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Volumn 157, Issue 4, 2009, Pages 715-727

The parameterized complexity of the induced matching problem

Author keywords

Induced matching; Kernelization; Parameterized complexity; Planar graph; Tree decomposition

Indexed keywords

TREES (MATHEMATICS);

EID: 59949093421     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2008.07.011     Document Type: Article
Times cited : (81)

References (42)
  • 1
    • 0037507853 scopus 로고    scopus 로고
    • Fixed parameter algorithms for dominating set and related problems on planar graphs
    • Alber J., Bodlaender H.L., Fernau H., Kloks T., and Niedermeier R. Fixed parameter algorithms for dominating set and related problems on planar graphs. Algorithmica 33 4 (2002) 461-493
    • (2002) Algorithmica , vol.33 , Issue.4 , pp. 461-493
    • Alber, J.1    Bodlaender, H.L.2    Fernau, H.3    Kloks, T.4    Niedermeier, R.5
  • 2
    • 33745640909 scopus 로고    scopus 로고
    • A general data reduction scheme for domination in graphs
    • Proceedings of SOFSEM'06, Springer
    • Alber J., Dorn B., and Niedermeier R. A general data reduction scheme for domination in graphs. Proceedings of SOFSEM'06. LNCS vol. 3831 (2006), Springer 137-147
    • (2006) LNCS , vol.3831 , pp. 137-147
    • Alber, J.1    Dorn, B.2    Niedermeier, R.3
  • 3
    • 4243072974 scopus 로고    scopus 로고
    • Polynomial-time data reduction for dominating set
    • Alber J., Fellows M.R., and Niedermeier R. Polynomial-time data reduction for dominating set. Journal of the ACM 51 3 (2004) 363-384
    • (2004) Journal of the ACM , vol.51 , Issue.3 , pp. 363-384
    • Alber, J.1    Fellows, M.R.2    Niedermeier, R.3
  • 4
    • 84937405099 scopus 로고    scopus 로고
    • Improved tree decomposition based algorithms for domination-like problems
    • Proceedings of LATIN'02, Springer
    • Alber J., and Niedermeier R. Improved tree decomposition based algorithms for domination-like problems. Proceedings of LATIN'02. LNCS vol. 2286 (2002), Springer 613-628
    • (2002) LNCS , vol.2286 , pp. 613-628
    • Alber, J.1    Niedermeier, R.2
  • 5
    • 0001294529 scopus 로고    scopus 로고
    • A linear-time algorithm for finding tree-decompositions of small treewidth
    • Bodlaender H.L. A linear-time algorithm for finding tree-decompositions of small treewidth. SIAM Journal on Computing 25 6 (1996) 1305-1317
    • (1996) SIAM Journal on Computing , vol.25 , Issue.6 , pp. 1305-1317
    • Bodlaender, H.L.1
  • 6
    • 84947711895 scopus 로고    scopus 로고
    • Treewidth: Algorithmic techniques and results
    • Proceedings of MFCS'97, Springer
    • Bodlaender H.L. Treewidth: Algorithmic techniques and results. Proceedings of MFCS'97. LNCS vol. 1295 (1997), Springer 19-36
    • (1997) LNCS , vol.1295 , pp. 19-36
    • Bodlaender, H.L.1
  • 7
    • 33845532829 scopus 로고    scopus 로고
    • Treewidth: Characterizations, applications, and computations
    • Proceedings of WG'06, Springer
    • Bodlaender H.L. Treewidth: Characterizations, applications, and computations. Proceedings of WG'06. LNCS vol. 4271 (2006), Springer 1-14
    • (2006) LNCS , vol.4271 , pp. 1-14
    • Bodlaender, H.L.1
  • 9
    • 1142263894 scopus 로고    scopus 로고
    • Induced matchings in intersection graphs
