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» On the tractability of coloring semirandom graphs
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COCOON
2007
Springer
13 years 12 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...
TAMC
2010
Springer
13 years 10 months ago
Incremental List Coloring of Graphs, Parameterized by Conservation
Incrementally k-list coloring a graph means that a graph is given by adding stepwise one vertex after another, and for each intermediate step we ask for a vertex coloring such that...
Sepp Hartung, Rolf Niedermeier
SIAMCOMP
2010
135views more  SIAMCOMP 2010»
13 years 16 days ago
Intractability of Clique-Width Parameterizations
We show that Edge Dominating Set, Hamiltonian Cycle, and Graph Coloring are W[1]-hard parameterized by clique-width. It was an open problem, explicitly mentioned in several papers,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...
ATAL
2010
Springer
13 years 6 months ago
Pure Nash equilibria: complete characterization of hard and easy graphical games
We consider the computational complexity of pure Nash equilibria in graphical games. It is known that the problem is NP-complete in general, but tractable (i.e., in P) for special...
Albert Xin Jiang, MohammadAli Safari
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
14 years 3 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...