Title
Bounding the number of geometric permutations induced by k-transversals
Abstract
We prove that a (k−1)-separated family of n compact convex sets in Rd can be met byk-transversals in at mostOdd22k+1-2knk+1kd-k or, for fixed k and d, O(nk(k+1)(d−k)) different order types. This is the first non-trivial bound for 1kd−1.
Year
DOI
Venue
1996
10.1006/jcta.1996.0072
Symposium on Computational Geometry 2013
Keywords
Field
DocType
convex set,upper bound
Discrete mathematics,Combinatorics,Upper and lower bounds,Permutation,Regular polygon,Transversal (geometry),Order type,Mathematics,Bounding overwatch
Journal
Volume
Issue
ISSN
75
2
0097-3165
ISBN
Citations 
PageRank 
0-89791-648-4
9
1.73
References 
Authors
3
3
Name
Order
Citations
PageRank
Jacob E. Goodman1277136.42
Richard Pollack2912203.75
Rephael Wenger344143.54