메뉴 건너뛰기




Volumn , Issue , 2011, Pages 469-478

Fixed-parameter tractability of multicut parameterized by the size of the cutset

Author keywords

fixed parameter tractability; multicut

Indexed keywords

COMPUTATION THEORY; PARAMETERIZATION;

EID: 79959760912     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1993636.1993699     Document Type: Conference Paper
Times cited : (69)

References (37)
  • 1
    • 70349970181 scopus 로고    scopus 로고
    • Expander flows, geometric embeddings and graph partitioning
    • S. Arora, S. Rao, and U. Vazirani. Expander flows, geometric embeddings and graph partitioning. J. ACM, 56(2):1-37, 2009.
    • (2009) J. ACM , vol.56 , Issue.2 , pp. 1-37
    • Arora, S.1    Rao, S.2    Vazirani, U.3
  • 5
    • 84880204379 scopus 로고    scopus 로고
    • A polynomial kernel for multicut in trees
    • N. Bousquet, J. Daligault, S. Thomasse, and A. Yeo. A polynomial kernel for multicut in trees. In STACS, pages 183-194, 2009.
    • (2009) STACS , pp. 183-194
    • Bousquet, N.1    Daligault, J.2    Thomasse, S.3    Yeo, A.4
  • 6
    • 0042929930 scopus 로고    scopus 로고
    • Multicuts in unweighted graphs and digraphs with bounded degree and bounded tree-width
    • G. Calinescu, C. G. Fernandes, and B. Reed. Multicuts in unweighted graphs and digraphs with bounded degree and bounded tree-width. Journal of Algorithms, 48(2):333-359, 2003.
    • (2003) Journal of Algorithms , vol.48 , Issue.2 , pp. 333-359
    • Calinescu, G.1    Fernandes, C.G.2    Reed, B.3
  • 7
    • 33745302806 scopus 로고    scopus 로고
    • On the hardness of approximating multicut and sparsest-cut
    • DOI 10.1007/s00037-006-0210-9
    • S. Chawla, R. Krauthgamer, R. Kumar, Y. Rabani, and D. Sivakumar. On the hardness of approximating multicut and sparsest-cut. Comput. Complexity, 15(2):94-114, 2006. (Pubitemid 43938397)
    • (2006) Computational Complexity , vol.15 , Issue.2 , pp. 94-114
    • Chawla, S.1    Krauthgamer, R.2    Kumar, R.3    Rabani, Y.4    Sivakumar, D.5
  • 8
    • 67249162314 scopus 로고    scopus 로고
    • An improved parameterized algorithm for the minimum node multiway cut problem
    • J. Chen, Y. Liu, and S. Lu. An improved parameterized algorithm for the minimum node multiway cut problem. Algorithmica, 55(1):1-13, 2009.
    • (2009) Algorithmica , vol.55 , Issue.1 , pp. 1-13
    • Chen, J.1    Liu, Y.2    Lu, S.3
  • 9
    • 56349086571 scopus 로고    scopus 로고
    • A fixed-parameter algorithm for the directed feedback vertex set problem
    • J. Chen, Y. Liu, S. Lu, B. O'Sullivan, and I. Razgon. A fixed-parameter algorithm for the directed feedback vertex set problem. J. ACM, 55(5), 2008.
    • (2008) J. ACM , vol.55 , Issue.5
    • Chen, J.1    Liu, Y.2    Lu, S.3    O'Sullivan, B.4    Razgon, I.5
  • 10
    • 70349972685 scopus 로고    scopus 로고
    • Polynomial flow-cut gaps and hardness of directed cut problems
    • J. Chuzhoy and S. Khanna. Polynomial flow-cut gaps and hardness of directed cut problems. J. ACM, 56(2):1-28, 2009.
    • (2009) J. ACM , vol.56 , Issue.2 , pp. 1-28
    • Chuzhoy, J.1    Khanna, S.2
  • 12
    • 33746868385 scopus 로고    scopus 로고
    • Correlation clustering in general weighted graphs
    • DOI 10.1016/j.tcs.2006.05.008, PII S0304397506003227
