메뉴 건너뛰기




Volumn 30, Issue 5, 2010, Pages 485-520

Inapproximability of Edge-Disjoint Paths and Low Congestion Routing on Undirected Graphs

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79952586177     PISSN: 02099683     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00493-010-2455-9     Document Type: Article
Times cited : (62)

References (39)
  • 7
    • 0000927271 scopus 로고    scopus 로고
    • An O(log k) approximate min-cut max-flow theorem and approximation algorithm
    • Y. Aumann and Y. Rabani: An O(log k) approximate min-cut max-flow theorem and approximation algorithm, SIAM Journal on Computing 27(1) (1998), 291-301.
    • (1998) SIAM Journal on Computing , vol.27 , Issue.1 , pp. 291-301
    • Aumann, Y.1    Rabani, Y.2
  • 9
    • 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 Research25(2) (2000), 255-280.
    • (2000) Mathematics of Operations Research , vol.25 , Issue.2 , pp. 255-280
    • Baveja, A.1    Srinivasan, A.2
  • 13
    • 33746352017 scopus 로고    scopus 로고
    • An O(√n)-approximation and integrality gap for disjoint paths and UFP
    • C. Chekuri, S. Khanna and F. B. Shepherd: An O(√n)-approximation and integrality gap for disjoint paths and UFP, Theory of Computing2 (2006), 137-146.
    • (2006) Theory of Computing , vol.2 , pp. 137-146
    • Chekuri, C.1    Khanna, S.2    Shepherd, F.B.3
  • 15
    • 34548230391 scopus 로고    scopus 로고
    • Multicommodity demand flow in a tree and packing integer programs
    • Art. no. 27
    • C. Chekuri, M. Mydlarz and F. B. Shepherd: Multicommodity demand flow in a tree and packing integer programs, ACM Transactions on Algorithms3(3) (2007), Art. no. 27.
    • (2007) ACM Transactions on Algorithms , vol.3 , Issue.3
    • Chekuri, C.1    Mydlarz, M.2    Shepherd, F.B.3
  • 18
    • 14644432405 scopus 로고    scopus 로고
    • The nonapproximability of non-boolean predicates
    • L. Engebretsen: The nonapproximability of non-boolean predicates, SIAM Journal on Discrete Mathematics 18 (2004), 114-129.
    • (2004) SIAM Journal on Discrete Mathematics , vol.18 , pp. 114-129
    • Engebretsen, L.1
  • 19
    • 0000471093 scopus 로고
    • Reguläre Graphen gegebener Taillenweite mit minimaler Knotenzahl
    • P. Erdo{double acute}s and H. Sachs: Reguläre Graphen gegebener Taillenweite mit minimaler Knotenzahl, Wiss. Z. Uni. Halle-Wittenburg (Math. Nat.)12 (1963), 251-257.
    • (1963) Wiss. Z. Uni. Halle-Wittenburg (Math. Nat.) , vol.12 , pp. 251-257
    • Erdos, P.1    Sachs, H.2
  • 20
    • 0001002826 scopus 로고
    • Edge-disjoint paths in planar graphs
    • A. Frank: Edge-disjoint paths in planar graphs, J. of Combinatorial Theory, Ser. B2 (1985), 164-178.
    • (1985) J. Of Combinatorial Theory, Ser. B , vol.2 , pp. 164-178
    • Frank, A.1
  • 24
    • 0346837920 scopus 로고    scopus 로고
    • Primal-dual approximation algorithms for integral flow and multicut in trees
    • N. Garg, V. Vazirani and M. Yannakakis: Primal-dual approximation algorithms for integral flow and multicut in trees, Algorithmica18(1) (1997), 3-20.
    • (1997) Algorithmica , vol.18 , Issue.1 , pp. 3-20
    • Garg, N.1    Vazirani, V.2    Yannakakis, M.3
  • 25
    • 0242581705 scopus 로고    scopus 로고
    • Near-optimal hardness results and approximation algorithms for edge-disjoint paths and related problems
    • 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, J. Comput. Syst. Sci. 67(3) (2003), 473-496.
    • (2003) J. Comput. Syst. Sci. , vol.67 , Issue.3 , pp. 473-496
    • Guruswami, V.1    Khanna, S.2    Rajaraman, R.3    Shepherd, F.B.4    Yannakakis, M.5
  • 26
    • 79952601707 scopus 로고    scopus 로고
    • Hardness of low congestion routing in undirected graphs
    • V. Guruswami and K. Talwar: Hardness of low congestion routing in undirected graphs, Manuscript, 2005.
    • (2005) Manuscript
    • Guruswami, V.1    Talwar, K.2
  • 27
    • 33748123082 scopus 로고    scopus 로고
    • Query efficient PCPs with perfect completeness
    • J. Håstad and S. Khot: Query efficient PCPs with perfect completeness, Theory of Computing1(7) (2005), 119-148.
    • (2005) Theory of Computing , vol.1 , Issue.7 , pp. 119-148
    • Håstad, J.1    Khot, S.2
  • 28
    • 0242299157 scopus 로고    scopus 로고
    • Simple analysis of graph tests for linearity and PCP
    • J. Håstad and A. Wigderson: Simple analysis of graph tests for linearity and PCP, Random Structures and Algorithms22(2) (2003), 139-160.
    • (2003) Random Structures and Algorithms , vol.22 , Issue.2 , pp. 139-160
    • Håstad, J.1    Wigderson, A.2
  • 29
    • 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 Sciences57 (1998), 61-73.
    • (1998) Journal of Computer and System Sciences , vol.57 , pp. 61-73
    • Kleinberg, J.M.1    Tardos, E.2
  • 34
    • 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(4) (1987), 365-374.
    • (1987) Combinatorica , vol.7 , Issue.4 , pp. 365-374
    • Raghavan, P.1    Thompson, C.D.2
  • 35
    • 0001226672 scopus 로고    scopus 로고
    • A parallel repetition theorem
    • R. Raz: A parallel repetition theorem, SIAM Journal on Computing 27(3) (1998), 763-803.
    • (1998) SIAM Journal on Computing , vol.27 , Issue.3 , pp. 763-803
    • Raz, R.1
  • 36
    • 0000751283 scopus 로고
    • An outline of a disjoint paths algorithm
    • B. Korte, L. Lovász, H. J. Prömel, and A. Schrijver (Eds.), Berlin: Springer-Verlag
    • N. Robertson and P. D. Seymour: An outline of a disjoint paths algorithm, in: Paths, Flows and VLSI-Layout (B. Korte, L. Lovász, H. J. Prömel and A. Schrijver, eds.), pages 267-292, Springer-Verlag, Berlin, 1990.
    • (1990) Paths, Flows and VLSI-Layout , pp. 267-292
    • Robertson, N.1    Seymour, P.D.2
  • 38
    • 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; in: Proceedings of the 38th Symposium on Foundations of Computer Science, pages 416-425, 1997.
    • (1997) Proceedings of the 38th Symposium on Foundations of Computer Science , pp. 416-425
    • Srinivasan, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.