    • Cameron K. Induced matchings in intersection graphs. Discrete Mathematics 278 1-3 (2004) 1-9
    • (2004) Discrete Mathematics , vol.278 , Issue.1-3 , pp. 1-9
    • Cameron, K.1
  • 10
    • 84867926846 scopus 로고    scopus 로고
    • Finding a maximum induced matching in weakly chordal graphs
    • Cameron K., Sritharan R., and Tang Y. Finding a maximum induced matching in weakly chordal graphs. Discrete Mathematics 266 1-3 (2003) 133-142
    • (2003) Discrete Mathematics , vol.266 , Issue.1-3 , pp. 133-142
    • Cameron, K.1    Sritharan, R.2    Tang, Y.3
  • 11
    • 49449114354 scopus 로고    scopus 로고
    • Parametric duality and kernelization: Lower bounds and upper bounds on kernel size
    • Chen J., Fernau H., Kanj I.A., and Xia G. Parametric duality and kernelization: Lower bounds and upper bounds on kernel size. SIAM Journal on Computing 37 4 (2007) 1077-1106
    • (2007) SIAM Journal on Computing , vol.37 , Issue.4 , pp. 1077-1106
    • Chen, J.1    Fernau, H.2    Kanj, I.A.3    Xia, G.4
  • 12
    • 35048872668 scopus 로고    scopus 로고
    • Approximation hardness of dominating set problems
    • Proceedings of ESA'04, Springer
    • Chlebík M., and Chlebíková J. Approximation hardness of dominating set problems. Proceedings of ESA'04. LNCS vol. 3221 (2004), Springer 192-203
    • (2004) LNCS , vol.3221 , pp. 192-203
    • Chlebík, M.1    Chlebíková, J.2
  • 13
    • 0025398865 scopus 로고
    • The monadic second-order logic of graphs. I. Recognizable sets of finite graphs
    • Courcelle B. The monadic second-order logic of graphs. I. Recognizable sets of finite graphs. Information and Computation 85 1 (1990) 12-75
    • (1990) Information and Computation , vol.85 , Issue.1 , pp. 12-75
    • Courcelle, B.1
  • 14
    • 0010848069 scopus 로고    scopus 로고
    • The complexity of irredundant sets parameterized by size
    • Downey R., Fellows M.R., and Raman V. The complexity of irredundant sets parameterized by size. Discrete Applied Mathematics 100 3 (2000) 155-167
    • (2000) Discrete Applied Mathematics , vol.100 , Issue.3 , pp. 155-167
    • Downey, R.1    Fellows, M.R.2    Raman, V.3
  • 16
    • 13544270840 scopus 로고    scopus 로고
    • On the approximability of the maximum induced matching problem
    • Duckworth W., Manlove D., and Zito M. On the approximability of the maximum induced matching problem. Journal of Discrete Algorithms 3 1 (2005) 79-91
    • (2005) Journal of Discrete Algorithms , vol.3 , Issue.1 , pp. 79-91
    • Duckworth, W.1    Manlove, D.2    Zito, M.3
  • 18
    • 33750234462 scopus 로고    scopus 로고
    • The lost continent of polynomial time: Preprocessing and kernelization
    • Proceedings of IWPEC'06, Springer
    • Fellows M.R. The lost continent of polynomial time: Preprocessing and kernelization. Proceedings of IWPEC'06. LNCS vol. 4169 (2006), Springer 276-277
    • (2006) LNCS , vol.4169 , pp. 276-277
    • Fellows, M.R.1
  • 20
    • 35048831453 scopus 로고    scopus 로고
    • Fast parameterized algorithms for graphs on surfaces: Linear kernel and exponential speed-up
    • Proceedings of ICALP'04, Springer
    • Fomin F.V., and Thilikos D.M. Fast parameterized algorithms for graphs on surfaces: Linear kernel and exponential speed-up. Proceedings of ICALP'04. LNCS vol. 3142 (2004), Springer 581-592
