 296-317
-
-
Goemans, M.X.1
Williamson, D.P.2
-
23
-
-
77249107908
-
Improved approximation for single-sink buy-at-bulk
-
F. Grandoni and G. F. Italiano. Improved approximation for single-sink buy-at-bulk. In ISAAC, pages 111-120, 2006.
-
(2006)
ISAAC
, pp. 111-120
-
-
Grandoni, F.1
Italiano, G.F.2
-
24
-
-
51249185617
-
The ellipsoid method and its consequences in combinatorial optimization
-
M. Grötschel, L. Lovasz, and A. Schrijver. The ellipsoid method and its consequences in combinatorial optimization. Combinatorica, 1:169-197, 1981.
-
(1981)
Combinatorica
, vol.1
, pp. 169-197
-
-
Grötschel, M.1
Lovasz, L.2
Schrijver, A.3
-
25
-
-
0034832757
-
Provisioning a virtual private network: A network design problem for multicommodity flow
-
A. Gupta, J. Kleinberg, A. Kumar, R. Rastogi, and B. Yener. Provisioning a virtual private network: a network design problem for multicommodity flow. In STOC, pages 389-398, 2001.
-
(2001)
STOC
, pp. 389-398
-
-
Gupta, A.1
Kleinberg, J.2
Kumar, A.3
Rastogi, R.4
Yener, B.5
-
26
-
-
34250331246
-
Approximation via cost sharing: Simpler and better approximation algorithms for network design
-
A. Gupta, A. Kumar, M. Pál, and T. Roughgarden. Approximation via cost sharing: simpler and better approximation algorithms for network design. Journal of the ACM, 54(3):11, 2007.
-
(2007)
Journal of the ACM
, vol.54
, Issue.3
, pp. 11
-
-
Gupta, A.1
Kumar, A.2
Pál, M.3
Roughgarden, T.4
-
27
-
-
0000892307
-
The Steiner tree problem
-
Elsevier, Amsterdam
-
F.K. Hwang, D.S. Richards, and P. Winter. The Steiner tree problem. Monograph in Annals of Discrete Mathematics, 53. Elsevier, Amsterdam, 1992.
-
(1992)
Monograph in Annals of Discrete Mathematics
, vol.53
-
-
Hwang, F.K.1
Richards, D.S.2
Winter, P.3
-
28
-
-
0032305705
-
A factor 2 approximation algorithm for the generalized Steiner network problem
-
K. Jain. A factor 2 approximation algorithm for the generalized Steiner network problem. In FOCS, pages 448-457, 1998.
-
(1998)
FOCS
, pp. 448-457
-
-
Jain, K.1
-
29
-
-
0002756840
-
New approximation algorithms for the steiner tree problems
-
M. Karpinski and A. Zelikovsky. New approximation algorithms for the Steiner tree problems. Journal of Combinatorial Optimization, 1(1):47-65, 1997. (Pubitemid 127715942)
-
(1997)
Journal of Combinatorial Optimization
, vol.1
, Issue.1
, pp. 47-65
-
-
Karpinski, M.1
Zelikovsky, A.2
-
30
-
-
0000564361
-
A polynomial algorithm for linear programming
-
L. G. Khachiyan. A polynomial algorithm for linear programming. Soviet Math. Doklady, 20:191-194, 1979.
-
(1979)
Soviet Math. Doklady
, vol.20
, pp. 191-194
-
-
Khachiyan, L.G.1
-
31
-
-
0000564361
-
-
Russian original in
-
(Russian original in Doklady Akademiia Nauk SSSR, 244:1093-1096).
-
Doklady Akademiia Nauk SSSR
, vol.244
, pp. 1093-1096
-
-
-
32
-
-
77954730958
-
A partition-based relaxation for Steiner trees
-
abs/0712.3568
-
J. Könemann, D. Pritchard, and K. Tan. A partition-based relaxation for Steiner trees. CoRR, abs/0712.3568, 2007.
-
(2007)
CoRR
-
-
Könemann, J.1
Pritchard, D.2
Tan, K.3
-
34
-
-
33745606932
-
A faster algorithm for the Steiner tree problem
-
D. Mölle, S. Richter, and P. Rossmanith. A faster algorithm for the Steiner tree problem. In STACS 2006, pages 561-570, 2006.
-
(2006)
STACS 2006
, pp. 561-570
-
-
Mölle, D.1
Richter, S.2
Rossmanith, P.3
-
35
-
-
0037211669
-
On Steiner trees and minimum spanning trees in hypergraphs
-
DOI 10.1016/S0167-6377(02)00185-2, PII S0167637702001852
-
T. Polzin and S. V. Daneshmand. On Steiner trees and minimum spanning trees in hypergraphs. Operations Research Letters, 31:12-20, 2003. (Pubitemid 35432900)
-
(2003)
Operations Research Letters
, vol.31
, Issue.1
, pp. 12-20
-
-
Polzin, T.1
Vahdati Daneshmand, S.2
-
36
-
-
0001806503
-
A new approximation algorithm for the Steiner tree problem with performance ratio 5/3
-
H. J. Prömel and A. Steger. A new approximation algorithm for the Steiner tree problem with performance ratio 5/3. Journal of Algorithms, 36:89-101, 2000.
-
(2000)
Journal of Algorithms
, vol.36
, pp. 89-101
-
-
Prömel, H.J.1
Steger, A.2
-
37
-
-
0032793857
-
On the bidirected cut relaxation for the metric Steiner tree problem
-
S. Rajagopalan and V. V. Vazirani. On the bidirected cut relaxation for the metric Steiner tree problem. In SODA, pages 742-751, 1999.
-
(1999)
SODA
, pp. 742-751
-
-
Rajagopalan, S.1
Vazirani, V.V.2
-
38
-
-
0038286379
-
On Rajagopalan and Vazirani's 3/2-approximation bound for the Iterated 1-Steiner heuristic
-
R. Rizzi. On Rajagopalan and Vazirani's 3/2-approximation bound for the Iterated 1-Steiner heuristic. Information Processing Letters, 86(6):335-338, 2003.
-
(2003)
Information Processing Letters
, vol.86
, Issue.6
, pp. 335-338
-
-
Rizzi, R.1
-
40
-
-
77954708579
-
-
A preliminary version appeared
-
A preliminary version appeared in SODA 2000.
-
(2000)
SODA
-
-
-
41
-
-
20744448143
-
Primal-dual algorithms for connected facility location problems
-
DOI 10.1007/s00453-004-1112-3
-
C. Swamy and A. Kumar. Prima-dual algorithms for connected facility location problems. Algorithmica, 40(4):245-269, 2004. (Pubitemid 40871640)
-
(2004)
Algorithmica (New York)
, vol.40
, Issue.4
, pp. 245-269
-
-
Swamy, C.1
Kumar, A.2
-
42
-
-
84868668990
-
The single-sink buy-at-bulk LP has constant integrality gap
-
K. Talwar. The single-sink buy-at-bulk LP has constant integrality gap. In IPCO, pages 475-486, 2002.
-
(2002)
IPCO
, pp. 475-486
-
-
Talwar, K.1
-
44
-
-
0000857177
-
An 11/6-approximation algorithm for the network Steiner problem
-
A. Z. Zelikovsky. An 11/6-approximation algorithm for the network Steiner problem. Algorithmica, 9:463-470, 1993.
-
(1993)
Algorithmica
, vol.9
, pp. 463-470
-
-
Zelikovsky, A.Z.1
|