A note on half-planar geometries
โ Scribed by J. G. Oxley
- Book ID
- 105327336
- Publisher
- Springer Netherlands
- Year
- 1982
- Tongue
- English
- Weight
- 170 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0031-5303
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this note we use some simple counting arguments to show that an almost partial geometry is always symmetric.
An embeddable F 2 -geometry 1 with embedding rank er(1)=4 is given, which has no generating set of size 4. 2000 Academic Press ## 1. Introduction Let 1=(P, L) be a point-line geometry with points P and lines L ( P 3 ) (i.e., every line has three points). A subset S P is called a subgeometry of 1
Some new properties of the distribution of elements and vertices with respect to the windows of a connected planar graph G are established. It is also shown that a window matrix of G has properties similar to the properties of an incidence matrix of a graph which is not necessarily planar. A method