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Volumn 39, Issue 5, 2010, Pages 1856-1887

Edge disjoint paths in moderately connected graphs

Author keywords

Edge disjoint paths; Polylogarithmic approximation; Random sampling in cuts

Indexed keywords

APPROXIMABILITY; CONNECTED GRAPH; DISJOINT PATHS; EDGE DISJOINT PATHS; GENERAL GRAPH; GLOBAL MINIMA; GRAPH CONNECTIVITY; GRAPH G; GRID-LIKE; NP COMPLETE PROBLEMS; PLANAR GRAPH; POLYLOGARITHMIC APPROXIMATION; RANDOM SAMPLING; SPECIAL STRUCTURE; UNDIRECTED GRAPH;

EID: 77049088062     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/080715093     Document Type: Article
Times cited : (38)

References (35)
  • 1
    • 33748628834 scopus 로고    scopus 로고
    • Hardness of the undirected edge- disjoint paths problem with congestion
    • Washington, DC
    • M. ANDREWS, J. CHUZHOY, S. KHANNA, AND L. ZHANG, Hardness of the undirected edge- disjoint paths problem with congestion, in Proceedings of the 46th IEEE FOCS, IEEE, Washington, DC, 2005, pp. 226-244.
    • (2005) Proceedings of the 46th IEEE FOCS, IEEE , pp. 226-244
    • Andrews, M.1    Chuzhoy, J.2    Khanna, S.3    Zhang, L.4
  • 2
    • 33747814715 scopus 로고    scopus 로고
    • Hardness of the undirected congestion minimization problem
    • DOI 10.1145/1060590.1060633, STOC'05: Proceedings of the 37th Annual ACM Symposium on Theory of Computing
    • M. Andrews and L. Zhang, Hardness of the undirected congestion minimization problem,'m Proceedings of the 37th ACM STOC, ACM, New York, 2005, pp. 284-293. (Pubitemid 43098598)
    • (2005) Proceedings of the Annual ACM Symposium on Theory of Computing , pp. 284-293
    • Andrews, M.1    Zhang, L.2
  • 3
    • 34848834854 scopus 로고    scopus 로고
    • Hardness of the undirected Edge-Disjoint Paths Problem
    • DOI 10.1145/1060590.1060632, STOC'05: Proceedings of the 37th Annual ACM Symposium on Theory of Computing
    • M. ANDREWS AND L. ZHANG, Hardness of the undirected edge-disjoint path problem,'m Proceedings of the 37th ACM STOC, ACM, New York, 2 005, pp. 276-283. (Pubitemid 43098597)
    • (2005) Proceedings of the Annual ACM Symposium on Theory of Computing , pp. 276-283
    • Andrews, M.1    Zhang, L.2
  • 4
    • 33748095331 scopus 로고    scopus 로고
    • Logarithmic hardness of the directed congestion minimization problem
    • STOC'06: Proceedings of the 38th Annual ACM Symposium on Theory of Computing
    • M. ANDREWS AND L. ZHANG, Logarithmic hardness of the directed congestion minimization problem, in Proceedings of the 38th ACM STOC, AC M, New York, 2006, pp. 517-526. (Pubitemid 44306586)
    • (2006) Proceedings of the Annual ACM Symposium on Theory of Computing , vol.2006 , pp. 517-526
    • Andrews, M.1    Zhang, L.2
  • 5
    • 85000332498 scopus 로고
    • Improved bounds for all-optical routing
    • ACM, New York, SIAM, Philadelphia
    • Y. AUmANN AND Y. RAbANi, Improved bounds for all-optical routing, in Proceedings of the 6th ACM-SIAM SODA, ACM, New York, SIAM, Philadelphia, 1995, pp. 567-576.
    • (1995) Proceedings of the 6th ACM-SIAM SODA , pp. 567-576
    • Aumann, Y.1    Rabani, Y.2
  • 6
    • 0002848637 scopus 로고
    • On-line admission control and circuit routing for high performance computing and communication
    • IEEE, Washington, DC
    • B. AWERbUcH, R. GAWlIck, F. T. LEIGHtON, AND Y. RA bANI, On-line admission control and circuit routing for high performance computing and communication, in Proceedings of the 35th IEEE FOCS, IEEE, Washington, DC, 1994, pp. 412-423.
    • (1994) Proceedings of the 35th IEEE FOCS , pp. 412-423
    • Awerbuch, B.1    Gawlick, R.2    Leighton, F.T.3    Ra Bani, Y.4
  • 7
    • 0028516588 scopus 로고
    • Existence and construction of edge-disjoint paths on expander graphs
    • A. Z. Broder, A. M. Frieze, AND E. Upfal, Existence and construction of edge-disjoint paths on expander graphs, SIAM J. Comput., 23 (1994), pp . 976-989.
    • (1994) SIAM J. Comput. , vol.23 , pp. 976-989
    • Broder, A.Z.1    Frieze, A.M.2    Upfal, E.3
  • 11
    • 34848917341 scopus 로고    scopus 로고
