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Volumn 45, Issue 4, 2009, Pages 822-848

The complexity ecology of parameters: An illustration using bounded max leaf number

Author keywords

Bandwidth; Kernelization; Max leaf; Parameterized complexity; Well quasiordering

Indexed keywords

COMPUTATIONAL PROBLEM; COMPUTATIONAL PROCESS; KERNELIZATION; MAX-LEAF; MINIMUM DOMINATING SET; OPTIMIZATION PROBLEMS; PARAMETERIZED COMPLEXITY; WELL-QUASIORDERING;

EID: 70349489116     PISSN: 14324350     EISSN: 14330490     Source Type: Journal    
DOI: 10.1007/s00224-009-9167-9     Document Type: Article
Times cited : (64)

References (56)
  • 2
    • 4243072974 scopus 로고    scopus 로고
    • Polynomial time data reduction for dominating set
    • Alber, J., Fellows, M., Niedermeier, R.: Polynomial time data reduction for dominating set. J. ACM 51, 363-384 (2004)
    • (2004) J. ACM , vol.51 , pp. 363-384
    • Alber, J.1    Fellows, M.2    Niedermeier, R.3
  • 3
    • 84937405099 scopus 로고    scopus 로고
    • Improved tree decomposition based algorithms for domination-like problems
    • Lecture Notes in Computer Science2286, Berlin: Springer
    • Alber, J., Niedermeier, R.: Improved tree decomposition based algorithms for domination-like problems. In: Proceedings of the 5th Latin American Theoretical IN-formatics (LATIN 2002). Lecture Notes in Computer Science, vol. 2286, pp. 613-627. Springer, Berlin (2002)
    • (2002) Proceedings of the 5th LATIN American Theoretical in-Formatics (LATIN 2002) , pp. 613-627
    • Alber, J.1    Niedermeier, R.2
  • 4
    • 0000504885 scopus 로고
    • Easy problems for tree-decomposable graphs
    • Arnborg, S., Lagergren, J., Seese, D.: Easy problems for tree-decomposable graphs. J. Algorithms 12, 308-340 (1991)
    • (1991) J. Algorithms , vol.12 , pp. 308-340
    • Arnborg, S.1    Lagergren, J.2    Seese, D.3
  • 6
    • 0001294529 scopus 로고    scopus 로고
    • A linear time algorithm for finding tree-decompositions of small width
    • Bodlaender, H.L.: A linear time algorithm for finding tree-decompositions of small width. SIAM J. Comput. 25, 1305-1317 (1996)
    • (1996) SIAM J. Comput. , vol.25 , pp. 1305-1317
    • Bodlaender, H.L.1
  • 7
    • 37849043392 scopus 로고    scopus 로고
    • A cubic kernel for feedback vertex set
    • Lecture Notes in Computer Science4393, Berlin: Springer
    • Bodlaender, H.L.: A cubic kernel for feedback vertex set. In: Proceedings STACS 2007. Lecture Notes in Computer Science, vol. 4393, pp. 320-331. Springer, Berlin (2007)
    • (2007) Proceedings STACS 2007 , pp. 320-331
    • Bodlaender, H.L.1
  • 8
    • 43249086767 scopus 로고    scopus 로고
    • Combinatorial optimisation on graphs of bounded treewidth
    • Bodlaender, H.L., Koster, A.M.: Combinatorial optimisation on graphs of bounded treewidth. Comput. J. 51, 255-269 (2007)
    • (2007) Comput. J. , vol.51 , pp. 255-269
    • Bodlaender, H.L.1    Koster, A.M.2
  • 9
    • 0027963896 scopus 로고    scopus 로고
    • Bodlaender, H., Fellows, M., Hallett, M.: Beyond NP-completeness for problems of bounded width: hardness for the W hierarchy. In: Proceedings of the ACM Symposium on the Theory of Computing (STOC), pp. 449-458 (1994)
    • Bodlaender, H., Fellows, M., Hallett, M.: Beyond NP-completeness for problems of bounded width: hardness for the W hierarchy. In: Proceedings of the ACM Symposium on the Theory of Computing (STOC), pp. 449-458 (1994).
