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» Digital planarity - A review
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COMPGEOM
2006
ACM
14 years 2 months ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
STOC
2006
ACM
174views Algorithms» more  STOC 2006»
14 years 8 months ago
Edge-disjoint paths in Planar graphs with constant congestion
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs s1t1, s2t2, . . ., sktk, the goal is to maximize the number of pairs t...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
14 years 1 months ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...
SI3D
1999
ACM
14 years 22 days ago
Interactive curve design using digital French curves
In the real world designers often use French curves or sweeps to create or edit curves to bring out a personal style or reflect a corporate standard in all their designs. A Frenc...
Karan Singh
UC
2009
Springer
14 years 3 months ago
Computing Domains of Attraction for Planar Dynamics
In this note we investigate the problem of computing the domain of attraction of a flow on R2 for a given attractor. We consider an operator that takes two inputs, the description...
Daniel S. Graça, Ning Zhong