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Finding good tree decompositions by local search. (English) Zbl 1267.05273
Koster, Arie (ed.) et al., DIMAP workshop on algorithmic graph theory. Extended abstracts from the workshop held at the University of Warwick, Coventry, UK, March 23–25, 2009. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 32, 43-50 (2009).
Summary: We present a local search algorithm, for upper bounding the tree-width of graphs. The algorithm exploits a new neighborhood structure that operates directly on a tree decomposition of the input graph, contrary to earlier work that generally used derived notions such as elimination orderings of the vertices. As a side result, we obtain an \(O(f(e+f))\)-algorithm for making tree decompositions (or triangulations) minimal in terms of fill-in.
For the entire collection see [Zbl 1239.05006].

05C85 Graph algorithms (graph-theoretic aspects)
05C12 Distance in graphs
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