title: On the Nonnegative Rank of Euclidean Distance Matrices.
abstract: The Euclidean distance matrix forndistinct points in ℝris generically of rankr+ 2. It is shown in this paper via a geometric argument that its nonnegative rank for the caser= 1 is genericallyn.
authors: Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA.
authors: Matthew M
authors: MM
authors: Lin
authors: Moody T
authors: MT
authors: Chu
keywords: Euclidean distance matrix; nonnegative rank; nonnegative rank factorization