Sciweavers

WG
2010
Springer
13 years 3 months ago
Computing the Cutwidth of Bipartite Permutation Graphs in Linear Time
The problem of determining the cutwidth of a graph is a notoriously hard problem which remains NP-complete under severe restrictions on input graphs. Until recently, non-trivial p...
Pinar Heggernes, Pim van 't Hof, Daniel Lokshtanov...
WG
2010
Springer
13 years 3 months ago
Measuring Indifference: Unit Interval Vertex Deletion
René van Bevern, Christian Komusiewicz, Han...
WG
2010
Springer
13 years 3 months ago
Colouring Vertices of Triangle-Free Graphs
The vertex colouring problem is known to be NP-complete in the class of triangle-free graphs. Moreover, it remains NP-complete even if we additionally exclude a graph F which is n...
Konrad Dabrowski, Vadim V. Lozin, Rajiv Raman, Ber...
WG
2010
Springer
13 years 3 months ago
The Number of Bits Needed to Represent a Unit Disk Graph
We prove that for sufficiently large n, there exist unit disk graphs on n vertices such that for every representation with disks in the plane at least c √ n bits are needed to wr...
Colin McDiarmid, Tobias Müller
WG
2010
Springer
13 years 3 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
WG
2010
Springer
13 years 3 months ago
Parameterized Complexity of the Arc-Preserving Subsequence Problem
Abstract. We study the Arc-Preserving Subsequence (APS) problem with unlimited annotations. Given two arc-annotated sequences P and T, this problem asks if it is possible to delete...
Dániel Marx, Ildikó Schlotter