On the number of simple arrangements of five double pseudolines

Autor: Ferté, Julien, Pilaud, Vincent, Pocchiola, Michel
Rok vydání: 2010
Předmět:
Zdroj: Discrete Comput. Geom., 45(2):279-302, 2011
Druh dokumentu: Working Paper
DOI: 10.1007/s00454-010-9298-4
Popis: 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.
Comment: 24 pages, 16 figures, 6 tables
Databáze: arXiv