Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4649887 | Discrete Mathematics | 2009 | 9 Pages |
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).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Dániel Gerbner, Balázs Patkós,