    • (2004) LNCS , vol.3142 , pp. 581-592
    • Fomin, F.V.1    Thilikos, D.M.2
  • 24
    • 33745604312 scopus 로고    scopus 로고
    • Tighter approximations for maximum induced matchings in regular graphs
    • Proceedings of WAOA'05, Springer
    • Gotthilf Z., and Lewenstein M. Tighter approximations for maximum induced matchings in regular graphs. Proceedings of WAOA'05. LNCS vol. 3879 (2005), Springer 270-281
    • (2005) LNCS , vol.3879 , pp. 270-281
    • Gotthilf, Z.1    Lewenstein, M.2
  • 25
    • 37149054237 scopus 로고    scopus 로고
    • Invitation to data reduction and problem kernelization
    • Guo J., and Niedermeier R. Invitation to data reduction and problem kernelization. ACM SIGACT News 38 1 (2007) 31-45
    • (2007) ACM SIGACT News , vol.38 , Issue.1 , pp. 31-45
    • Guo, J.1    Niedermeier, R.2
  • 26
    • 38149015469 scopus 로고    scopus 로고
    • Linear problem kernels for NP-hard problems on planar graphs
    • Proceedings of ICALP'07, Springer
    • Guo J., and Niedermeier R. Linear problem kernels for NP-hard problems on planar graphs. Proceedings of ICALP'07. LNCS vol. 4596 (2007), Springer 375-386
    • (2007) LNCS , vol.4596 , pp. 375-386
    • Guo, J.1    Niedermeier, R.2
  • 27
    • 33750276912 scopus 로고    scopus 로고
    • Fixed-parameter tractability results for full-degree spanning tree and its dual
    • Proceedings of IWPEC'06, Springer
    • Guo J., Niedermeier R., and Wernicke S. Fixed-parameter tractability results for full-degree spanning tree and its dual. Proceedings of IWPEC'06. LNCS vol. 4169 (2006), Springer 203-214
    • (2006) LNCS , vol.4169 , pp. 203-214
    • Guo, J.1    Niedermeier, R.2    Wernicke, S.3
  • 29
    • 33746372192 scopus 로고
    • Springer
    • Kloks T. Treewidth, Computations and Approximations. LNCS vol. 842 (1994), Springer
    • (1994) LNCS , vol.842
    • Kloks, T.1
  • 30
    • 33845543134 scopus 로고    scopus 로고
    • Divide-and-color
    • Proceedings of WG'06, Springer
    • Kneis J., Mölle D., Richter S., and Rossmanith P. Divide-and-color. Proceedings of WG'06. LNCS vol. 4271 (2006), Springer 58-67
    • (2006) LNCS , vol.4271 , pp. 58-67
    • Kneis, J.1    Mölle, D.2    Richter, S.3    Rossmanith, P.4
  • 31
    • 0242694864 scopus 로고    scopus 로고
    • Bipartite domination and simultaneous matroid covers
    • Ko C.W., and Shepherd F.B. Bipartite domination and simultaneous matroid covers. SIAM Journal on Discrete Mathematics 16 4 (2003) 517-523
    • (2003) SIAM Journal on Discrete Mathematics , vol.16 , Issue.4 , pp. 517-523
    • Ko, C.W.1    Shepherd, F.B.2
  • 32
    • 0344981397 scopus 로고    scopus 로고
    • 5-free graphs, and in graphs with matching and induced matching of equal maximum size
    • 5-free graphs, and in graphs with matching and induced matching of equal maximum size. Algorithmica 37 4 (2003) 327-346
    • (2003) Algorithmica , vol.37 , Issue.4 , pp. 327-346
    • Kobler, D.1    Rotics, U.2
  • 33
    • 0037116454 scopus 로고    scopus 로고
    • On maximum induced matchings in bipartite graphs
    • Lozin V.V. On maximum induced matchings in bipartite graphs. Information Processing Letters 81 1 (2002) 7-11
    • (2002) Information Processing Letters , vol.81 , Issue.1 , pp. 7-11
    • Lozin, V.V.1
  • 34
