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Volumn 3381, Issue , 2005, Pages 1-16

Discovering treewidth

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; GRAPH THEORY; PARAMETER ESTIMATION;

EID: 24144488303     PISSN: 03029743     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-540-30577-4_1     Document Type: Conference Paper
Times cited : (138)

References (91)
  • 1
    • 33645606162 scopus 로고    scopus 로고
    • Experimental evaluation of a tree decomposition based algorithm for vertex cover on planar graphs
    • To appear in
    • J. Alber, F. Dorn, and R. Niedermeier. Experimental evaluation of a tree decomposition based algorithm for vertex cover on planar graphs. To appear in Discrete Applied Mathematics, 2004.
    • (2004) Discrete Applied Mathematics
    • Alber, J.1    Dorn, F.2    Niedermeier, R.3
  • 4
    • 0000529099 scopus 로고
    • Characterization and recognition of partial 3-trees
    • S. Arnborg and A. Proskurowski. Characterization and recognition of partial 3-trees. SIAM J. Alg. Disc. Meth., 7:305-314, 1986.
    • (1986) SIAM J. Alg. Disc. Meth. , vol.7 , pp. 305-314
    • Arnborg, S.1    Proskurowski, A.2
  • 5
    • 33645589114 scopus 로고    scopus 로고
    • New upper bound heuristics for treewidth
    • Institute for Information and Computing Sciences, Utrecht University, Utrecht, the Netherlands
    • E. Bachoore and H. L. Bodlaender. New upper bound heuristics for treewidth. Technical Report UU-CS-2004-036, Institute for Information and Computing Sciences, Utrecht University, Utrecht, the Netherlands, 2004.
    • (2004) Technical Report , vol.UU-CS-2004-036
    • Bachoore, E.1    Bodlaender, H.L.2
  • 6
    • 0035121292 scopus 로고    scopus 로고
    • A sufficiently fast algorithm for finding close to optimal clique trees
    • A. Becker and D. Geiger. A sufficiently fast algorithm for finding close to optimal clique trees. Artificial Intelligence, 125:3-17, 2001.
    • (2001) Artificial Intelligence , vol.125 , pp. 3-17
    • Becker, A.1    Geiger, D.2
  • 7
    • 21044444304 scopus 로고    scopus 로고
    • Maximum cardinality search for computing minimal triangulations of graphs
    • A. Berry, J. Blair, P. Heggernes, and B. Peyton. Maximum cardinality search for computing minimal triangulations of graphs. Algorithmica, 39:287-298, 2004.
    • (2004) Algorithmica , vol.39 , pp. 287-298
    • Berry, A.1    Blair, J.2    Heggernes, P.3    Peyton, B.4
  • 8
    • 0034911146 scopus 로고    scopus 로고
    • A practical algorithm for making filled graphs minimal
    • J. R. S. Blair, P. Heggernes, and J. Telle. A practical algorithm for making filled graphs minimal. Theor. Comp. Sc., 250:125-141, 2001.
    • (2001) Theor. Comp. Sc. , vol.250 , pp. 125-141
    • Blair, J.R.S.1    Heggernes, P.2    Telle, J.3
  • 9
    • 85037918238 scopus 로고
    • A tourist guide through treewidth
    • H. L. Bodlaender. A tourist guide through treewidth. Acta Cybernetica, 11:1-23, 1993.
    • (1993) Acta Cybernetica , vol.11 , pp. 1-23
    • Bodlaender, H.L.1
  • 10
    • 0348074311 scopus 로고
    • Improved self-reduction algorithms for graphs with bounded treewidth
    • H. L. Bodlaender. Improved self-reduction algorithms for graphs with bounded treewidth. Disc. Appl. Math., 54:101-115, 1994.
    • (1994) Disc. Appl. Math. , vol.54 , pp. 101-115
    • Bodlaender, H.L.1
  • 11
    • 0001294529 scopus 로고    scopus 로고
    • A linear time algorithm for finding tree-decompositions of small treewidth
    • H. L. Bodlaender. A linear time algorithm for finding tree-decompositions of small treewidth. SIAM J. Comput., 25:1305-1317, 1996.
    • (1996) SIAM J. Comput. , vol.25 , pp. 1305-1317
    • Bodlaender, H.L.1
  • 12
    • 0002981945 scopus 로고    scopus 로고
    • A partial k-arboretum of graphs with bounded treewidth
    • H. L. Bodlaender. A partial k-arboretum of graphs with bounded treewidth. Theor. Comp. Sc., 209:1-45, 1998.
