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» Contraction and Treewidth Lower Bounds
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ESA
2004
Springer
129views Algorithms» more  ESA 2004»
13 years 10 months ago
Contraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all ...
Hans L. Bodlaender, Arie M. C. A. Koster, Thomas W...
AAIM
2006
Springer
134views Algorithms» more  AAIM 2006»
13 years 10 months ago
A Branch and Bound Algorithm for Exact, Upper, and Lower Bounds on Treewidth
Emgad H. Bachoore, Hans L. Bodlaender
DAM
2007
111views more  DAM 2007»
13 years 4 months ago
Vertex-minor reductions can simulate edge contractions
We prove that local complementation and vertex deletion, operations from which vertexminors are defined, can simulate edge contractions. As an application, we prove that the rank...
Mamadou Moustapha Kanté
GD
2005
Springer
13 years 10 months ago
Graph Treewidth and Geometric Thickness Parameters
Consider a drawing of a graph G in the plane such that crossing edges are coloured differently. The minimum number of colours, taken over all drawings of G, is the classical graph...
Vida Dujmovic, David R. Wood
CORR
2010
Springer
95views Education» more  CORR 2010»
13 years 4 months ago
A lower bound for the tree-width of planar graphs with vital linkages
The disjoint paths problem asks, given an graph G and k + 1 pairs of terminals (s0, t0), . . . , (sk, tk), whether there are k + 1 pairwise disjoint paths P0, . . . , Pk, such tha...
Isolde Adler, Philipp Klaus Krause