Title
Combinatorial geometries representable over GF(3) and GF(). I. The number of points
Abstract
Letq be a prime power not divisible by 3. We show that the number of points (or rank-1 flats) in a combinatorial geometry (or simple matroid) of rankn representable over GF(3) and GF(q) is at mostn2. Whenq is odd, this bound is sharp and is attained by the Dowling geometries over the cyclic group of order 2.
Year
DOI
Venue
1990
https://doi.org/10.1007/BF02187781
Discrete & Computational Geometry
Keywords
Field
DocType
Discrete Comput Geom,Prime Power,Rank Function,Line Incident,Minimum Rank
Matroid,Discrete geometry,Discrete mathematics,Combinatorics,Cyclic group,Prime power,Mathematics
Journal
Volume
Issue
ISSN
5
1
0179-5376
Citations 
PageRank 
References 
4
0.91
4
Authors
1
Name
Order
Citations
PageRank
Joseph P. S. Kung17820.60