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» Inapproximability for planar embedding problems
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STACS
2009
Springer
15 years 4 months ago
Polynomial-Time Approximation Schemes for Subset-Connectivity Problems in Bounded-Genus Graphs
We present the first polynomial-time approximation schemes (PTASes) for the following subset-connectivity problems in edge-weighted graphs of bounded genus: Steiner tree, low-conn...
Glencora Borradaile, Erik D. Demaine, Siamak Tazar...
CVPR
2006
IEEE
15 years 3 months ago
A Shape Representation for Planar Curves by Shape Signature Harmonic Embedding
This paper introduces a new representation for planar curves. From the well-known Dirichlet problem for a disk, the harmonic function embedded in a circular disk is solely depende...
Sang-Mook Lee, A. Lynn Abbott, Neil A. Clark, Phil...
DAC
1995
ACM
15 years 1 months ago
On the Bounded-Skew Clock and Steiner Routing Problems
We study the minimum-costbounded-skewrouting tree (BST) problem under the linear delay model. This problem captures several engineering tradeoffs in the design of routing topologi...
Dennis J.-H. Huang, Andrew B. Kahng, Chung-Wen Alb...
FSTTCS
2006
Springer
15 years 1 months ago
One-Input-Face MPCVP Is Hard for L, But in LogDCFL
A monotone planar circuit (MPC) is a Boolean circuit that can be embedded in a plane, and that has only AND and OR gates. Yang showed that the one-input-face monotone planar circui...
Tanmoy Chakraborty, Samir Datta
COMGEO
2012
ACM
13 years 5 months ago
Point-set embeddings of plane 3-trees
A straight-line drawing of a plane graph G is a planar drawing of G, where each vertex is drawn as a point and each edge is drawn as a straight line segment. Given a set S of n poi...
Rahnuma Islam Nishat, Debajyoti Mondal, Md. Saidur...