메뉴 건너뛰기




Volumn 233, Issue 1-2, 2000, Pages 107-127

On computing graph minor obstruction sets

Author keywords

Automatic theorem proving; Finite automata; Graph minors; Intertwines; Obstruction set computation; Well quasi ordering

Indexed keywords


EID: 0042864339     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(97)00300-9     Document Type: Article
Times cited : (34)

References (26)
  • 1
    • 0000849902 scopus 로고
    • Finite automata, bounded treewidth and well-quasiordering
    • American Mathematical Society, Providence, RI
    • K.R. Abrahamson, M.R. Fellows, Finite automata, bounded treewidth and well-quasiordering, in: Graph Structure Theory, Contemporary Mathematics, vol. 147, American Mathematical Society, Providence, RI, 1993, pp. 539-564.
    • (1993) Graph Structure Theory, Contemporary Mathematics , vol.147 , pp. 539-564
    • Abrahamson, K.R.1    Fellows, M.R.2
  • 2
    • 0346520757 scopus 로고
    • Monadic second-order logic: Tree automata and forbidden minors
    • University of Oregon, Dept. of Computer and Information Sciences UOCIS-TR-90/23
    • S. Arnborg, A. Proskurowski, D. Seese, Monadic second-order logic: tree automata and forbidden minors, Technical Report, University of Oregon, Dept. of Computer and Information Sciences UOCIS-TR-90/23, 1990.
    • (1990) Technical Report
    • Arnborg, S.1    Proskurowski, A.2    Seese, D.3
  • 4
    • 85010120898 scopus 로고
    • Two strikes against perfect phylogeny
    • Proc. 19th Internat. Colloq. on Automata, Languages and Programming (ICALP '92), Springer, Berlin
    • H.P. Bodlaender, M.R. Fellows, T.J. Warnow, Two strikes against perfect phylogeny, Proc. 19th Internat. Colloq. on Automata, Languages and Programming (ICALP '92), Lecture Notes in Computer Science, vol. 623, Springer, Berlin, 1992, pp. 273-283.
    • (1992) Lecture Notes in Computer Science , vol.623 , pp. 273-283
    • Bodlaender, H.P.1    Fellows, M.R.2    Warnow, T.J.3
  • 5
    • 84968399542 scopus 로고
    • A characterization of graphs with vertex cover up to five
    • Proc. ORDAL'94, Springer, Berlin
    • K. Cattell, M.J. Dinneen, A characterization of graphs with vertex cover up to five, Proc. ORDAL'94, Lecture Notes in Computer Science, vol. 831, Springer, Berlin, 1994, pp. 86-99.
    • (1994) Lecture Notes in Computer Science , vol.831 , pp. 86-99
    • Cattell, K.1    Dinneen, M.J.2
  • 6
    • 84958063256 scopus 로고
    • Obstructions to within a few vertices or edges of acyclic
    • Proceedings WADS'95, Springer, Berlin
    • K. Cattell, M.J. Dinneen, M.R. Fellows, Obstructions to within a few vertices or edges of acyclic, Proceedings WADS'95, Lecture Notes in Computer Science, vol. 955, Springer, Berlin, 1995, pp. 415-427.
    • (1995) Lecture Notes in Computer Science , vol.955 , pp. 415-427
    • Cattell, K.1    Dinneen, M.J.2    Fellows, M.R.3
  • 7
    • 0042040348 scopus 로고    scopus 로고
    • A simple linear time algorithm for finding path decompositions of small width
    • K. Cattell, M.J. Dinneen, M.R. Fellows, A simple linear time algorithm for finding path decompositions of small width, Inform. Process. Lett. 57 (1996) 197-203.
    • (1996) Inform. Process. Lett. , vol.57 , pp. 197-203
    • Cattell, K.1    Dinneen, M.J.2    Fellows, M.R.3
  • 8
    • 0025398865 scopus 로고
    • The monadic second order logic of graphs I: Recognizable sets of finite graphs
    • B. Courcelle, The monadic second order logic of graphs I: recognizable sets of finite graphs, Inform. and Comput. 85 (1990) 12-75.
    • (1990) Inform. and Comput. , vol.85 , pp. 12-75
    • Courcelle, B.1
  • 9
    • 0346520754 scopus 로고    scopus 로고
    • Equivalent definitions of recognizability for graphs of bounded tree-width
    • B. Courcelle, J. Lagergren, Equivalent definitions of recognizability for graphs of bounded tree-width, Math. Struct. Comput. Sci. 6 (1996) 141-165.
    • (1996) Math. Struct. Comput. Sci. , vol.6 , pp. 141-165
    • Courcelle, B.1    Lagergren, J.2
  • 10
    • 0002721363 scopus 로고
    • Parameterized computational feasibility
    • P. Clote, J. Remmel (Eds.), Birkhauser, Basel
    • R. Downey, M. Fellows, Parameterized computational feasibility, in: P. Clote, J. Remmel (Eds.), Proc. 2nd Cornell Workshop on Feasible Mathematics, Birkhauser, Basel, 1985, pp. 219-244.
    • (1985) Proc. 2nd Cornell Workshop on Feasible Mathematics , pp. 219-244
    • Downey, R.1    Fellows, M.2
  • 11
    • 85010136218 scopus 로고
    • DNA physical mapping: Three ways difficult
    • Proc. 1st Eur. Symp. on Algorithms (ESA '93), Springer, Berlin