  • 10
    • 33750233301 scopus 로고    scopus 로고
    • The undirected feedback vertex set problem has polynomial kernel size
    • Lecture Notes in Computer Science4169, Berlin: Springer
    • Burrage, K., Estivill-Castro, V., Fellows, M., Langston, M., Mac, S., Rosamond, F.: The undirected feedback vertex set problem has polynomial kernel size. In: Proceedings IWPEC 2006. Lecture Notes in Computer Science, vol. 4169, pp. 192-202. Springer, Berlin (2006)
    • (2006) Proceedings IWPEC 2006 , pp. 192-202
    • Burrage, K.1    Estivill-Castro, V.2    Fellows, M.3    Langston, M.4    Mac, S.5    Rosamond, F.6
  • 11
    • 0031285145 scopus 로고    scopus 로고
    • The parameterized complexity of short computation and factorization
    • Proceedings of the Sacks Symposium
    • Cai, L., Chen, J., Downey, R., Fellows, M.: The parameterized complexity of short computation and factorization. Arch. Math. Log. 36, 321-338 (1997). Proceedings of the Sacks Symposium
    • (1997) Arch. Math. Log. , vol.36 , pp. 321-338
    • Cai, L.1    Chen, J.2    Downey, R.3    Fellows, M.4
  • 13
    • 33750070292 scopus 로고    scopus 로고
    • Improved parameterized upper bounds for vertex cover
    • Lecture Notes in Computer Science4162, Berlin: Springer
    • Chen, J., Kanj, I., Xia, G.: Improved parameterized upper bounds for vertex cover. In: Proceedings MFCS 2006. Lecture Notes in Computer Science, vol. 4162, pp. 238-249. Springer, Berlin (2006)
    • (2006) Proceedings MFCS 2006 , pp. 238-249
    • Chen, J.1    Kanj, I.2    Xia, G.3
  • 14
    • 35048876678 scopus 로고    scopus 로고
    • Linear kernels in linear time, or how to save k colors in O(n2) steps
    • Lecture Notes in Computer Science3353, Berlin: Springer
    • Chor, B., Fellows, M., Juedes, D.: Linear kernels in linear time, or how to save k colors in O(n2) steps. In: Proceedings WG 2004. Lecture Notes in Computer Science, vol. 3353, pp. 257-269. Springer, Berlin (2004)
    • (2004) Proceedings WG 2004 , pp. 257-269
    • Chor, B.1    Fellows, M.2    Juedes, D.3
  • 15
    • 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. Inf. Comput. 85, 12-75 (1990)
    • (1990) Inf. Comput. , vol.85 , pp. 12-75
    • Courcelle, B.1
  • 16
    • 43249099091 scopus 로고    scopus 로고
    • The bidimensionality theory and its algorithmic applications
    • Demaine, E.D., Hajiaghayi, M.: The bidimensionality theory and its algorithmic applications. Comput. J. 51, 292-302 (2008)
    • (2008) Comput. J. , vol.51 , pp. 292-302
    • Demaine, E.D.1    Hajiaghayi, M.2
  • 17
    • 20744433043 scopus 로고    scopus 로고
    • Demaine, E.D., Hajiaghayi, M.: Bidimensionality: New connections between FPT algorithms and PTASs. In: Proceedings of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2005), Vancouver, January 2005, pp. 590-601
    • Demaine, E.D., Hajiaghayi, M.: Bidimensionality: New connections between FPT algorithms and PTASs. In: Proceedings of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2005), Vancouver, January 2005, pp. 590-601
  • 18
    • 33745188001 scopus 로고    scopus 로고
    • Subexponential parameterized algorithms on graphs of bounded genus and H-minor-free graphs
    • Demaine, E.D., Fomin, F.V., Hajiaghayi, M., Thilikos, D.M.: Subexponential parameterized algorithms on graphs of bounded genus and H-minor-free graphs. J. ACM 52, 866-893 (2005)
    • (2005) J. ACM , vol.52 , pp. 866-893
    • Demaine, E.D.1    Fomin, F.V.2    Hajiaghayi, M.3    Thilikos, D.M.4
  • 19
    • 0000134883 scopus 로고
    • Fixed-parameter tractability and completeness I: Basic results
