Abstract | ||
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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 |
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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 Bachem | 1 | 168 | 114.86 |
Walter Kern | 2 | 2 | 0.55 |