On the number of simple arrangements of five double pseudolines

Details On the number of simple arrangements of five double pseudolines On the number of simple arrangements of five double pseudolines

2010-09-08

arxiv.org/abs/1009.1575v1

Discrete Comput. Geom., 45(2):279-302, 2011

Computer Science

Computational Geometry

24 pages, 16 figures, 6 tables

Scientific paper

10.1007/s00454-010-9298-4

We describe an incremental algorithm to enumerate the isomorphism classes of
double pseudoline arrangements. The correction of our algorithm is based on the
connectedness under mutations of the spaces of one-extensions of double
pseudoline arrangements, proved in this paper. Counting results derived from an
implementation of our algorithm are also reported.

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