    • (1998) Theor. Comp. Sc. , vol.209 , pp. 1-45
    • Bodlaender, H.L.1
  • 13
    • 0008799320 scopus 로고
    • Approximating treewidth, pathwidth, frontsize, and minimum elimination tree height
    • H. L. Bodlaender, J. R. Gilbert, H. Hafsteinsson, and T. Kloks. Approximating treewidth, pathwidth, frontsize, and minimum elimination tree height. J. Algorithms, 18:238-255, 1995.
    • (1995) J. Algorithms , vol.18 , pp. 238-255
    • Bodlaender, H.L.1    Gilbert, J.R.2    Hafsteinsson, H.3    Kloks, T.4
  • 14
    • 0032320906 scopus 로고    scopus 로고
    • Parallel algorithms with optimal speedup for bounded treewidth
    • H. L. Bodlaender and T. Hagerup. Parallel algorithms with optimal speedup for bounded treewidth. SIAM J. Comput., 27:1725-1746, 1998.
    • (1998) SIAM J. Comput. , vol.27 , pp. 1725-1746
    • Bodlaender, H.L.1    Hagerup, T.2
  • 15
    • 0030356420 scopus 로고    scopus 로고
    • Efficient and constructive algorithms for the pathwidth and treewidth of graphs
    • H. L. Bodlaender and T. Kloks. Efficient and constructive algorithms for the pathwidth and treewidth of graphs. J. Algorithms, 21:358-402, 1996.
    • (1996) J. Algorithms , vol.21 , pp. 358-402
    • Bodlaender, H.L.1    Kloks, T.2
  • 17
    • 24944551138 scopus 로고    scopus 로고
    • On the maximum cardinality search lower bound for treewidth
    • Extended abstract to appear in
    • H. L. Bodlaender and A. M. C. A. Koster. On the maximum cardinality search lower bound for treewidth, 2004. Extended abstract to appear in proceedings WG 2004.
    • (2004) Proceedings WG 2004
    • Bodlaender, H.L.1    Koster, A.M.C.A.2
  • 20
    • 35048828795 scopus 로고    scopus 로고
    • Contraction and treewidth lower bounds
    • S. Albers and T. Radzik, editors, Springer, Lecture Notes in Computer Science
    • H. L. Bodlaender, A. M. C. A. Koster, and T. Wolle. Contraction and treewidth lower bounds. In S. Albers and T. Radzik, editors, Proceedings 12th Annual European Symposium on Algorithms, ESA2004, pages 628-639. Springer, Lecture Notes in Computer Science, vol. 3221, 2004.
    • (2004) Proceedings 12th Annual European Symposium on Algorithms, ESA2004 , vol.3221 , pp. 628-639
    • Bodlaender, H.L.1    Koster, A.M.C.A.2    Wolle, T.3
  • 23
    • 0942300999 scopus 로고    scopus 로고
    • Computing the treewidth and the minimum fill-in with the modular decomposition
    • H. L. Bodlaender and U. Roties. Computing the treewidth and the minimum fill-in with the modular decomposition. Algorithmica, 36:375-408, 2003.
    • (2003) Algorithmica , vol.36 , pp. 375-408
    • Bodlaender, H.L.1    Roties, U.2
  • 24
    • 0041620189 scopus 로고    scopus 로고
    • Treewidth for graphs with small chordality
    • H. L. Bodlaender and D. M. Thilikos. Treewidth for graphs with small chordality. Disc. Appl. Math., 79:45-61, 1997.
    • (1997) Disc. Appl. Math. , vol.79 , pp. 45-61
    • Bodlaender, H.L.1    Thilikos, D.M.2
  • 25
    • 0242364685 scopus 로고    scopus 로고
    • Parallel algorithms for series parallel graphs and graphs with treewidth two
    • H. L. Bodlaender and B. van Antwerpen-de Fluiter. Parallel algorithms for series parallel graphs and graphs with treewidth two. Algorithmica, 29:543-559, 2001.
    • (2001) Algorithmica , vol.29 , pp. 543-559
    • Bodlaender, H.L.1    Van Antwerpen-De Fluiter, B.2
  • 26
    • 33645603836 scopus 로고    scopus 로고
    • Contraction degeneracy on cographs
    • Institute for Information and Computing Sciences, Utrecht University, Utrecht, the Netherlands
    • H. L. Bodlaender and T. Wolle. Contraction degeneracy on cographs. Technical Report UU-CS-2004-031, Institute for Information and Computing Sciences, Utrecht University, Utrecht, the Netherlands, 2004.
    • (2004) Technical Report , vol.UU-CS-2004-031
    • Bodlaender, H.L.1    Wolle, T.2
  • 28
    • 0036215402 scopus 로고    scopus 로고
    • Treewidth and minimum fill-in: Grouping the minimal separators
    • V. Bouchitté and I. Todinca. Treewidth and minimum fill-in: Grouping the minimal separators. SIAM J. Comput., 31:212-232, 2001.
    • (2001) SIAM J. Comput. , vol.31 , pp. 212-232
    • Bouchitté, V.1    Todinca, I.2
  • 29
    • 0037029296 scopus 로고    scopus 로고
    • Listing all potential maximal cliques of a graph
    • V. Bouchitté and I. Todinca. Listing all potential maximal cliques of a graph. Theor. Comp. Sc., 276:17-32, 2002.
    • (2002) Theor. Comp. Sc. , vol.276 , pp. 17-32
    • Bouchitté, V.1    Todinca, I.2
  • 30
    • 0041360445 scopus 로고    scopus 로고
    • Approximating the treewidth of at-free graphs
    • V. Bouchitté and I. Todinca. Approximating the treewidth of at-free graphs. Disc. Appl. Math., 131:11-37, 2003.
    • (2003) Disc. Appl. Math. , vol.131 , pp. 11-37
    • Bouchitté, V.1    Todinca, I.2
  • 31
    • 0345618553 scopus 로고    scopus 로고
    • A linear time algorithm for minimum fill in and tree width for distance hereditary graphs
    • H. Broersma, E. Dahlhaus, and T. Kloks. A linear time algorithm for minimum fill in and tree width for distance hereditary graphs. Disc. Appl. Math., 99:367-400, 2000.
    • (2000) Disc. Appl. Math. , vol.99 , pp. 367-400
    • Broersma, H.1    Dahlhaus, E.2    Kloks, T.3
  • 32
    • 0141888235 scopus 로고    scopus 로고
    • A generalization of AT-free graphs and a generic algorithm for solving triangulation problems
    • H. Broersma, T. Kloks, D. Kratsch, and H. Müller. A generalization of AT-free graphs and a generic algorithm for solving triangulation problems. Algorithmica, 32:594-610, 2002.
    • (2002) Algorithmica , vol.32 , pp. 594-610
    • Broersma, H.1    Kloks, T.2    Kratsch, D.3    Müller, H.4
  • 33
    • 2342466771 scopus 로고    scopus 로고
    • Heuristic and meta-heuristic methods for computing graph treewidth
    • F. Clautiaux, S. N. A. Moukrim, and J. Carlier. Heuristic and meta-heuristic methods for computing graph treewidth. RAIRO Oper. Res., 38:13-26, 2004.
    • (2004) RAIRO Oper. Res. , vol.38 , pp. 13-26
    • Clautiaux, F.1    Moukrim, S.N.A.2    Carlier, J.3
  • 35
    • 2042460404 scopus 로고    scopus 로고
    • Tour merging via branch-decomposition
    • W. Cook and P. D. Seymour. Tour merging via branch-decomposition. Informs J. on Computing, 15(3):233-248, 2003.
    • (2003) Informs J. on Computing , vol.15 , Issue.3 , pp. 233-248
    • Cook, W.1    Seymour, P.D.2
  • 36
    • 0034399867 scopus 로고    scopus 로고
    • Linear time solvable optimization problems on graphs of bounded clique width
    • B. Courcelle, J. A. Makowsky, and U. Roties. Linear time solvable optimization problems on graphs of bounded clique width. Theor. Comp. Sc., 33:125-150, 2000.
    • (2000) Theor. Comp. Sc. , vol.33 , pp. 125-150
    • Courcelle, B.1    Makowsky, J.A.2    Roties, U.3
  • 38
    • 84947910622 scopus 로고    scopus 로고
    • Minimum fill-in and treewidth for graphs modularly decomposable into chordal graphs
    • . Springer Verlag, Lecture Notes in Computer Science
    • E. Dahlhaus. Minimum fill-in and treewidth for graphs modularly decomposable into chordal graphs. In Proceedings 24th International Workshop on GraphTheoretic Concepts in Computer Science WG'98, pages 351-358. Springer Verlag, Lecture Notes in Computer Science, vol. 1517, 1998.
