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ICALP
2007
Springer
16 years 22 days ago
Linear Problem Kernels for NP-Hard Problems on Planar Graphs
Abstract. We develop a generic framework for deriving linear-size problem kernels for NP-hard problems on planar graphs. We demonstrate the usefulness of our framework in several c...
Jiong Guo, Rolf Niedermeier
IWPEC
2004
Springer
15 years 12 months ago
Parameterized Graph Separation Problems
We consider parameterized problems where some separation property has to be achieved by deleting as few vertices as possible. The following five problems are studied: delete k ve...
Dániel Marx
CORR
2008
Springer
95views Education» more  CORR 2008»
15 years 6 months ago
The Plane-Width of Graphs
Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
Marcin Kaminski, Paul Medvedev, Martin Milanic
JGT
2006
70views more  JGT 2006»
15 years 6 months ago
Vertex partitions of chordal graphs
Abstract: A k-tree is a chordal graph with no (k + 2)-clique. An -treepartition of a graph G is a vertex partition of G into `bags,' such that contracting each bag to a single...
David R. Wood
GC
2010
Springer
15 years 5 months ago
Intriguing Sets of Vertices of Regular Graphs
Intriguing and tight sets of vertices of point-line geometries have recently been studied in the literature. In this paper, we indicate a more general framework for dealing with t...
Bart De Bruyn, Hiroshi Suzuki