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» Crossing edges and faces of line arrangements in the plane
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CCCG
2009
15 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...
COCOA
2007
Springer
16 years 16 days ago
A New Exact Algorithm for the Two-Sided Crossing Minimization Problem
The Two-Sided Crossing Minimization (TSCM) problem calls for minimizing the number of edge crossings of a bipartite graph where the two sets of vertices are drawn on two parallel l...
Lanbo Zheng, Christoph Buchheim
ESA
2009
Springer
74views Algorithms» more  ESA 2009»
16 years 28 days ago
On Inducing Polygons and Related Problems
Bose et al. [2] asked whether for every simple arrangement A of n lines in the plane there exists a simple n-gon P that induces A by extending every edge of P into a line. We prov...
Eyal Ackerman, Rom Pinchasi, Ludmila Scharf, Marc ...
ISVD
2007
IEEE
16 years 19 days ago
Two-dimensional line space Voronoi Diagram
Given a set of points called sites, the Voronoi diagram is a partition of the plane into sets of points having the same closest site. Several generalizations of the Voronoi diagra...
Stéphane Rivière, Dominique Schmitt
CORR
2008
Springer
141views Education» more  CORR 2008»
15 years 6 months ago
Obfuscated Drawings of Planar Graphs
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an i...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...