Title
Helly-type theorems for pseudoline arrangements in P2
Abstract
We prove duals of Radon's theorem, Helly's theorem, Carathéodory's theorem, and Kirchberger's theorem for arrangements of pseudolines in the real projective plane, which generalize the original versions of those theorems for plane configurations of points. We also prove a topological generalization of the pseudoline-dual of Helly's theorem.
Year
DOI
Venue
1982
10.1016/0097-3165(82)90061-9
JOURNAL OF COMBINATORIAL THEORY SERIES A
DocType
Volume
Issue
Journal
32
1
ISSN
Citations 
PageRank 
0097-3165
1
0.44
References 
Authors
0
2
Name
Order
Citations
PageRank
Jacob E. Goodman1277136.42
Richard Pollack2912203.75