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CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 4 months ago
Parameterizing by the Number of Numbers
The usefulness of parameterized algorithmics has often depended on what Niedermeier has called, "the art of problem parameterization." In this paper we introduce and expl...
Michael R. Fellows, Serge Gaspers, Frances A. Rosa...
ISAAC
2007
Springer
183views Algorithms» more  ISAAC 2007»
13 years 10 months ago
The Complexity of Finding Subgraphs Whose Matching Number Equals the Vertex Cover Number
The class of graphs where the size of a minimum vertex cover equals that of a maximum matching is known as K¨onig-Egerv´ary graphs. K¨onig-Egerv´ary graphs have been studied ex...
Sounaka Mishra, Venkatesh Raman, Saket Saurabh, So...
GD
2007
Springer
13 years 10 months ago
Crossing Numbers and Parameterized Complexity
The odd crossing number of G is the smallest number of pairs of edges that cross an odd number of times in any drawing of G. We show that there always is a drawing realizing the o...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
ISAAC
2009
Springer
87views Algorithms» more  ISAAC 2009»
13 years 9 months ago
Parameterizing Cut Sets in a Graph by the Number of Their Components
For a connected graph G = (V, E), a subset U ⊆ V is called a k-cut if U disconnects G, and the subgraph induced by U contains exactly k (≥ 1) components. More specifically, a ...
Takehiro Ito, Marcin Kaminski, Daniël Paulusm...
COLT
1993
Springer
13 years 8 months ago
Bounding the Vapnik-Chervonenkis Dimension of Concept Classes Parameterized by Real Numbers
The Vapnik-Chervonenkis (V-C) dimension is an important combinatorial tool in the analysis of learning problems in the PAC framework. For polynomial learnability, we seek upper bou...
Paul W. Goldberg, Mark Jerrum