Article ID Journal Published Year Pages File Type
4649887 Discrete Mathematics 2009 9 Pages PDF
Abstract

The profile vector f(U)∈Rn+1f(U)∈Rn+1 of a family UU of subspaces of an nn-dimensional vector space VV over GF(q)GF(q) is a vector of which the iith coordinate is the number of subspaces of dimension ii in the family UU(i=0,1,…,n)(i=0,1,…,n). In this paper, we determine the profile polytope of intersecting families (the convex hull of the profile vectors of all intersecting families of subspaces).

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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