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FOCS
2007
IEEE
14 years 4 months ago
On the Optimality of Planar and Geometric Approximation Schemes
We show for several planar and geometric problems that the best known approximation schemes are essentially optimal with respect to the dependence on ǫ. For example, we show that...
Dániel Marx
GD
2005
Springer
14 years 3 months ago
C-Planarity of Extrovert Clustered Graphs
A clustered graph has its vertices grouped into clusters in a hierarchical way via subset inclusion, thereby imposing a tree structure on the clustering relationship. The c-planari...
Michael T. Goodrich, George S. Lueker, Jonathan Z....
COMPGEOM
2007
ACM
14 years 2 months ago
Embedding 3-polytopes on a small grid
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...
Ares Ribó Mor, Günter Rote, Andr&eacut...
JCO
1998
97views more  JCO 1998»
13 years 9 months ago
The Travelling Salesman Problem on Permuted Monge Matrices
We consider traveling salesman problems (TSPs) with a permuted Monge matrix as cost matrix where the associated patching graph has a specially simple structure: a multistar, a mult...
Rainer E. Burkard, Vladimir G. Deineko, Gerhard J....
GBRPR
2009
Springer
14 years 4 months ago
Texture Segmentation by Contractive Decomposition and Planar Grouping
Abstract. Image segmentation has long been an important problem in the computer vision community. In our recent work we have addressed the problem of texture segmentation, where we...
Anders Bjorholm Dahl, Peter Bogunovich, Ali Shokou...