Distinct Volume Subsets

Suppose that a and d are positive integers with a ≥ 2. Let h[subscript a,d](n) be the largest integer t such that any set of n points in R[superscript d] contains a subset of t points for which all the nonzero volumes of the ([t over a]) subsets of order a are distinct. Beginning with Erdos in 1957,...

Full description

Bibliographic Details
Main Authors: Conlon, David, Fox, Jacob, Gasarch, William, Harris, David G., Ulrich, Douglas, Zbarsky, Samuel
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2015
Online Access:http://hdl.handle.net/1721.1/97231