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» Crossing Stars in Topological Graphs
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COMPGEOM
2010
ACM
13 years 11 months ago
Adding one edge to planar graphs makes crossing number hard
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
Sergio Cabello, Bojan Mohar
CIS
2010
Springer
13 years 1 months ago
Sensor Graphs for Guaranteed Cooperative Localization Performance
A group of mobile robots can localize cooperatively, using relative position and absolute orientation measurements, fused through an extended Kalman filter (ekf). The topology of ...
Y. Yuan, H. G. Tanner
ISAAC
2007
Springer
124views Algorithms» more  ISAAC 2007»
14 years 13 days ago
Approximating the Crossing Number of Toroidal Graphs
Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...
Petr Hlinený, Gelasio Salazar
SG
2005
Springer
13 years 11 months ago
Automatic Cross-Sectioning Based on Topological Volume Skeletonization
: Cross-sectioning is a popular method for visualizing the complicated inner structures of three-dimensional volume datasets. However, the process is usually manual, meaning that a...
Yuki Mori, Shigeo Takahashi, Takeo Igarashi, Yurik...
CCCG
2009
13 years 7 months ago
Colored Simultaneous Geometric Embeddings and Universal Pointsets
A set of n points in the plane is a universal pointset for a given class of graphs, if any n-vertex graph in that class can be embedded in the plane so that vertices are mapped to...
Alejandro Estrella-Balderrama, J. Joseph Fowler, S...