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Outputs (3167)

Characterizing graphs of small carving-width (2012)
Presentation / Conference Contribution
Belmonte, R., van 't Hof, P., Kaminski, M., Paulusma, D., & Thilikos, D. (2012, December). Characterizing graphs of small carving-width

We characterize all graphs that have carving-width at most k for k = 1,2,3. In particular, we show that a graph has carving-width at most 3 if and only if it has maximum degree at most 3 and treewidth at most 2. This enables us to identify the immers... Read More about Characterizing graphs of small carving-width.

How to eliminate a graph (2012)
Presentation / Conference Contribution
Golovach, P., Heggernes, P., van 't Hof, P., Manne, F., Paulusma, D., & Pilipczuk, M. (2012, December). How to eliminate a graph

Vertex elimination is a graph operation that turns the neighborhood of a vertex into a clique and removes the vertex itself. It has widely known applications within sparse matrix computations. We define the Elimination problem as follows: given two g... Read More about How to eliminate a graph.

4-Coloring H-free graphs when H is small (2012)
Presentation / Conference Contribution
Golovach, P., Paulusma, D., & Song, J. (2012, December). 4-Coloring H-free graphs when H is small

The k-Coloring problem is to test whether a graph can be colored with at most k colors such that no two adjacent vertices receive the same color. If a graph G does not contain a graph H as an induced subgraph, then G is called H-free. For any fixed g... Read More about 4-Coloring H-free graphs when H is small.

Coloring graphs characterized by a forbidden subgraph (2012)
Presentation / Conference Contribution
Golovach, P. A., Paulusma, D., & Ries, B. (2012, December). Coloring graphs characterized by a forbidden subgraph

The Coloring problem is to test whether a given graph can be colored with at most k colors for some given k, such that no two adjacent vertices receive the same color. The complexity of this problem on graphs that do not contain some graph H as an in... Read More about Coloring graphs characterized by a forbidden subgraph.