Sciweavers

Share
COMBINATORICS
2004

On the Combinatorial Structure of Arrangements of Oriented Pseudocircles

8 years 11 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 and on closed orientable surfaces. Similar to the FolkmanLawrence topological representation theorem for oriented matroids we show that there is a one-to-one correspondence between intersection schemes and equivalence classes of arrangements of pseudocircles. Furthermore, we consider arrangements where the pseudocircles separate the surface into two components. For these strict arrangements there is a one-to-one correspondence to a quite natural subclass of consistent intersection schemes.
Johann Linhart, Ronald Ortner
Added 17 Dec 2010
Updated 17 Dec 2010
Type Journal
Year 2004
Where COMBINATORICS
Authors Johann Linhart, Ronald Ortner
Comments (0)
books