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» Computing the Girth of a Planar Graph
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ICALP
2009
Springer
14 years 8 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
CCCG
2007
13 years 9 months ago
Computing Acute and Non-obtuse Triangulations
We propose a method for computing acute (non-obtuse) triangulations. That is, for a given two dimensional domain (a set of points or a planar straight line graph), we compute a tr...
Hale Erten, Alper Üngör
COMGEO
2007
ACM
13 years 7 months ago
Drawings of planar graphs with few slopes and segments
We study straight-line drawings of planar graphs with few segments and few slopes. Optimal results are obtained for all trees. Tight bounds are obtained for outerplanar graphs, 2-...
Vida Dujmovic, David Eppstein, Matthew Suderman, D...
ICALP
2007
Springer
14 years 1 months ago
Linear Problem Kernels for NP-Hard Problems on Planar Graphs
Abstract. We develop a generic framework for deriving linear-size problem kernels for NP-hard problems on planar graphs. We demonstrate the usefulness of our framework in several c...
Jiong Guo, Rolf Niedermeier
GD
1998
Springer
13 years 12 months ago
A Framework for Drawing Planar Graphs with Curves and Polylines
We describe a unified framework of aesthetic criteria and complexity measures for drawing planar graphs with polylines and curves. This framework includes several visual properties...
Michael T. Goodrich, Christopher G. Wagner