Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4649191 | Discrete Mathematics | 2009 | 4 Pages |
Abstract
We prove that universal cycles of 2-dimensional subspaces of vector spaces over any finite field FF exist, i.e., if VV is a finite-dimensional vector space over FF, there is a cycle of vectors v1,v2,…,vnv1,v2,…,vn such that each 2-dimensional subspace of VV occurs exactly once as the span of consecutive vectors.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Bradley W. Jackson, Joe Buhler, Ray Mayer,