Title
On sticky matroids
Abstract
The “sticky conjecture” states that a geometric lattice is modular if and only if any two of its extensions can be “glued together”. It is known to be true as far as rank 3 geometries are concerned. In this paper we show that it is sufficient to consider a very restricted class of rank 4 geometries in order to settle the question. As a corollary we get a characterization of uniform sticky matroids, which has been found by Poljak and Turzik in 1984.
Year
DOI
Venue
1988
10.1016/0012-365X(88)90173-2
Discrete Mathematics
Keywords
Field
DocType
sticky matroids
Matroid,Discrete geometry,Discrete mathematics,Combinatorics,Geometric lattice,If and only if,Modular design,Corollary,Conjecture,Mathematics
Journal
Volume
Issue
ISSN
69
1
Discrete Mathematics
Citations 
PageRank 
References 
2
0.55
4
Authors
2
Name
Order
Citations
PageRank
Achim Bachem1168114.86
Walter Kern220.55