    • E. D. Demaine, D. Emanuel, A. Fiat, and N. Immorlica. Correlation clustering in general weighted graphs. Theor. Comput. Sci., 361(2-3):172-187, 2006. (Pubitemid 44189103)
    • (2006) Theoretical Computer Science , vol.361 , Issue.2-3 , pp. 172-187
    • Demaine, E.D.1    Emanuel, D.2    Fiat, A.3    Immorlica, N.4
  • 14
    • 55249084680 scopus 로고    scopus 로고
    • Improved approximation algorithms for minimum weight vertex separators
    • U. Feige, M. Hajiaghayi, and J. R. Lee. Improved approximation algorithms for minimum weight vertex separators. SIAM J. Comput., 38(2):629-657, 2008.
    • (2008) SIAM J. Comput. , vol.38 , Issue.2 , pp. 629-657
    • Feige, U.1    Hajiaghayi, M.2    Lee, J.R.3
  • 17
    • 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(2):235-251, 1996.
    • (1996) SIAM J. Comput. , vol.25 , Issue.2 , pp. 235-251
    • Garg, N.1    Vazirani, V.V.2    Yannakakis, M.3
  • 18
    • 34248524783 scopus 로고    scopus 로고
    • A logical approach to multicut problems
    • DOI 10.1016/j.ipl.2007.03.005, PII S0020019007000622
    • G. Gottlob and S. T. Lee. A logical approach to multicut problems. Inf. Process. Lett., 103(4):136-141, 2007. (Pubitemid 46753985)
    • (2007) Information Processing Letters , vol.103 , Issue.4 , pp. 136-141
    • Gottlob, G.1    Lee, S.T.2
  • 19
    • 79952196090 scopus 로고    scopus 로고
    • Fpt algorithms for path-transversal and cycle-transversal problems
    • Parameterized Complexity of Discrete Optimization
    • S. Guillemot. Fpt algorithms for path-transversal and cycle-transversal problems. Discrete Optimization, 8(1):61-71, 2011. Parameterized Complexity of Discrete Optimization.
    • (2011) Discrete Optimization , vol.8 , Issue.1 , pp. 61-71
    • Guillemot, S.1
  • 20
    • 35349016809 scopus 로고    scopus 로고
    • Complexity and exact algorithms for vertex multicut in interval and bounded treewidth graphs
    • DOI 10.1016/j.ejor.2007.02.014, PII S0377221707002226
    • J. Guo, F. Hüffner, E. Kenar, R. Niedermeier, and J. Uhlmann. Complexity and exact algorithms for vertex multicut in interval and bounded treewidth graphs. European J. Oper. Res., 186(2):542-553, 2008. (Pubitemid 47615326)
    • (2008) European Journal of Operational Research , vol.186 , Issue.2 , pp. 542-553
    • Guo, J.1    Huffner, F.2    Kenar, E.3    Niedermeier, R.4    Uhlmann, J.5
  • 21
    • 27744582441 scopus 로고    scopus 로고
    • Fixed-parameter tractability and data reduction for multicut in trees
    • DOI 10.1002/net.20081
    • J. Guo and R. Niedermeier. Fixed-parameter tractability and data reduction for multicut in trees. Networks, 46(3):124-135, 2005. (Pubitemid 41603361)
    • (2005) Networks , vol.46 , Issue.3 , pp. 124-135
    • Guo, J.1    Niedermeier, R.2
  • 22
    • 0037739972 scopus 로고    scopus 로고
    • Improved results for directed multicut
    • A. Gupta. Improved results for directed multicut. In SODA, pages 454-455, 2003.
    • (2003) SODA , pp. 454-455
    • Gupta, A.1
  • 23
    • 43049144384 scopus 로고    scopus 로고
    • Techniques for practical fixed-parameter algorithms
    • F. Hüffner, R. Niedermeier, and S. Wernicke. Techniques for practical fixed-parameter algorithms. The Computer Journal, 51(1):7-25, 2008.
