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FCT
2005
Springer
15 years 10 months ago
The Complexity of Semilinear Problems in Succinct Representation
We prove completeness results for twenty-three problems in semilinear geometry. These results involve semilinear sets given by additive circuits as input data. If arbitrary real co...
Peter Bürgisser, Felipe Cucker, Paulin Jacob&...
ICALP
2005
Springer
15 years 10 months ago
A Better Approximation Ratio for the Vertex Cover Problem
We reduce the approximation factor for Vertex Cover to 2 − Θ( 1√ log n ) (instead of the previous 2 − Θ(log log n log n ), obtained by Bar-Yehuda and Even [2], and by Moni...
George Karakostas
ESA
2004
Springer
120views Algorithms» more  ESA 2004»
15 years 9 months ago
Solving Geometric Covering Problems by Data Reduction
We consider a scenario where stops are to be placed along an already existing public transportation network in order to improve its attractiveness for the customers. The core probl...
Steffen Mecke, Dorothea Wagner
DAM
2008
88views more  DAM 2008»
15 years 4 months ago
On the asymmetric representatives formulation for the vertex coloring problem
We consider the vertex coloring problem, which may be stated as the problem of minimizing the number of labels that can be assigned to the vertices of a graph G such that each ver...
Manoel B. Campêlo, Victor A. Campos, Ricardo...
SIAMJO
2008
76views more  SIAMJO 2008»
15 years 4 months ago
Identification and Elimination of Interior Points for the Minimum Enclosing Ball Problem
Given A := {a1, . . . , am} Rn, we consider the problem of reducing the input set for the computation of the minimum enclosing ball of A. In this note, given an approximate soluti...
S. Damla Ahipasaoglu, E. Alper Yildirim