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» Manhattan-Geodesic Embedding of Planar Graphs
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CAGD
2006
72views more  CAGD 2006»
13 years 10 months ago
Discrete one-forms on meshes and applications to 3D mesh parameterization
We describe how some simple properties of discrete one-forms directly relate to some old and new results concerning the parameterization of 3D mesh data. Our first result is an ea...
Steven J. Gortler, Craig Gotsman, Dylan Thurston
ISAAC
2005
Springer
123views Algorithms» more  ISAAC 2005»
14 years 3 months ago
Sampling Unlabeled Biconnected Planar Graphs
We present an expected polynomial time algorithm to generate a 2-connected unlabeled planar graph uniformly at random. To do this we first derive recurrence formulas to count the ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
COMPGEOM
2010
ACM
14 years 2 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
CLA
2004
13 years 11 months ago
Planarity of Additively Drawn Concept Lattices
In Formal Concept Analysis, it is a very important but quite difficult task to draw line diagrams of concept lattices automatically. In particular, we want every planar lattice to ...
Christian Zschalig