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Volumn 2005, Issue , 2005, Pages 226-241

Hardness of the undirected edge-disjoint paths problem with congestion

Author keywords

[No Author keywords available]

Indexed keywords

ALL OR NOTHING FLOW (ANF); EDGE DISJOINT PATHS (EDP); EDGE-DISJOINT PATHS PROBLEM WITH CONGESTION (EDPWC); POLYLOGARITHMIC INTEGRALITY GAPS;

EID: 33748628834     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SFCS.2005.41     Document Type: Conference Paper
Times cited : (61)

References (34)
  • 1
    • 30744464444 scopus 로고    scopus 로고
    • Hardness of the undirected edge-disjoint paths problem
    • M. Andrews and L. Zhang. Hardness of the undirected edge-disjoint paths problem. Proc. of STOC, 2005.
    • (2005) Proc. of STOC
    • Andrews, M.1    Zhang, L.2
  • 2
    • 30744464444 scopus 로고    scopus 로고
    • Hardness of the undirected congestion minimization problem
    • M. Andrews and L. Zhang. Hardness of the undirected congestion minimization problem. Proc. of STOC, 2005.
    • (2005) Proc. of STOC
    • Andrews, M.1    Zhang, L.2
  • 4
    • 0000927271 scopus 로고    scopus 로고
    • An O(log K) approximate min-cut max-flow theorem and approximation algorithm
    • February
    • Y. Aumann and Y. Rabani. An O(log K) approximate min-cut max-flow theorem and approximation algorithm. SIAM Journal on Computing, 27(1):291-301, February 1998.
    • (1998) SIAM Journal on Computing , vol.27 , Issue.1 , pp. 291-301
    • Aumann, Y.1    Rabani, Y.2
  • 5
    • 84947291208 scopus 로고    scopus 로고
    • Strongly polynomial algorithms for the unsplittable flow problem
    • Y. Azar and O. Regev. Strongly Polynomial Algorithms for the Unsplittable Flow Problem. IPCO 2001: 15-29.
    • IPCO 2001 , pp. 15-29
    • Azar, Y.1    Regev, O.2
  • 6
    • 0034187916 scopus 로고    scopus 로고
    • Approximation algorithms for disjoint paths and related routing and packing problems
    • A. Baveja and A. Srinivasan. Approximation algorithms for disjoint paths and related routing and packing problems. Mathematics of Operations Research, Vol. 25, pp. 255-280, 2000.
    • (2000) Mathematics of Operations Research , vol.25 , pp. 255-280
    • Baveja, A.1    Srinivasan, A.2
  • 9
    • 33748591755 scopus 로고    scopus 로고
    • Multicommodity flow, well-linked terminals, and routing problems
    • C. Chekuri, S. Khanna, and F. B. Shepherd. Multicommodity Flow, Well-linked Terminals, and Routing Problems Proc. of STOC, 2005.
    • (2005) Proc. of STOC
    • Chekuri, C.1    Khanna, S.2    Shepherd, F.B.3
  • 12
    • 4544227968 scopus 로고    scopus 로고
    • Multicommodity demand flow in a tree and packing integer programs
    • Submitted. Preliminary version
    • C. Chekuri, M. Mydlarz, and F. B. Shepherd. Multicommodity Demand Flow in a Tree and Packing Integer Programs. Submitted. Preliminary version in Proc. of ICALP, 2003.
    • (2003) Proc. of ICALP
    • Chekuri, C.1    Mydlarz, M.2    Shepherd, F.B.3
  • 14
    • 0000471093 scopus 로고
    • Reguläre graphen gegebener Taillenweite mit minimaler Knotenzahl
    • P. Erdös and H. Sachs. Reguläre graphen gegebener Taillenweite mit minimaler Knotenzahl. Wiss. Z. Uni. Halle-Wittenburg (Math. Nat.), 12:251-257, 1963.
    • (1963) Wiss. Z. Uni. Halle-Wittenburg (Math. Nat.) , vol.12 , pp. 251-257
    • Erdös, P.1    Sachs, H.2
  • 15
    • 0001002826 scopus 로고
    • Edge-disjoint paths in planar graphs
    • A. Frank. Edge-disjoint paths in planar graphs. J. of Combinatorial Theory, Ser. B., No. 2 (1985), 164-178.
    • (1985) J. of Combinatorial Theory, Ser. B. , Issue.2 , pp. 164-178
    • Frank, A.1
  • 16
  • 18
    • 0346837920 scopus 로고    scopus 로고
    • Primal-dual approximation algorithms for integral flow and multicut in trees
    • N. Garg, V. Vazirani, M. Yannakakis. Primal-Dual Approximation Algorithms for Integral Flow and Multicut in Trees. Algorithmica, 18(1):3-20, 1997.
    • (1997) Algorithmica , vol.18 , Issue.1 , pp. 3-20
    • Garg, N.1    Vazirani, V.2    Yannakakis, M.3
  • 19
    • 4544346325 scopus 로고
    • Preliminary version appeared
