On sticky matroids

https://doi.org/10.1016/0012-365X(88)90173-2Get rights and content
Under an Elsevier user license
open archive

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.

Cited by (0)

Supported by the German Research Association (Deutsche Forschungsgemeinschaft, SFB 303)