Sciweavers

WG
2010
Springer
13 years 10 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 10 months ago
Measuring Indifference: Unit Interval Vertex Deletion
René van Bevern, Christian Komusiewicz, Han...
WG
2010
Springer
13 years 10 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 10 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 10 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 10 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