Abstract
We re-examine the probabilistic analysis of Clarkson and Shor [5] involving k-sets of point sets and related structures. By studying more carefully the equations that they derive, we are able to obtain refined analysis of these quantities, which lead to a collection of interesting relationships involving k-sets, convex hulls of random samples, and generalizations of these constructs.
Original language | English |
---|---|
Pages (from-to) | 483-495 |
Number of pages | 13 |
Journal | Combinatorica |
Volume | 13 |
Issue number | 4 |
DOIs | |
State | Published - Dec 1993 |
Keywords
- AMS subject classification code (1991): 52A22, 52A37, 05C99