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» Digital planarity - A review
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COMPGEOM
2006
ACM
15 years 3 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»
15 years 10 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»
15 years 2 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
15 years 1 months 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
15 years 4 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