메뉴 건너뛰기




Volumn 186, Issue 2, 2008, Pages 542-553

Complexity and exact algorithms for vertex multicut in interval and bounded treewidth graphs

Author keywords

Combinatorial optimization; Complexity theory; Dynamic programming; Graph theory; NP completeness; Parameterized complexity

Indexed keywords

ALGORITHMS; COMBINATORIAL OPTIMIZATION; COMPUTATIONAL COMPLEXITY; DYNAMIC PROGRAMMING; GRAPH THEORY; PARAMETER ESTIMATION; PROBLEM SOLVING;

EID: 35349016809     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2007.02.014     Document Type: Article
Times cited : (37)

References (32)
  • 1
    • 35348969632 scopus 로고    scopus 로고
    • C. Bentz, Edge disjoint paths and multicut problems in graphs generalizing the trees. Technical Report 948, CNAM-Laboratoire Cédric, Paris, 2005.
  • 2
    • 84947711895 scopus 로고    scopus 로고
    • H.L. Bodlaender, Treewidth: Algorithmic techniques and results, in: Proceedings of 22nd MFCS, vol. 1295, Lecture Notes in Computer Science, Springer, 1997, pp. 19-36.
  • 3
    • 0002981945 scopus 로고    scopus 로고
    • A partial k-arboretum of graphs with bounded treewidth
    • Bodlaender H.L. A partial k-arboretum of graphs with bounded treewidth. Theoretical Computer Science 209 (1998) 1-45
    • (1998) Theoretical Computer Science , vol.209 , pp. 1-45
    • Bodlaender, H.L.1
  • 4
    • 33845532829 scopus 로고    scopus 로고
    • H.L. Bodlaender, Treewidth: Characterizations, applications, and computations, in: Proceedings of 32nd WG, vol. 4271, Lecture Notes in Computer Science, Springer, 2006, pp. 1-14.
  • 5
    • 0017216776 scopus 로고
    • Testing for the consecutive ones property, interval graphs, and graph planarity using PQ-tree algorithms
    • Booth K.S., and Lueker G.S. Testing for the consecutive ones property, interval graphs, and graph planarity using PQ-tree algorithms. Journal of Computer and System Sciences 13 3 (1976) 335-379
    • (1976) Journal of Computer and System Sciences , vol.13 , Issue.3 , pp. 335-379
    • Booth, K.S.1    Lueker, G.S.2
  • 6
    • 35348971260 scopus 로고    scopus 로고
    • A. Brandstädt, V.B. Le, J.P. Spinrad, Graph Classes: A Survey. SIAM Monographs on Discrete Mathematics and Applications, 1999.
  • 7
    • 35348946213 scopus 로고    scopus 로고
    • R.D. Carr, S. Doddi, G. Konjevod, M.V. Marathe, On the red-blue set cover problem, in: Proceedings of 11th SODA, ACM/SIAM, 2000, pp. 345-353.
  • 9
    • 0042929930 scopus 로고    scopus 로고
    • Multicuts in unweighted graphs and digraphs with bounded degree and bounded tree-width
    • Cǎlinescu G., Fernandes C.G., and Reed B. Multicuts in unweighted graphs and digraphs with bounded degree and bounded tree-width. Journal of Algorithms 48 2 (2003) 333-359
    • (2003) Journal of Algorithms , vol.48 , Issue.2 , pp. 333-359
    • Cǎlinescu, G.1    Fernandes, C.G.2    Reed, B.3
  • 11
    • 0000891810 scopus 로고
    • Algorithm for solution of a problem of maximum flow in networks with power estimation
    • Dinic E.A. Algorithm for solution of a problem of maximum flow in networks with power estimation. Soviet Mathematics Doklady 11 (1970) 1277-1280
    • (1970) Soviet Mathematics Doklady , vol.11 , pp. 1277-1280
    • Dinic, E.A.1
  • 13
    • 0042971317 scopus 로고
    • Evolutionary trees: An integer multicommodity max-flow-min-cut theorem
    • Erdo{combining double acute accent}s P.L., and Székely L.A. Evolutionary trees: An integer multicommodity max-flow-min-cut theorem. Advances in Applied Mathematics 13 4 (1992) 375-389
