In this paper some of the work in linear spaces in which most of the lines have few points is surveyed. This includes existence results, blocking sets and embeddings. Also, it is shown that any linear space of order c can be embedded in a linear space of order about 13v in which there are no lines o
Linear spaces with few lines
β Scribed by Klaus Metsch
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 533 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Given a set of n blue and n red points in the plane, not all on a line, it is shown that there exists a bichromatic line passing through at most two blue points and at most two red points. There does not necessarily exist a line passing through precisely one blue and one red point. This result is ex
We show that if the collection of all binary vectors of length n is partitioned into k spheres, then either k 2 or k n+2. Moreover, such partitions with k=n+2 are essentially unique. ## 1997 Academic Press Recently there has been some interest in the combinatorics of the geometry of the Hamming sp