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» Unprovability threshold for the planar graph minor theorem
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STACS
2010
Springer
14 years 1 months ago
Beyond Bidimensionality: Parameterized Subexponential Algorithms on Directed Graphs
In 2000 Alber et al. [SWAT 2000 ] obtained the first parameterized subexponential algorithm on undirected planar graphs by showing that k-DOMINATING SET is solvable in time 2O( ...
Frederic Dorn, Fedor V. Fomin, Daniel Lokshtanov, ...
STACS
2001
Springer
13 years 10 months ago
Evasiveness of Subgraph Containment and Related Properties
We prove new results on evasiveness of monotone graph properties by extending the techniques of Kahn, Saks, and Sturtevant [Combinatorica, 4 (1984), pp. 297–306]. For the propert...
Amit Chakrabarti, Subhash Khot, Yaoyun Shi
LATIN
2004
Springer
13 years 11 months ago
Bidimensional Parameters and Local Treewidth
For several graph-theoretic parameters such as vertex cover and dominating set, it is known that if their sizes are bounded by k then the treewidth of the graph is bounded by some ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...