Article ID Journal Published Year Pages File Type
4600727 Linear Algebra and its Applications 2011 6 Pages PDF
Abstract

In this short note we investigate polytopes associated with families of interval vectors, i.e., (0,1)-vectors with consecutive ones. Using a linear transformation we show a connection to “extended” incidence matrices of acyclic directed graphs and the convex hull of their columns. This leads to complete linear descriptions of the corresponding polytopes.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory