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Constructive Linear Time Algorithms For (2000)  (Make Corrections)  
Branchwidth Dimitrios M. Thilikos Hans L. Bodlaender



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Abstract: We prove that, for any fixed k, one can construct a linear time algorithm that checks if a graph has branchwidth k and, if so, outputs a branch decomposition of minimum width. (Update)

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BibTeX entry:   (Update)

@misc{ thilikos-constructive,
  author = "Branchwidth Dimitrios Thilikos",
  title = "Constructive Linear Time Algorithms For",
  url = "citeseer.ist.psu.edu/755747.html" }
Citations (may not include all citations):
202   A linear time algorithm for finding tree-decompositions of s.. - Bodlaender - 1996
172   Complexity of finding embeddings in a k-tree (context) - Arnborg, Corneil et al. - 1987
109   Efficient algorithms for combinatorial problems on graphs wi.. (context) - Arnborg - 1985
97   A tourist guide through treewidth - Bodlaender - 1993
78   Graph minors --- a survey (context) - Robertson, Seymour - 1985
62   Obstructions to treedecomposition (context) - Robertson, Seymour - 1991
37   Call routing and the ratcatcher (context) - Seymour, Thomas - 1994
29   Efficient and constructive algorithms for the pathwidth and .. - Bodlaender, Kloks - 1996
28   The metamathematics of the graph minor theorem (context) - Friedman, Robertson et al. - 1987
24   Obstruction set isolation for the gate matrix layout problem - Kinnersley, Langston - 1994
22   Forbidden minors characterization of partial 3-trees (context) - Arnborg, Proskurowski et al. - 1990
20   Computing small search numbers in linear time - Bodlaender, Thilikos - 1998
19   Algorithms and obstructions for linear-width and related sea.. - Thilikos - 2000
16   Graphs with branchwidth at most three - Bodlaender, Thilikos - 1999
14   A characterization of partial 3-trees (context) - Satyanarayana, Tung - 1990
12   A constructive linear time algorithm for small cutwidth - Thilikos, Serna et al. - 2000
12   An algorithm for the ring-routing problem (context) - Cook, Seymour - 1993
12   Constructive linear time algorithms for small cutwidth and c.. - Thilikos, Serna et al. - 2000
11   tree in terms of certain substructures (context) - Kajitani, Ishizuka et al. - 1986
8   Minimal forbidden minors for the family of graphs with prope.. (context) - Takahashi, Ueno et al. - 1995
6   Obstruction Set Isolation for Layout Permutation Problems (context) - Kinnersley - 1989
5   and the efficiency of polynomial-time algorithms (context) - Fellows, Langston et al. - 1994
4   An efficient polynomial-time algorithm for three-track gate .. (context) - Kinnersley, Kinnersley - 1994
3   Personal Comunication (context) - Cook - 1996

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Comparing Loop Cutsets and Clique Trees in Probabilistic.. - van der Gaag, Bodlaender (1997)   (Correct)
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