    • (1998) Proceedings 24th International Workshop on GraphTheoretic Concepts in Computer Science WG'98 , vol.1517 , pp. 351-358
    • Dahlhaus, E.1
  • 39
    • 0033188982 scopus 로고    scopus 로고
    • Bucket elimination: A unifying framework for reasoning
    • R. Dechter. Bucket elimination: a unifying framework for reasoning. Acta Informatica, 113:41-85, 1999.
    • (1999) Acta Informatica , vol.113 , pp. 41-85
    • Dechter, R.1
  • 42
    • 41549118299 scopus 로고
    • The intersection graphs of subtrees in trees are exactly the chordal graphs
    • F. Gavril. The intersection graphs of subtrees in trees are exactly the chordal graphs. J. Comb. Theory Series B, 16:47-56, 1974.
    • (1974) J. Comb. Theory Series B , vol.16 , pp. 47-56
    • Gavril, F.1
  • 43
    • 27144446304 scopus 로고    scopus 로고
    • A complete anytime algorithm for treewidth
    • Uncertainty in Artificial Intelligence
    • V. Gogate and R. Dechter. A complete anytime algorithm for treewidth. In proceedings UAI'04, Uncertainty in Artificial Intelligence, 2004.
    • (2004) Proceedings UAI'04
    • Gogate, V.1    Dechter, R.2
  • 46
    • 0041621168 scopus 로고
    • Treewidth of cocomparability graphs and a new order-theoretic parameter
    • M. Habib and R. H. Möhring. Treewidth of cocomparability graphs and a new order-theoretic parameter. ORDER, 1:47-60, 1994.
    • (1994) ORDER , vol.1 , pp. 47-60
    • Habib, M.1    Möhring, R.H.2
  • 48
    • 84938097367 scopus 로고    scopus 로고
    • Efficient implementation of a minimal triangulation algorithm
    • R. Möhring and R. Raman, editors. Springer Verlag, Lecture Notes in Computer Science
    • P. Heggernes and Y. Villanger. Efficient implementation of a minimal triangulation algorithm. In R. Möhring and R. Raman, editors, Proceedings of the 10th Annual European Symposium on Algorithms, ESA'2002, pages 550-561. Springer Verlag, Lecture Notes in Computer Science, vol. 2461, 2002.
    • (2002) Proceedings of the 10th Annual European Symposium on Algorithms, ESA'2002 , vol.2461 , pp. 550-561
    • Heggernes, P.1    Villanger, Y.2
  • 49
    • 0000460052 scopus 로고
    • A dynamic programming approach to sequencing problems
    • M. Held and R. Karp. A dynamic programming approach to sequencing problems. J. SIAM, 10:196-210, 1962.
    • (1962) J. SIAM , vol.10 , pp. 196-210
    • Held, M.1    Karp, R.2
  • 50
    • 33645585727 scopus 로고    scopus 로고
    • Graphs, branchwidth, and tangles! Oh my!
    • I. V. Hicks. Graphs, branchwidth, and tangles! Oh my! Working paper, http://ie.tamu.edu/People/faculty/Hicks/default.htm.
    • Working Paper
    • Hicks, I.V.1
  • 51
    • 85149598668 scopus 로고    scopus 로고
    • Planar branch decompositions I: The ratcatcher
    • to appear
    • I. V. Hicks. Planar branch decompositions I: The ratcatcher. INFORMS Journal on Computing (to appear).
    • INFORMS Journal on Computing
    • Hicks, I.V.1
  • 52
    • 85149612220 scopus 로고    scopus 로고
    • Planar branch decompositions II: The cycle method
    • to appear
    • I. V. Hicks. Planar branch decompositions II: The cycle method. INFORMS Journal on Computing (to appear).
    • INFORMS Journal on Computing
    • Hicks, I.V.1
  • 54
    • 14544306524 scopus 로고    scopus 로고
    • Branchwidth heuristics
    • I. V. Hicks. Branchwidth heuristics. Congressus Numerantium, 159:31-50, 2002.