    • Downey, R.G., Fellows, M.R.: Fixed-parameter tractability and completeness I: basic results. SIAM J. Comput. 24, 873-921 (1995)
    • (1995) SIAM J. Comput. , vol.24 , pp. 873-921
    • Downey, R.G.1    Fellows, M.R.2
  • 20
    • 0029290085 scopus 로고
    • Fixed-parameter tractability and completeness II: On completeness for W[1]
    • Downey, R.G., Fellows, M.R.: Fixed-parameter tractability and completeness II: on completeness for W[1]. Theor. Comput. Sci. 141, 109-131 (1995)
    • (1995) Theor. Comput. Sci. , vol.141 , pp. 109-131
    • Downey, R.G.1    Fellows, M.R.2
  • 23
    • 0038542579 scopus 로고    scopus 로고
    • Parameterized complexity: A framework for systematically confronting computational intractability
    • Prague1997AMS-DIMACS Series in Discrete Mathematics and Theoretical Computer Science49, R. Graham, J. Kratochvil, J. Nesetril, and F. Roberts (Eds.), New York: AMS
    • Downey, R., Fellows, M., Stege, U.: Parameterized complexity: a framework for systematically confronting computational intractability. In: Graham, R., Kratochvil, J., Nesetril, J., Roberts, F. (eds.) Contemporary Trends in Discrete Mathematics, Proceedings of the DIMACS-DIMATIA Workshop on the Future of Discrete Mathematics, Prague, 1997. AMS-DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 49, pp. 49-99. AMS, New York (1999)
    • (1999) Contemporary Trends in Discrete Mathematics, Proceedings of the DIMACS-DIMATIA Workshop on the Future of Discrete Mathematics , pp. 49-99
    • Downey, R.1    Fellows, M.2    Stege, U.3
  • 25
    • 84875562789 scopus 로고    scopus 로고
    • Estivill-Castro, V., Fellows, M., Langston, M., Rosamond, F.: Fixed-parameter tractability is P-time extremal structure theory I: The case of max leaf. In: Proceedings of ACiD 2005: Algorithms and Complexity in Durham, pp. 1-41 (2005)
    • Estivill-Castro, V., Fellows, M., Langston, M., Rosamond, F.: Fixed-parameter tractability is P-time extremal structure theory I: The case of max leaf. In: Proceedings of ACiD 2005: Algorithms and Complexity in Durham, pp. 1-41 (2005)
  • 26
    • 0042875770 scopus 로고    scopus 로고
    • Parameterized complexity: The main ideas and connections to practical computing
    • Lecture Notes in Computer Science2547, Berlin: Springer
    • Fellows, M.: Parameterized complexity: the main ideas and connections to practical computing. In: Experimental Algorithmics. Lecture Notes in Computer Science, vol. 2547, pp. 51-77. Springer, Berlin (2002)
    • (2002) Experimental Algorithmics , pp. 51-77
    • Fellows, M.1
  • 27
    • 0344823731 scopus 로고    scopus 로고
    • Blow-ups, win/win's and crown rules: Some new directions in FPT
    • Lecture Notes in Computer Science2880, Berlin: Springer
    • Fellows, M.R.: Blow-ups, win/win's and crown rules: Some new directions in FPT. In: Proceedings WG 2003. Lecture Notes in Computer Science, vol. 2880, pp. 1-12. Springer, Berlin (2003)
    • (2003) Proceedings WG 2003 , pp. 1-12
    • Fellows, M.R.1
  • 28
    • 0024768844 scopus 로고    scopus 로고
    • Fellows, M., Langston, M.A.: An analogue of the Myhill-Nerode theorem and its use in computing finite-basis characterizations. In: Proceedings Thirtieth IEEE Symposium on the Foundations of Computer Science (FOCS), pp. 520-525 (1989)
    • Fellows, M., Langston, M.A.: An analogue of the Myhill-Nerode theorem and its use in computing finite-basis characterizations. In: Proceedings Thirtieth IEEE Symposium on the Foundations of Computer Science (FOCS), pp. 520-525 (1989).