    • Multicommodity flow, well-linked terminals, and routing problems
    • ACM, New York
    • C. CHEKURi, S. KHANNA, AND F. B. SHEPHERD, Multicommodity flow, well-linked terminals, and routing problems, in Proceedings of the 37th ACM STOC, ACM, New York, 2005, pp. 183-192.
    • (2005) Proceedings of the 37th ACM STOC , pp. 183-192
    • Chekuri, C.1    Khanna, S.2    Shepherd, F.B.3
  • 12
    • 33748125128 scopus 로고    scopus 로고
    • Edge-disjoint paths in planar graphs with constant congestion
    • ACM, New York
    • C. CHEKURi, S. KHANNA, AND F. B. SHEPHERD, Edge-disjoint paths in planar graphs with constant congestion, in Proceedings of the 38th ACM STOC, ACM, New York, 2006, pp. 757-766.
    • (2006) Proceedings of the 38th ACM STOC , pp. 757-766
    • Chekuri, C.1    Khanna, S.2    Shepherd, F.B.3
  • 13
    • 33746352017 scopus 로고    scopus 로고
    • An 0(n) approximation and integrality gap for disjoint paths and unsplittable flow
    • C. CHEKURI, S. KHANNA, AND F. B. SHEPHERD, An 0(n) approximation and integrality gap for disjoint paths and unsplittable flow, J. Theory Comput., 2 (2006), pp. 137-146.
    • (2006) J. Theory Comput. , vol.2 , pp. 137-146
    • Chekuri, C.1    Khanna, S.2    Shepherd, F.B.3
  • 14
    • 0000182415 scopus 로고
    • A measure of asymptotic efficiency of tests of a hypothesis based on the sum of observations
    • H. CHERNOFF, A measure of asymptotic efficiency of tests of a hypothesis based on the sum of observations, Ann. Math. Statistics, 23 (1952), pp. 493-507.
    • (1952) Ann. Math. Statistics , vol.23 , pp. 493-507
    • Chernoff, H.1
  • 16
    • 4544282406 scopus 로고    scopus 로고
    • New hardness results for congestion minimization and machine scheduling
    • ACM, New York
    • J. CHUZHOY AND J. NAOR, New hardness results for congestion minimization and machine scheduling, in Proceedings of the 36th ACM STOC, ACM, New York, 2004, pp. 28-34.
    • (2004) Proceedings of the 36th ACM STOC , pp. 28-34
    • Chuzhoy, J.1    Naor, J.2
  • 17
    • 84866516599 scopus 로고
    • Primal-dual approximation algorithms for integral flow and multicut in trees
    • Springer-Verlag, London
    • N. GARG, V. V. VAZIRANI, AND M. YANNAKAKIS, Primal-dual approximation algorithms for integral flow and multicut in trees, in Proceedings of the 20th ICALP, Springer-Verlag, London, 1993, pp. 64-75.
    • (1993) Proceedings of the 20th ICALP , pp. 64-75
    • Garg, N.1    Vazirani, V.V.2    Yannakakis, M.3
  • 18
    • 0030127682 scopus 로고    scopus 로고
    • Approximate max-flow min-(multi)cut theorems and their applications
    • N. GARG, V. V. VAZIRANI, AND M. YANNAKAKIS, Approximate max-flow min-(multi)cut theorems and their applications, SIAM J. Comput., 25 (1996), pp. 235-251.
    • (1996) SIAM J. Comput. , vol.25 , pp. 235-251
    • Garg, N.1    Vazirani, V.V.2    Yannakakis, M.3
  • 19
    • 0032669862 scopus 로고    scopus 로고
    • Nearoptimal hardness results and approximation algorithms for edge-disjoint paths and related problems
    • ACM, New York
    • 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, in Proceedings of the 31th ACM STOC, ACM, New York, 1999, pp. 19-28.
    • (1999) Proceedings of the 31th ACM STOC , pp. 19-28
    • Guruswami, V.1    Khanna, S.2    Rajaraman, R.3    Shepherd, F.B.4    Yannakakis, M.5
  • 20
    • 0028132537 scopus 로고
    • Random sampling in cut, flow, and network design problems
    • ACM, New York
    • D. R. KARGER, Random sampling in cut, flow, and network design problems, in Proceedings of the 26th ACM STOC, ACM, New York, 1994, pp. 648-657.
    • (1994) Proceedings of the 26th ACM STOC , pp. 648-657
    • Karger, D.R.1
  • 21
    • 0032677628 scopus 로고    scopus 로고
    • Random sampling in cut, flow, and network design problems
    • D. R. KARGER Random sampling in cut, flow, and network design problems, Math. Oper. Res., 24 (1999), pp. 383-413.
    • (1999) Math. Oper. Res. , vol.24 , pp. 383-413
    • Karger, D.R.1
  • 22
  • 23
    • 33748628520 scopus 로고    scopus 로고
