@article{74497c4813a04a02865e663c19d8f449,
title = "On the nonnegative rank of Euclidean distance matrices",
abstract = "The Euclidean distance matrix for n distinct points in Rr is generically of rank r + 2. It is shown in this paper via a geometric argument that its nonnegative rank for the case r = 1 is generically n.",
author = "Lin, {Matthew M.} and Chu, {Moody T.}",
note = "Funding Information: Corresponding author. E-mail addresses: mlin@ncsu.edu (M.M. Lin), chu@math.ncsu.edu (M.T. Chu). 1 This research was supported in part by the National Science Foundation under Grants DMS-0505880 and DMS-0732299. 2 This research was supported in part by the National Science Foundation under Grants DMS-0505880 and DMS-0732299 and NIH Roadmap for Medical Research Grant 1 P20 HG003900-01.",
year = "2010",
month = sep,
day = "1",
doi = "10.1016/j.laa.2010.03.038",
language = "English",
volume = "433",
pages = "681--689",
journal = "Linear Algebra and Its Applications",
issn = "0024-3795",
publisher = "Elsevier Inc.",
number = "3",
}