    • (1992) Advances in Applied Mathematics , vol.13 , Issue.4 , pp. 375-389
    • Erdos, P.L.1    Székely, L.A.2
  • 16
    • 0346837920 scopus 로고    scopus 로고
    • Primal-dual approximation algorithms for integral flow and multicut in trees
    • Garg N., Vazirani V., and Yannakakis M. Primal-dual approximation algorithms for integral flow and multicut in trees. Algorithmica 18 1 (1997) 3-20
    • (1997) Algorithmica , vol.18 , Issue.1 , pp. 3-20
    • Garg, N.1    Vazirani, V.2    Yannakakis, M.3
  • 20
    • 27744582441 scopus 로고    scopus 로고
    • Fixed-parameter tractability and data reduction for multicut in trees
    • Guo J., and Niedermeier R. Fixed-parameter tractability and data reduction for multicut in trees. Networks 46 3 (2005) 124-135
    • (2005) Networks , vol.46 , Issue.3 , pp. 124-135
    • Guo, J.1    Niedermeier, R.2
  • 21
    • 33746415328 scopus 로고    scopus 로고
    • Exact algorithms and applications for tree-like weighted set cover
    • Guo J., and Niedermeier R. Exact algorithms and applications for tree-like weighted set cover. Journal of Discrete Algorithms 4 4 (2006) 608-622
    • (2006) Journal of Discrete Algorithms , vol.4 , Issue.4 , pp. 608-622
    • Guo, J.1    Niedermeier, R.2
  • 22
    • 0000703001 scopus 로고
    • Multicommodity networks flow
    • Hu T.C. Multicommodity networks flow. Operations Research 9 (1963) 898-900
    • (1963) Operations Research , vol.9 , pp. 898-900
    • Hu, T.C.1
  • 23
    • 84976779935 scopus 로고
    • Two-commodity flow
    • Itai A. Two-commodity flow. Journal of the ACM 25 (1978) 596-611
    • (1978) Journal of the ACM , vol.25 , pp. 596-611
    • Itai, A.1
  • 25
    • 0003360045 scopus 로고
    • Treewidth: Computations and Approximations
    • Springer
    • Kloks T. Treewidth: Computations and Approximations. Lecture Notes in Computer Science vol. 842 (1994), Springer
    • (1994) Lecture Notes in Computer Science , vol.842
    • Kloks, T.1
  • 26
    • 32144452810 scopus 로고    scopus 로고
    • Parameterized graph separation problems
    • Marx D. Parameterized graph separation problems. Theoretical Computer Science 351 3 (2006) 394-406
    • (2006) Theoretical Computer Science , vol.351 , Issue.3 , pp. 394-406
    • Marx, D.1
  • 30
    • 20544442021 scopus 로고    scopus 로고
    • Algorithmic aspects of tree width
    • Reed B.A., and Sales C.L. (Eds), Springer
    • Reed B.A. Algorithmic aspects of tree width. In: Reed B.A., and Sales C.L. (Eds). Recent Advances in Algorithms and Combinatorics (2003), Springer 85-107
    • (2003) Recent Advances in Algorithms and Combinatorics , pp. 85-107
    • Reed, B.A.1
  • 31
    • 0000673493 scopus 로고
    • Graph minors. II: Algorithmic aspects of tree-width
    • Robertson N., and Seymour P.D. Graph minors. II: Algorithmic aspects of tree-width. Journal of Algorithms 7 (1986) 309-322
    • (1986) Journal of Algorithms , vol.7 , pp. 309-322
    • Robertson, N.1    Seymour, P.D.2
  • 32
    • 84936763747 scopus 로고
    • Practical algorithms on partial k-trees with an application to domination-like problems
    • Proceedings of 3rd WADS, Springer
    • Telle J.A., and Proskurowski A. Practical algorithms on partial k-trees with an application to domination-like problems. Proceedings of 3rd WADS. Lecture Notes in Computer Science vol. 709 (1993), Springer 610-621
    • (1993) Lecture Notes in Computer Science , vol.709 , pp. 610-621
    • Telle, J.A.1    Proskurowski, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.