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JCT
2007
90views more  JCT 2007»
13 years 7 months ago
On the maximum number of edges in quasi-planar graphs
A topological graph is quasi-planar, if it does not contain three pairwise crossing edges. Agarwal et al. [2] proved that these graphs have a linear number of edges. We give a sim...
Eyal Ackerman, Gábor Tardos
GD
2004
Springer
14 years 25 days ago
Intersection Reverse Sequences and Geometric Applications
Pinchasi and Radoiˇci´c [11] used the following observation to bound the number of edges of a topological graph without a self-crossing cycle of length 4: if we make a list of t...
Adam Marcus, Gábor Tardos
ICMCS
2005
IEEE
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14 years 1 months ago
Automatic 3D Face Recognition Using Topological Techniques
In this paper, we use the three-dimensionaltopological shape information for human face identification. We propose a new method to represent 3D faces as a topological graph. Fine...
Chafik Samir, Jean-Philippe Vandeborre, Mohamed Da...
COMPGEOM
2006
ACM
14 years 1 months ago
On the maximum number of edges in topological graphs with no four pairwise crossing edges
A topological graph is called k-quasi-planar, if it does not contain k pairwise crossing edges. It is conjectured that for every fixed k, the maximum number of edges in a kquasi-...
Eyal Ackerman
COMPGEOM
2009
ACM
14 years 2 months ago
On grids in topological graphs
A topological graph is a graph drawn in the plane with vertices represented by points and edges as arcs connecting its vertices. A k-grid in a topological graph is a pair of edge ...
Eyal Ackerman, Jacob Fox, János Pach, Andre...