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COCOA
2007
Springer
14 years 1 months ago
On the Complexity of Some Colorful Problems Parameterized by Treewidth
Abstract. We study the complexity of several coloring problems on graphs, parameterized by the treewidth t of the graph: (1) The list chromatic number χl(G) of a graph G is defin...
Michael R. Fellows, Fedor V. Fomin, Daniel Lokshta...
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
14 years 4 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...
COCOON
2007
Springer
14 years 1 months ago
Connected Coloring Completion for General Graphs: Algorithms and Complexity
An r-component connected coloring of a graph is a coloring of the vertices so that each color class induces a subgraph having at most r connected components. The concept has been w...
Benny Chor, Michael R. Fellows, Mark A. Ragan, Igo...
STACS
2010
Springer
14 years 2 months ago
Treewidth Reduction for Constrained Separation and Bipartization Problems
We present a method for reducing the treewidth of a graph while preserving all the minimal s−t separators. This technique turns out to be very useful in the design of parameteriz...
Dániel Marx, Barry O'Sullivan, Igor Razgon