    • (2002) Congressus Numerantium , vol.159 , pp. 31-50
    • Hicks, I.V.1
  • 55
    • 2042546751 scopus 로고    scopus 로고
    • Branch decompositions and minor containment
    • I. V. Hicks. Branch decompositions and minor containment. Networks, 43:1-9, 2004.
    • (2004) Networks , vol.43 , pp. 1-9
    • Hicks, I.V.1
  • 56
    • 0001893320 scopus 로고
    • Optimal decomposition of probabilistic networks by simulated annealing
    • U. Kjaerulff. Optimal decomposition of probabilistic networks by simulated annealing. Statistics and Computing, 2:2-17, 1992.
    • (1992) Statistics and Computing , vol.2 , pp. 2-17
    • Kjaerulff, U.1
  • 57
    • 0002093156 scopus 로고
    • Lecture Notes in Computer Science. Springer-Verlag, Berlin
    • T. Kloks. Treewidth. Computations and Approximations. Lecture Notes in Computer Science, Vol. 842. Springer-Verlag, Berlin, 1994.
    • (1994) Treewidth. Computations and Approximations , vol.842
    • Kloks, T.1
  • 59
    • 0001162493 scopus 로고
    • Treewidth of chordal bipartite graphs
    • T. Kloks and D. Kratsch. Treewidth of chordal bipartite graphs. J. Algorithms, 19:266-281, 1995.
    • (1995) J. Algorithms , vol.19 , pp. 266-281
    • Kloks, T.1    Kratsch, D.2
  • 60
    • 0031118743 scopus 로고    scopus 로고
    • On treewidth and minimum fill-in of asteroidal triple-free graphs
    • T. Kloks, D. Kratsch, and J. Spinrad. On treewidth and minimum fill-in of asteroidal triple-free graphs. Theor. Comp. Sc., 175:309-335, 1997.
    • (1997) Theor. Comp. Sc. , vol.175 , pp. 309-335
    • Kloks, T.1    Kratsch, D.2    Spinrad, J.3
  • 62
    • 2042457150 scopus 로고    scopus 로고
    • Treewidth: Computational experiments
    • H. Broersma, U. Faigle, J. Hurink, and S. Pickl, editors. Elsevier Science Publishers
    • A. M. C. A. Koster, H. L. Bodlaender, and S. P. M. van Hoesel. Treewidth: Computational experiments. In H. Broersma, U. Faigle, J. Hurink, and S. Pickl, editors, Electronic Notes in Discrete Mathematics, volume 8. Elsevier Science Publishers, 2001.
    • (2001) Electronic Notes in Discrete Mathematics , vol.8
    • Koster, A.M.C.A.1    Bodlaender, H.L.2    Van Hoesel, S.P.M.3
  • 63
    • 0141920466 scopus 로고    scopus 로고
    • Solving partial constraint satisfaction problems with tree decomposition
    • A. M. C. A. Koster, S. P. M. van Hoesel, and A. W. J. Kolen. Solving partial constraint satisfaction problems with tree decomposition. Networks, 40:170-180, 2002.
    • (2002) Networks , vol.40 , pp. 170-180
    • Koster, A.M.C.A.1    Van Hoesel, S.P.M.2    Kolen, A.W.J.3
  • 64
    • 0030371952 scopus 로고    scopus 로고
    • Efficient parallel algorithms for graphs of bounded tree-width
    • J. Lagergren. Efficient parallel algorithms for graphs of bounded tree-width. J. Algorithms, 20:20-44, 1996.
    • (1996) J. Algorithms , vol.20 , pp. 20-44
    • Lagergren, J.1
  • 66
    • 0043229654 scopus 로고    scopus 로고
    • Decomposing Bayesian networks: Triangulation of the moral graph with genetic algorithms
    • P. Larrañaga, C. M. H. Kuijpers, M. Poza, and R. H. Murga. Decomposing Bayesian networks: triangulation of the moral graph with genetic algorithms. Statistics and Computing (UK), 7(l):19-34, 1997.
    • (1997) Statistics and Computing (UK) , vol.7 , Issue.50 , pp. 19-34
    • Larrañaga, P.1    Kuijpers, C.M.H.2    Poza, M.3    Murga, R.H.4
  • 69
    • 0042887143 scopus 로고    scopus 로고
    • A new lower bound for tree-width using maximum cardinality search
    • B. Lucena. A new lower bound for tree-width using maximum cardinality search. SIAM J. Disc. Math., 16:345-353, 2003.
