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» Crossing Stars in Topological Graphs
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GD
2009
Springer
13 years 8 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer
JGAA
2010
128views more  JGAA 2010»
13 years 4 months ago
Intersection Graphs of Pseudosegments: Chordal Graphs
We investigate which chordal graphs have a representation as intersection graphs of pseudosegments. For positive we have a construction which shows that all chordal graphs that ca...
Cornelia Dangelmayr, Stefan Felsner, William T. Tr...
COMGEO
2007
ACM
13 years 5 months ago
Configurations with few crossings in topological graphs
Christian Knauer, Étienne Schramm, Andreas ...
CORR
2011
Springer
217views Education» more  CORR 2011»
12 years 9 months ago
Coarse-Grained Topology Estimation via Graph Sampling
Many online networks are measured and studied via sampling techniques, which typically collect a relatively small fraction of nodes and their associated edges. Past work in this a...
Maciej Kurant, Minas Gjoka, Yan Wang, Zack W. Almq...
CORR
2010
Springer
103views Education» more  CORR 2010»
13 years 5 months ago
On Graph Crossing Number and Edge Planarization
Given an n-vertex graph G, a drawing of G in the plane is a mapping of its vertices into points of the plane, and its edges into continuous curves, connecting the images of their ...
Julia Chuzhoy, Yury Makarychev, Anastasios Sidirop...