  • 29
    • 0024865397 scopus 로고    scopus 로고
    • Fellows, M., Langston, M.A.: On search, decision and the efficiency of polynomial-time algorithms. In: Proc. Symp. on Theory of Computing (STOC), pp. 501-512 (1989)
    • Fellows, M., Langston, M.A.: On search, decision and the efficiency of polynomial-time algorithms. In: Proc. Symp. on Theory of Computing (STOC), pp. 501-512 (1989).
  • 30
    • 38149082727 scopus 로고    scopus 로고
    • On the complexity of some colorful problems parameterized by treewidth
    • Lecture Notes in Computer Science4616, Berlin: Springer
    • Fellows, M., Fomin, F., Lokshtanov, D., Rosamond, F., Saurabh, S., Szeider, S., Thomassen, C.: On the complexity of some colorful problems parameterized by treewidth. In: Proceedings of COCOA 2007. Lecture Notes in Computer Science, vol. 4616, pp. 366-377. Springer, Berlin (2007)
    • (2007) Proceedings of COCOA 2007 , pp. 366-377
    • Fellows, M.1    Fomin, F.2    Lokshtanov, D.3    Rosamond, F.4    Saurabh, S.5    Szeider, S.6    Thomassen, C.7
  • 31
    • 84875570300 scopus 로고    scopus 로고
    • Fellows M., Downey R., Langston M. (eds.), Two special issues of surveys of various aspects of parameterized complexity and algorithmics. Comput. J. 51(1, 3) (2008)
    • Fellows M., Downey R., Langston M. (eds.), Two special issues of surveys of various aspects of parameterized complexity and algorithmics. Comput. J. 51(1, 3) (2008)
  • 32
    • 58549096353 scopus 로고    scopus 로고
    • Graph layout problems parameterized by Vertex Cover
    • Lecture Notes in Computer Science5369, Berlin: Springer
    • Fellows, M., Lokshtanov, D., Misra, N., Rosamond, F., Saurabh, S.: Graph layout problems parameterized by Vertex Cover. In: Proceedings of ISAAC 2008. Lecture Notes in Computer Science, vol. 5369, pp. 294-305. Springer, Berlin (2008)
    • (2008) Proceedings of ISAAC 2008. , pp. 294-305
    • Fellows, M.1    Lokshtanov, D.2    Misra, N.3    Rosamond, F.4    Saurabh, S.5
  • 34
    • 84949458886 scopus 로고    scopus 로고
    • Query evaluation via tree-decompositions
    • Lecture Notes in Computer Science1973, Berlin: Springer
    • Flum, J., Frick, M., Grohe, M.: Query evaluation via tree-decompositions. In: Proc. ICDT. Lecture Notes in Computer Science, vol. 1973, pp. 22-32. Springer, Berlin (2001)
    • (2001) Proc. ICDT , pp. 22-32
    • Flum, J.1    Frick, M.2    Grohe, M.3
  • 35
    • 26844452916 scopus 로고    scopus 로고
    • Exact (exponential) algorithms for the dominating set problem
    • Lecture Notes in Computer Science3353, Berlin: Springer
    • Fomin, F., Kratsch, D., Woeginger, G.: Exact (exponential) algorithms for the dominating set problem. In: Proceedings of WG 2004. Lecture Notes in Computer Science, vol. 3353, pp. 245-256. Springer, Berlin (2004)
    • (2004) Proceedings of WG 2004 , pp. 245-256
    • Fomin, F.1    Kratsch, D.2    Woeginger, G.3
  • 36
    • 0034819725 scopus 로고    scopus 로고
    • The parameterized complexity of database queries
    • Providence: ACM
    • Grohe, M.: The parameterized complexity of database queries. In: Proc. PODS 2001, pp. 82-92. ACM, Providence (2001)