    • 0142106796 scopus 로고    scopus 로고
    • Some results on graphs without long induced paths
    • Lozin V.V., and Rautenbach D. Some results on graphs without long induced paths. Information Processing Letters 88 4 (2003) 167-171
    • (2003) Information Processing Letters , vol.88 , Issue.4 , pp. 167-171
    • Lozin, V.V.1    Rautenbach, D.2
  • 35
    • 38049138470 scopus 로고    scopus 로고
    • Parameterized complexity of finding regular induced subgraphs
    • Proceedings of ACiD'06, College Publications
    • Moser H., and Thilikos D.M. Parameterized complexity of finding regular induced subgraphs. Proceedings of ACiD'06. Texts in Algorithmics vol. 7 (2006), College Publications 107-118
    • (2006) Texts in Algorithmics , vol.7 , pp. 107-118
    • Moser, H.1    Thilikos, D.M.2
  • 37
    • 43849103922 scopus 로고    scopus 로고
    • Approximability results for the maximum and minimum maximal induced matching problems
    • Orlovich Y., Finke G., Gordon V., and Zverovich I. Approximability results for the maximum and minimum maximal induced matching problems. Discrete Optimization 5 (2008) 584-593
    • (2008) Discrete Optimization , vol.5 , pp. 584-593
    • Orlovich, Y.1    Finke, G.2    Gordon, V.3    Zverovich, I.4
  • 38
    • 50849134862 scopus 로고    scopus 로고
    • Short cycles make W-hard problems hard: FPT algorithms for W-hard problems in graphs with no short cycles
    • 10.1007/s00453-007-9148-9
    • Raman V., and Saurabh S. Short cycles make W-hard problems hard: FPT algorithms for W-hard problems in graphs with no short cycles. Algorithmica 52 2 (2008) 203-225 10.1007/s00453-007-9148-9
    • (2008) Algorithmica , vol.52 , Issue.2 , pp. 203-225
    • Raman, V.1    Saurabh, S.2
  • 39
    • 0015670780 scopus 로고
    • A max {m, n} algorithm for determining the graph H from its line graph G
    • Roussopoulos N.D. A max {m, n} algorithm for determining the graph H from its line graph G. Information Processing Letters 2 4 (1973) 108-112
    • (1973) Information Processing Letters , vol.2 , Issue.4 , pp. 108-112
    • Roussopoulos, N.D.1
  • 40
    • 0020171281 scopus 로고
    • NP-completeness of some generalizations of the maximum matching problem
    • Stockmeyer L.J., and Vazirani V.V. NP-completeness of some generalizations of the maximum matching problem. Information Processing Letters 15 1 (1982) 14-19
    • (1982) Information Processing Letters , vol.15 , Issue.1 , pp. 14-19
    • Stockmeyer, L.J.1    Vazirani, V.V.2
  • 41
    • 51849125490 scopus 로고    scopus 로고
    • H. Fernau, D. Raible, A parameterized perspective on packing paths of length two, in: Proceedings of COCOA'08, in: LNCS, 5165, Springer, 2008, pp. 54-63. (doi:10.1007/978-3-540-85097-7_6)
    • H. Fernau, D. Raible, A parameterized perspective on packing paths of length two, in: Proceedings of COCOA'08, in: LNCS, vol. 5165, Springer, 2008, pp. 54-63. (doi:10.1007/978-3-540-85097-7_6)
  • 42
    • 84947722677 scopus 로고    scopus 로고
    • Induced matchings in regular graphs and trees
    • Proceedings of WG'99, Springer
    • Zito M. Induced matchings in regular graphs and trees. Proceedings of WG'99. LNCS vol. 1665 (1999), Springer 89-100
    • (1999) LNCS , vol.1665 , pp. 89-100
    • Zito, M.1


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