    • Preliminary version appeared in Proc. of ICALP, 1993.
    • (1993) Proc. of ICALP
  • 20
    • 33748583116 scopus 로고    scopus 로고
    • Near-optimal hardness results and approximation algorithms for edge-disjoint paths and related problems
    • To appear
    • V. Guruswami, S. Khanna, R. Rajaraman, F. B. Shepherd, and M. Yannakakis. Near-Optimal Hardness Results and Approximation Algorithms for Edge-Disjoint Paths and Related Problems. To appear in JCSS.
    • JCSS
    • Guruswami, V.1    Khanna, S.2    Rajaraman, R.3    Shepherd, F.B.4    Yannakakis, M.5
  • 21
    • 33748632581 scopus 로고    scopus 로고
    • Preliminary version appeared
    • Preliminary version appeared in Proc. of STOC, 1999.
    • (1999) Proc. of STOC
  • 23
    • 0242299157 scopus 로고    scopus 로고
    • Simple analysis of graph tests for linearity and PCP
    • J. Hastad, A. Wigderson. Simple Analysis of Graph Tests for Linearity and PCP. Random Structures and Algorithms, Vol 22, no. 2, pp 139-160, 2003.
    • (2003) Random Structures and Algorithms , vol.22 , Issue.2 , pp. 139-160
    • Hastad, J.1    Wigderson, A.2
  • 24
    • 0032136030 scopus 로고    scopus 로고
    • Approximations for the disjoint paths problem in high-diameter planar networks
    • J. M. Kleinberg and É. Tardos. Approximations for the disjoint paths problem in high-diameter planar networks. Journal of Computer and System Sciences, 57:61-73, 1998.
    • (1998) Journal of Computer and System Sciences , vol.57 , pp. 61-73
    • Kleinberg, J.M.1    Tardos, É.2
  • 25
    • 30744436157 scopus 로고
    • Preliminary version
    • Preliminary version in the Proc. of STOC, 1995.
    • (1995) Proc. of STOC
  • 26
    • 0029534431 scopus 로고
    • Disjoint paths in densely embedded graphs
    • J. M. Kleinberg and É. Tardos. Disjoint Paths in Densely Embedded Graphs. Proc. of FOCS, pp. 52-61, 1995.
    • (1995) Proc. of FOCS , pp. 52-61
    • Kleinberg, J.M.1    Tardos, É.2
  • 28
    • 84958746330 scopus 로고    scopus 로고
    • Approximating disjoint-path problems using greedy algorithms and packing integer programs
    • S. G. Kolliopoulos and C. Stein. Approximating Disjoint-Path Problems Using Greedy Algorithms and Packing Integer Programs. IPCO 1998: 153-168.
    • IPCO 1998 , pp. 153-168
    • Kolliopoulos, S.G.1    Stein, C.2
  • 29
    • 51249173817 scopus 로고
    • Randomized rounding: A technique for provably good algorithms and algorithmic proofs
    • P. Raghavan and C. D. Thompson. Randomized rounding: A technique for provably good algorithms and algorithmic proofs. Combinatorica,7:365-374, 1987.
    • (1987) Combinatorica , vol.7 , pp. 365-374
    • Raghavan, P.1    Thompson, C.D.2
  • 30
    • 0001226672 scopus 로고    scopus 로고
    • A parallel repetition theorem
    • R. Raz. A parallel repetition theorem. SIAM Journal on Computing, 27(3):763-803, 1998.
    • (1998) SIAM Journal on Computing , vol.27 , Issue.3 , pp. 763-803
    • Raz, R.1
  • 31
    • 0000751283 scopus 로고
    • Outline of a disjoint paths algorithm
    • B. Korte, L. Lovász, H. J. Prömel, and A. Schrijver, Eds., Springer-Verlag, Berlin
    • N. Robertson and P. D. Seymour. Outline of a disjoint paths algorithm. In B. Korte, L. Lovász, H. J. Prömel, and A. Schrijver, Eds., Paths, Flows and VLSI-Layout. Springer-Verlag, Berlin, 1990.
    • (1990) Paths, Flows and VLSI-layout
    • Robertson, N.1    Seymour, P.D.2
  • 33
    • 0031359907 scopus 로고    scopus 로고
    • Improved approximations for edge-disjoint paths, unsplittable flow, and related routing problems
    • A. Srinivasan. Improved approximations for edge-disjoint paths, unsplittable flow, and related routing problems. Proc. of the FOCS, pp. 416-425, 1997.
    • (1997) Proc. of the FOCS , pp. 416-425
    • Srinivasan, A.1
  • 34
    • 21944447959 scopus 로고    scopus 로고
    • Graph decomposition and a greedy algorithm for edge-disjoint paths
    • K. Varadarajan and G. Venkataraman. Graph Decomposition and a Greedy Algorithm for Edge-disjoint Paths. Proc. of SODA, 2004.
    • (2004) Proc. of SODA
    • Varadarajan, K.1    Venkataraman, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.