    • (2001) Proc. PODS 2001 , pp. 82-92
    • Grohe, M.1
  • 37
    • 84947246533 scopus 로고    scopus 로고
    • Definability and descriptive complexity on databases with bounded treewidth
    • Lecture Notes in Computer Science1540, Berlin: Springer
    • Grohe, M., Marino, J.: Definability and descriptive complexity on databases with bounded treewidth. In: Proceedings of the 7th International Conference on Database Theory. Lecture Notes in Computer Science, vol. 1540, pp. 70-82. Springer, Berlin (1999)
    • (1999) Proceedings of the 7th International Conference on Database Theory , pp. 70-82
    • Grohe, M.1    Marino, J.2
  • 38
    • 84875575691 scopus 로고    scopus 로고
    • Guo, J., Niedermeier, R.: Invitation to data reduction and problem kernelization. SIGACT News 31-45 (2007)
    • Guo, J., Niedermeier, R.: Invitation to data reduction and problem kernelization. SIGACT News 31-45 (2007).
  • 39
    • 0001050402 scopus 로고
    • The traveling-salesman problem and minimum spanning trees
    • Held, M., Karp, R.: The traveling-salesman problem and minimum spanning trees. Oper. Res. 18, 1138-1162 (1970)
    • (1970) Oper. Res. , vol.18 , pp. 1138-1162
    • Held, M.1    Karp, R.2
  • 41
    • 0035734883 scopus 로고    scopus 로고
    • Which problems have strongly exponential complexity
    • Impagliazzo, R., Paturi, R.: Which problems have strongly exponential complexity? J. Comput. Syst. Sci. 63, 512-530 (2001)
    • (2001) J. Comput. Syst. Sci. , vol.63 , pp. 512-530
    • Impagliazzo, R.1    Paturi, R.2
  • 42
    • 84976662471 scopus 로고
    • An analysis of ML typability
    • Kfoury, A.J., Tiuryn, J., Urzyczyn, P.: An analysis of ML typability. J. ACM 41, 368-398 (1994)
    • (1994) J. ACM , vol.41 , pp. 368-398
    • Kfoury, A.J.1    Tiuryn, J.2    Urzyczyn, P.3
  • 44
    • 34250404286 scopus 로고
    • Vertex packings: Structural properties and algorithms
    • Nemhauser, G.L., Trotter, L.E.: Vertex packings: structural properties and algorithms. Math. Program. 8, 232-248 (1975)
    • (1975) Math. Program. , vol.8 , pp. 232-248
    • Nemhauser, G.L.1    Trotter, L.E.2
  • 45
    • 0010806455 scopus 로고
    • On the complexity of the subgraph problem
    • Nesetril, J., Poljak, S.: On the complexity of the subgraph problem. Commun. Math. Univ. Carol. 26, 415-419 (1985)
    • (1985) Commun. Math. Univ. Carol. , vol.26 , pp. 415-419
    • Nesetril, J.1    Poljak, S.2
  • 46
    • 35048824578 scopus 로고    scopus 로고
    • Ubiquitous parameterization-invitation to fixed-parameter algorithms
    • Lecture Notes in Computer Science3153, Berlin: Springer
    • Niedermeier, R.: Ubiquitous parameterization-invitation to fixed-parameter algorithms. In: Mathematical Foundations of Computer Science MFCS 2004. Lecture Notes in Computer Science, vol. 3153, pp. 84-103. Springer, Berlin (2004)
    • (2004) Mathematical Foundations of Computer Science MFCS 2004 , pp. 84-103
    • Niedermeier, R.1
  • 48
    • 35048859082 scopus 로고    scopus 로고
    • Either/Or: Using vertex cover structure in designing FPT algorithms-the case of k-internal spanning tree