    • M.R. Fellows, M.T. Hallett, T. Wareham, DNA physical mapping: three ways difficult, Proc. 1st Eur. Symp. on Algorithms (ESA '93), Lecture Notes in Computer Science, vol. 726, Springer, Berlin, 1993, pp. 157-168.
    • (1993) Lecture Notes in Computer Science , vol.726 , pp. 157-168
    • Fellows, M.R.1    Hallett, M.T.2    Wareham, T.3
  • 12
    • 0024053329 scopus 로고
    • Nonconstructive tools for proving polynomial-time decidability
    • M.R. Fellows, M.A. Langston, Nonconstructive tools for proving polynomial-time decidability, J. ACM 35 (1988) 727-739.
    • (1988) J. ACM , vol.35 , pp. 727-739
    • Fellows, M.R.1    Langston, M.A.2
  • 13
    • 0024865397 scopus 로고
    • On search, decision and the efficiency of polynomial-time algorithms
    • ACM, New York
    • M.R. Fellows, M.A. Langston, On search, decision and the efficiency of polynomial-time algorithms, Proc. Symp. on the Theory of Computing (STOC), ACM, New York, 1989, pp. 501-512.
    • (1989) Proc. Symp. on the Theory of Computing (STOC) , pp. 501-512
    • Fellows, M.R.1    Langston, M.A.2
  • 14
    • 0024768844 scopus 로고
    • An analogue of the Myhill-Nerode theorem and its use in computing finite-basis characterizations
    • IEEE Press, New York
    • M.R. Fellows, M.A. Langston, An analogue of the Myhill-Nerode theorem and its use in computing finite-basis characterizations, Proc. Symp. on the Foundations of Computer Science (FOCS), IEEE Press, New York, 1989, pp. 520-525.
    • (1989) Proc. Symp. on the Foundations of Computer Science (FOCS) , pp. 520-525
    • Fellows, M.R.1    Langston, M.A.2
  • 16
    • 0347151061 scopus 로고
    • Constructive obstruction set isolation for min cut linear arrangement
    • Computer Science Department, Univ. of Iowa, Ames, Iowa
    • N.G. Kinnersley, Constructive obstruction set isolation for min cut linear arrangement, Technical Report, 1994, Computer Science Department, Univ. of Iowa, Ames, Iowa.
    • (1994) Technical Report
    • Kinnersley, N.G.1
  • 17
    • 0041361597 scopus 로고
    • Obstruction set isolation for the gate matrix layout problem
    • N.G. Kinnersley, M.A. Langston, Obstruction set isolation for the gate matrix layout problem, Discrete Appl. Math. 54 (1994) 169-213.
    • (1994) Discrete Appl. Math. , vol.54 , pp. 169-213
    • Kinnersley, N.G.1    Langston, M.A.2
  • 18
    • 5744241113 scopus 로고
    • An upper bound on the size of an obstruction
    • American Mathematical Society, Providence, RI
    • J. Lagergren, An upper bound on the size of an obstruction, in: Graph Structure Theory, Contemporary Mathematics, vol. 147, American Mathematical Society, Providence, RI, 1993, pp. 601-622.
    • (1993) Graph Structure Theory, Contemporary Mathematics , vol.147 , pp. 601-622
    • Lagergren, J.1
  • 19
    • 0013363409 scopus 로고
    • Finding minimal forbidden minors using a finite congruence
    • Proc. 18th Internat. Colloq. on Automata, Languages and Programming (ICALP), Springer, Berlin
    • J. Lagergren, S. Amborg, Finding minimal forbidden minors using a finite congruence, Proc. 18th Internat. Colloq. on Automata, Languages and Programming (ICALP), Lecture Notes in Computer Science, vol. 510, Springer, Berlin, 1991, pp. 533-543.
    • (1991) Lecture Notes in Computer Science , vol.510 , pp. 533-543
    • Lagergren, J.1    Amborg, S.2
  • 20
    • 84951670480 scopus 로고
    • Hinreichende dedingungen fur die existenz von teilgraphen, die zu einem vollstandigen graphen homomorph sind
    • W. Mader, Hinreichende dedingungen fur die existenz von teilgraphen, die zu einem vollstandigen graphen homomorph sind, Abh. Math, Sem. Hamburg Univ. 37 (1972) 86-97.
    • (1972) Abh. Math, Sem. Hamburg Univ. , vol.37 , pp. 86-97
    • Mader, W.1
  • 22
    • 0347781150 scopus 로고
    • Graph reductions, and techniques for finding minimal forbidden minors
    • American Mathematical Society, Providence, RI
    • A. Proskurowski, Graph reductions, and techniques for finding minimal forbidden minors, in: Graph Structure Theory, Contemporary Mathematics, vol. 147, American Mathematical Society, Providence, RI, 1993, pp. 591-600.
    • (1993) Graph Structure Theory, Contemporary Mathematics , vol.147 , pp. 591-600
    • Proskurowski, A.1
  • 24
    • 0001814458 scopus 로고
    • Graphs minors - A survey
    • I. Anderson (Ed.), Cambridge University Press, Cambridge
    • N. Robertson, P.D. Seymour, Graphs minors - a survey, in: I. Anderson (Ed.), Surveys in Combinatorics, Cambridge University Press, 1985, Cambridge, pp. 153-171.
    • (1985) Surveys in Combinatorics , pp. 153-171
    • Robertson, N.1    Seymour, P.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.