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» Treewidth Lower Bounds with Brambles
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MFCS
2005
Springer
13 years 11 months ago
Nondeterministic Graph Searching: From Pathwidth to Treewidth
Abstract. We introduce nondeterministic graph searching with a controlled amount of nondeterminism and show how this new tool can be used in algorithm design and combinatorial anal...
Fedor V. Fomin, Pierre Fraigniaud, Nicolas Nisse
GD
2005
Springer
13 years 11 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
COMGEO
2007
ACM
13 years 6 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood
FOSSACS
2007
Springer
14 years 13 days ago
PDL with Intersection and Converse Is 2 EXP-Complete
We study the complexity of satisfiability for the expressive extension ICPDL of PDL (Propositional Dynamic Logic), which admits intersection and converse as program operations. Ou...
Stefan Göller, Markus Lohrey, Carsten Lutz
CP
2007
Springer
14 years 13 days ago
Structural Relaxations by Variable Renaming and Their Compilation for Solving MinCostSAT
Searching for optimal solutions to a problem using lower bounds obtained from a relaxation is a common idea in Heuristic Search and Planning. In SAT and CSPs, however, explicit rel...
Miquel Ramírez, Hector Geffner