A Class of Lattices
Jungnickel, Dieter and Leclerc, Matthias
(1988)
A Class of Lattices.
Published in:
Ars Combinatoria Vol. 26.
pp. 243248.
Abstract
We determine the lattice in Z n generated by those vectors having exactly k components 1 and the remaining nk components 0; we also exhibit a ''nice'' basis for this lattice. Note that the generating vectors are in a natural way associated with wellknown combinatorial objects. They are the characteristic vectors of both the blocks of the trivial Steiner system S(k,k,n) and the bases of the kuniform matroid on n points. We also obtain the corresponding polyhedron and point out an interesting sublattice (in the case n=m² arising from Combinatorial Matrix Theory.
Item Type:  Article 

Citations:  3 (Google Scholar)  2 (Web of Science) 
Uncontrolled Keywords:  kuniform matroids lattices trivial Steiner system 
Subjects: 

Divisions:  Mathematical Institute 
Related URLs: 
ZAIK Number:  zpr88054 

Depositing User:  Archive Admin 
Date Deposited:  02 Apr 2001 00:00 
Last Modified:  09 Jan 2012 11:39 
URI:  http://earchive.informatik.unikoeln.de/id/eprint/54 