    • An approximation algorithm for the disjoint paths problem in even-degree planar graphs
    • IEEE, Washington, DC
    • J. KLEINBERG, An approximation algorithm for the disjoint paths problem in even-degree planar graphs, in Proceedings of the 46th IEEE FOCS, IEEE, Washington, DC, 2005, pp. 627-636.
    • (2005) Proceedings of the 46th IEEE FOCS , pp. 627-636
    • Kleinberg, J.1
  • 25
    • 0002932511 scopus 로고
    • Approximations for the disjoint paths problem in high-diameter planar networks
    • ACM, New York
    • J. KLEiNBERG AND E. TARDOS, Approximations for the disjoint paths problem in high-diameter planar networks, in Proceedings of the 27th ACM STO C, ACM, New York, 1995, pp. 26-35.
    • (1995) Proceedings of the 27th ACM STOC , pp. 26-35
    • Kleinberg, J.1    Tardos, E.2
  • 26
    • 0029534431 scopus 로고
    • Disjoint paths in densely embedded graphs
    • IEEE, Washington, DC
    • J. KLEiNBERG AND E. TARDOS, Disjoint paths in densely embedded graphs, in Proceedings of the 36th IEEE FOCS, IEEE, Washington, DC, 1995, pp. 52-61.
    • (1995) Proceedings of the 36th IEEE FOCS , pp. 52-61
    • Kleinberg, J.1    Tardos, E.2
  • 28
    • 84958746330 scopus 로고    scopus 로고
    • Approximating disjoint-path problems using greedy algorithms and packing integer programs
    • Springer-Verlag, London
    • S. G. KOLLiOPOULOS AND C. Stein, Approximating disjoint-path problems using greedy algorithms and packing integer programs, in Proceedings of IPCO, Springer-Verlag, London, 1998, pp. 153-168.
    • (1998) Proceedings of IPCO , pp. 153-168
    • Kolliopoulos, S.G.1    Stein, C.2
  • 29
    • 0034819246 scopus 로고    scopus 로고
    • Simple on-line algorithms for the maximum disjoint paths problem
    • ACM, New York
    • P. KOLMAN AND C. ScHEiDELER, Simple on-line algorithms for the maximum disjoint paths problem, in Proceedings of the 13th ACM SPAA, ACM, New York, 2001, pp. 38-47.
    • (2001) Proceedings of the 13th ACM SPAA , pp. 38-47
    • Kolman, P.1    Scheideler, C.2
  • 30
    • 4544240239 scopus 로고    scopus 로고
    • Approximate max-integral-flow/min-multicut theorems
    • ACM, New York
    • K. Obata, Approximate max-integral-flow/min-multicut theorems, in Proceedings of the 36th ACM STOC, ACM, New York, 2004, pp. 539-545.
    • (2004) Proceedings of the 36th ACM STOC , pp. 539-545
    • Obata, K.1
  • 32
    • 51249173817 scopus 로고
    • Randomized roundings: A technique for provably good algorithms and algorithms proofs
    • P. Raghavan AND C. D. THOMPSON, Randomized roundings: A technique for provably good algorithms and algorithms proofs, Combinatorica, 7 (1987), pp. 365-374.
    • (1987) Combinatorica , vol.7 , pp. 365-374
    • Raghavan, P.1    Thompson, C.D.2
  • 33
    • 0000751283 scopus 로고
    • An outline of a disjo int paths algorithm
    • Algorithms Combin. 9, Springer-Verlag, Berlin
    • N. RObERtSON AND P. D. SEYmOUR, An outline of a disjo int paths algorithm,inPaths,Flows and VLSI-layout, Algorithms Combin. 9, Springer-Verlag, Berlin, 1990, pp. 267-292.
    • (1990) Paths,Flows and VLSI-layout , pp. 267-292
    • Robertson, N.1    Seymour, P.D.2
  • 34
    • 0031359907 scopus 로고    scopus 로고
    • Improved approximations for edge-disjoint paths, unsplittable flow, and related routing problems
    • IEEE, Washington, DC
    • A. SRINivASAN, Improved approximations for edge-disjoint paths, unsplittable flow, and related routing problems, in Proceedings of the 38th IEEE FOCS, IEEE, Washington, DC, 1997, p. 416.
    • (1997) Proceedings of the 38th IEEE FOCS , pp. 416
    • Srinivasan, A.1
  • 35
    • 1842592091 scopus 로고    scopus 로고
    • Graph decomposition and a greedy algorithm for edge-disjoint paths
    • ACM, New York, SIAM, Philadelphia
    • K. VARADARAjAN AND G. VENkAtARAmAN, Graph decomposition and a greedy algorithm for edge-disjoint paths, in Proceedings of the ACM-SIAM SODA, ACM, New York, SIAM, Philadelphia, 2004, pp. 379-380.
    • (2004) Proceedings of the ACM-SIAM SODA , pp. 379-380
    • Varadarajan, K.1    Venkataraman, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.