    • (2008) The Computer Journal , vol.51 , Issue.1 , pp. 7-25
    • Hüffner, F.1    Niedermeier, R.2    Wernicke, S.3
  • 24
    • 0036040281 scopus 로고    scopus 로고
    • On the power of unique 2-prover 1-round games
    • S. Khot. On the power of unique 2-prover 1-round games. In STOC, pages 767-775, 2002.
    • (2002) STOC , pp. 767-775
    • Khot, S.1
  • 26
    • 35048846515 scopus 로고    scopus 로고
    • Parameterized graph separation problems
    • D. Marx. Parameterized graph separation problems. In IWPEC, pages 71-82. 2004.
    • (2004) IWPEC , pp. 71-82
    • Marx, D.1
  • 27
    • 32144452810 scopus 로고    scopus 로고
    • Parameterized graph separation problems
    • DOI 10.1016/j.tcs.2005.10.007, PII S0304397505006328, Parameterized and Exact Computations
    • D. Marx. Parameterized graph separation problems. Theoretical Computer Science, 351(3):394-406, 2006. (Pubitemid 43207633)
    • (2006) Theoretical Computer Science , vol.351 , Issue.3 , pp. 394-406
    • Marx, D.1
  • 28
    • 69949090351 scopus 로고    scopus 로고
    • Constant ratio fixed-parameter approximation of the edge multicut problem
    • D. Marx and I. Razgon. Constant ratio fixed-parameter approximation of the edge multicut problem. Inf. Process. Lett., 109(20):1161-1166, 2009.
    • (2009) Inf. Process. Lett. , vol.109 , Issue.20 , pp. 1161-1166
    • Marx, D.1    Razgon, I.2
  • 29
    • 79959754023 scopus 로고    scopus 로고
    • Fixed-parameter tractability of multicut parameterized by the size of the cutset
    • abs/1010.3633
    • D. Marx and I. Razgon. Fixed-parameter tractability of multicut parameterized by the size of the cutset. CoRR, abs/1010.3633, 2010.
    • (2010) CoRR
    • Marx, D.1    Razgon, I.2
  • 30
    • 0029513529 scopus 로고
    • Splitters and near-optimal derandomization
    • M. Naor, L. J. Schulman, and A. Srinivasan. Splitters and near-optimal derandomization. In FOCS, pages 182-191, 1995.
    • (1995) FOCS , pp. 182-191
    • Naor, M.1    Schulman, L.J.2    Srinivasan, A.3
  • 32
    • 77953757645 scopus 로고    scopus 로고
    • Multicut algorithms via tree decompositions
    • R. Pichler, S. Rümmele, and S. Woltran. Multicut algorithms via tree decompositions. In CIAC, pages 167-179. 2010.
    • (2010) CIAC , pp. 167-179
    • Pichler, R.1    Rümmele, S.2    Woltran, S.3
  • 33
    • 70349342642 scopus 로고    scopus 로고
    • Almost 2-SAT is fixed-parameter tractable
    • I. Razgon and B. O'Sullivan. Almost 2-SAT is fixed-parameter tractable. J. Comput. Syst. Sci., 75(8):435-450, 2009.
    • (2009) J. Comput. Syst. Sci. , vol.75 , Issue.8 , pp. 435-450
    • Razgon, I.1    O'Sullivan, B.2
  • 35
    • 77952342014 scopus 로고    scopus 로고
    • Breaking the multicommodity flow barrier for O(√logn)- approximations to sparsest cut
    • J. Sherman. Breaking the multicommodity flow barrier for O(√logn)-approximations to sparsest cut. In FOCS, pages 363-372, 2009.
    • (2009) FOCS , pp. 363-372
    • Sherman, J.1
  • 36
    • 44649191818 scopus 로고    scopus 로고
    • Algorithms for multiterminal cuts
    • M. Xiao. Algorithms for multiterminal cuts. In CSR, pages 314-325, 2008.
    • (2008) CSR , pp. 314-325
    • Xiao, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.