    • (2003) SIAM J. Disc. Math. , vol.16 , pp. 345-353
    • Lucena, B.1
  • 70
    • 0000504886 scopus 로고
    • Algorithms for finding tree-decompositions of graphs
    • J. Matoušek and R. Thomas. Algorithms for finding tree-decompositions of graphs. J. Algorithms, 12:1-22, 1991.
    • (1991) J. Algorithms , vol.12 , pp. 1-22
    • Matoušek, J.1    Thomas, R.2
  • 72
    • 0000865792 scopus 로고    scopus 로고
    • Characterizations and algorithmic applications of chordal graph embeddings
    • A. Parra and P. Scheffler. Characterizations and algorithmic applications of chordal graph embeddings. Disc. Appl. Math., 79:171-188, 1997.
    • (1997) Disc. Appl. Math. , vol.79 , pp. 171-188
    • Parra, A.1    Scheffler, P.2
  • 73
    • 84947799712 scopus 로고    scopus 로고
    • An improved algorithm for finding tree decompositions of small width
    • P. Widmayer, editor. Springer Verlag, Lecture Notes in Computer Science
    • L. Perković and B. Reed. An improved algorithm for finding tree decompositions of small width. In P. Widmayer, editor, Proceedings 25th Int. Workshop on Graph Theoretic Concepts in Computer Science, WG'99, pages 148-154. Springer Verlag, Lecture Notes in Computer Science, vol. 1665, 1999.
    • (1999) Proceedings 25th Int. Workshop on Graph Theoretic Concepts in Computer Science, WG'99 , vol.1665 , pp. 148-154
    • Perković, L.1    Reed, B.2
  • 74
    • 84947937877 scopus 로고
    • A lower bound for tree width and its consequences
    • E. W. Mayr, G. Schmidt, and G. Tinhofer, editors. Springer Verlag, Lecture Notes in Computer Science
    • S. Ramachandramurthi. A lower bound for tree width and its consequences. In E. W. Mayr, G. Schmidt, and G. Tinhofer, editors, Proceedings 20th International Workshop on Graph Theoretic Concepts in Computer Science WG'94, pages 14-25. Springer Verlag, Lecture Notes in Computer Science, vol. 903, 1995.
    • (1995) Proceedings 20th International Workshop on Graph Theoretic Concepts in Computer Science WG'94 , vol.903 , pp. 14-25
    • Ramachandramurthi, S.1
  • 75
    • 0041453672 scopus 로고    scopus 로고
    • The structure and number of obstructions to treewidth
    • S. Ramachandramurthi. The structure and number of obstructions to treewidth. SIAM J. Disc. Math., 10:146-157, 1997.
    • (1997) SIAM J. Disc. Math. , vol.10 , pp. 146-157
    • Ramachandramurthi, S.1
  • 76
    • 0026979104 scopus 로고
    • Finding approximate separators and computing tree-width quickly
    • New York. ACM Press
    • B. Reed. Finding approximate separators and computing tree-width quickly. In Proceedings of the 24th Annual Symposium on Theory of Computing, pages 221-228, New York, 1992. ACM Press.
    • (1992) Proceedings of the 24th Annual Symposium on Theory of Computing , pp. 221-228
    • Reed, B.1
  • 77
    • 0000673493 scopus 로고
    • Graph minors. II. Algorithmic aspects of treewidth
    • N. Robertson and P. D. Seymour. Graph minors. II. Algorithmic aspects of treewidth. J. Algorithms, 7:309-322, 1986.
    • (1986) J. Algorithms , vol.7 , pp. 309-322
    • Robertson, N.1    Seymour, P.D.2
  • 78
    • 0002848005 scopus 로고
    • Graph minors. XIII. The disjoint paths problem
    • N. Robertson and P. D. Seymour. Graph minors. XIII. The disjoint paths problem. J. Comb. Theory Series B, 63:65-110, 1995.
    • (1995) J. Comb. Theory Series B , vol.63 , pp. 65-110
    • Robertson, N.1    Seymour, P.D.2
  • 79
    • 8344260083 scopus 로고    scopus 로고
    • Master's thesis, Max-Planck-Institut für Informatik, Saarbrücken, Germany
    • H. Röhrig. Tree decomposition: A feasibility study. Master's thesis, Max-Planck-Institut für Informatik, Saarbrücken, Germany, 1998.
