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COMBINATORICS
2004
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13 years 7 months ago
On the Combinatorial Structure of Arrangements of Oriented Pseudocircles
We introduce intersection schemes (a generalization of uniform oriented matroids of rank 3) to describe the combinatorial properties of arrangements of pseudocircles in the plane ...
Johann Linhart, Ronald Ortner
EJC
2008
13 years 7 months ago
Embeddability of arrangements of pseudocircles into the sphere
An arrangement of pseudocircles is a finite set of oriented closed Jordan curves each two of which cross each other in exactly two points. To describe the combinatorial structure ...
Ronald Ortner