    • Lecture Notes in Computer Science2748, Berlin: Springer
    • Prieto, E., Sloper, C.: Either/Or: using vertex cover structure in designing FPT algorithms-the case of k-internal spanning tree. In: Proc. WADS'03. Lecture Notes in Computer Science, vol. 2748, pp. 474-483. Springer, Berlin (2003)
    • (2003) Proc. WADS'03 , pp. 474-483
    • Prieto, E.1    Sloper, C.2
  • 49
    • 84875557745 scopus 로고    scopus 로고
    • Prieto-Rodriguez, E.: Systematic kernelization in FPT algorithm design. Ph.D. Thesis, School of EE&CS, University of Newcastle, Australia (2005)
    • Prieto-Rodriguez, E.: Systematic kernelization in FPT algorithm design. Ph.D. Thesis, School of EE&CS, University of Newcastle, Australia (2005).
  • 50
    • 84875560014 scopus 로고    scopus 로고
    • Raman, V.: Parameterized complexity. In: Proceedings of the 7th National Seminar on Theoretical Computer Science, Chennai, India, pp. 1-18 (1997)
    • Raman, V.: Parameterized complexity. In: Proceedings of the 7th National Seminar on Theoretical Computer Science, Chennai, India, pp. 1-18 (1997)
  • 51
    • 0001814458 scopus 로고
    • Graph minors: A survey
    • J. Anderson (Ed.), Cambridge: Cambridge University Press
    • Robertson, N., Seymour, P.: Graph minors: a survey. In: Anderson, J. (ed.) Surveys in Combinatorics, pp. 153-171. Cambridge University Press, Cambridge (1985)
    • (1985) Surveys in Combinatorics , pp. 153-171
    • Robertson, N.1    Seymour, P.2
  • 53
    • 54249096048 scopus 로고    scopus 로고
    • Monadic second order logic on graphs with local cardinality constraints
    • Berlin: Springer
    • Szeider, S.: Monadic second order logic on graphs with local cardinality constraints. In: Proc. MFCS 2008, pp. 601-612. Springer, Berlin (2008)
    • (2008) Proc. MFCS 2008 , pp. 601-612
    • Szeider, S.1
  • 54
    • 84875575054 scopus 로고    scopus 로고
    • Szeider, S.: Not so easy problems for tree decomposable graphs. In: Proceedings of ICDM 2008. pp. 161-171, Mysore (2008)
    • Szeider, S.: Not so easy problems for tree decomposable graphs. In: Proceedings of ICDM 2008. pp. 161-171, Mysore (2008)
  • 55
    • 84936763747 scopus 로고
    • Practical algorithms on partial k-trees with an application to domination-like problems
    • Lecture Notes Computer Science709, Berlin: Springer
    • Telle, J.A., Proskurowski, A.: Practical algorithms on partial k-trees with an application to domination-like problems. In: Proceedings WADS'93-The Third Workshop on Algorithms and Data Structures. Lecture Notes Computer Science, vol. 709, pp. 610-621. Springer, Berlin (1993)
    • (1993) Proceedings WADS'93-the Third Workshop on Algorithms and Data Structures , pp. 610-621
    • Telle, J.A.1    Proskurowski, A.2
  • 56
    • 84875563129 scopus 로고    scopus 로고
    • Weihe, K.: Covering trains by stations, or the power of data reduction. In: Proc. ALEX'98, pp. 1-8 (1998)
    • Weihe, K.: Covering trains by stations, or the power of data reduction. In: Proc. ALEX'98, pp. 1-8 (1998)


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