    • (1998) Tree Decomposition: A Feasibility Study
    • Röhrig, H.1
  • 80
    • 0001580189 scopus 로고
    • Algorithmic aspects of vertex elimination on graphs
    • D. J. Rose, R. E. Tarjan, and G. S. Lueker. Algorithmic aspects of vertex elimination on graphs. SIAM J. Comput., 5:266-283, 1976.
    • (1976) SIAM J. Comput. , vol.5 , pp. 266-283
    • Rose, D.J.1    Tarjan, R.E.2    Lueker, G.S.3
  • 81
    • 0030360116 scopus 로고    scopus 로고
    • On linear recognition of tree-width at most four
    • D. P. Sanders. On linear recognition of tree-width at most four. SIAM J. Disc. Math., 9(1):101-117, 1996.
    • (1996) SIAM J. Disc. Math. , vol.9 , Issue.1 , pp. 101-117
    • Sanders, D.P.1
  • 82
    • 0038521887 scopus 로고
    • Call routing and the ratcatcher
    • P. D. Seymour and R. Thomas. Call routing and the ratcatcher. Combinatorica, 14(2):217-241, 1994.
    • (1994) Combinatorica , vol.14 , Issue.2 , pp. 217-241
    • Seymour, P.D.1    Thomas, R.2
  • 84
    • 0002918997 scopus 로고
    • An inequality for the chromatic number of a graph
    • G. Szekeres and H. S. Wilf. An inequality for the chromatic number of a graph. J. Comb. Theory, 4:1-3, 1968.
    • (1968) J. Comb. Theory , vol.4 , pp. 1-3
    • Szekeres, G.1    Wilf, H.S.2
  • 85
    • 0021473698 scopus 로고
    • Simple linear time algorithms to test chordiality of graphs, test acyclicity of graphs, and selectively reduce acyclic hypergraphs
    • R. E. Tarjan and M. Yannakakis. Simple linear time algorithms to test chordiality of graphs, test acyclicity of graphs, and selectively reduce acyclic hypergraphs. SIAM J. Comput., 13:566-579, 1984.
    • (1984) SIAM J. Comput. , vol.13 , pp. 566-579
    • Tarjan, R.E.1    Yannakakis, M.2
  • 86
    • 0008779759 scopus 로고    scopus 로고
    • Structured programs have small tree-width and good register allocation
    • M. Thorup. Structured programs have small tree-width and good register allocation. Information and Computation, 142:159-181, 1998.
    • (1998) Information and Computation , vol.142 , pp. 159-181
    • Thorup, M.1
  • 87
    • 33645590192 scopus 로고    scopus 로고
    • 03-31
    • Treewidthlib. http://www.cs.uu.nl/people/hansb/treewidthlib, 2004-03-31.
    • (2004) Treewidthlib
  • 88
    • 0001404569 scopus 로고
    • The recognition of series parallel digraphs
    • J. Valdes, R. E. Tarjan, and E. L. Lawler. The recognition of series parallel digraphs. SIAM J. Comput., 11:298-313, 1982.
    • (1982) SIAM J. Comput. , vol.11 , pp. 298-313
    • Valdes, J.1    Tarjan, R.E.2    Lawler, E.L.3
  • 90
    • 35248898344 scopus 로고    scopus 로고
    • Exact algorithms for NP-hard problems: A survey
    • Berlin. Springer Lecture Notes in Computer Science
    • G. J. Woeginger. Exact algorithms for NP-hard problems: A survey. In Combinatorial Optimization: "Eureka, you shrink", pages 185-207, Berlin, 2003. Springer Lecture Notes in Computer Science, vol. 2570.
    • (2003) Combinatorial Optimization: "Eureka, You Shrink" , vol.2570 , pp. 185-207
    • Woeginger, G.J.1
  • 91
    • 33645590327 scopus 로고    scopus 로고
    • Graph complexity of chemical compounds in biological pathways
    • A. Yamaguchi, K. F. Aoki, and H. Mamitsuka. Graph complexity of chemical compounds in biological pathways. Genome Informatics, 14:376-377, 2003.
    • (2003) Genome Informatics , vol.14 , pp. 376-377
    • Yamaguchi, A.1    Aoki, K.F.2    Mamitsuka, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.