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JC
2007
63views more  JC 2007»
14 years 11 months ago
Optimal approximation of elliptic problems by linear and nonlinear mappings III: Frames
We study the optimal approximation of the solution of an operator equation A(u) = f by certain n-term approximations with respect to specific classes of frames. We consider worst...
Stephan Dahlke, Erich Novak, Winfried Sickel
TAMC
2010
Springer
14 years 9 months ago
Two-Layer Planarization Parameterized by Feedback Edge Set
Abstract. Given an undirected graph G and an integer k ≥ 0, the NPhard 2-Layer Planarization problem asks whether G can be transformed into a forest of caterpillar trees by remov...
Johannes Uhlmann, Mathias Weller
DM
2006
86views more  DM 2006»
14 years 11 months ago
Minimal rankings and the arank number of a path
Given a graph G, a function f : V (G) {1, 2, . . . , k} is a k-ranking of G if f (u) = f (v) implies every u - v path contains a vertex w such that f (w) > f (u). A k-ranking ...
Victor Kostyuk, Darren A. Narayan, Victoria A. Wil...
GECCO
2005
Springer
160views Optimization» more  GECCO 2005»
15 years 4 months ago
On the complexity of hierarchical problem solving
Competent Genetic Algorithms can efficiently address problems in which the linkage between variables is limited to a small order k. Problems with higher order dependencies can onl...
Edwin D. de Jong, Richard A. Watson, Dirk Thierens
SIAMDM
2008
139views more  SIAMDM 2008»
14 years 11 months ago
Approximate Integer Decompositions for Undirected Network Design Problems
A well-known theorem of Nash-Williams and Tutte gives a necessary and sufficient condition for the existence of k edge-disjoint spanning trees in an undirected graph. A corollary o...
Chandra Chekuri, F. Bruce Shepherd