Batten, L.M., The nonexistence of finite linear spaces with v = n\* points and b = nz + n+ 2 lines, Discrete Mathematics 115 (1993) 11-15. We show that any finite linear space on u = n\* points and b = n2 + n + 2 lines has nd 4. We also describe all such spaces.
Linear spaces withn2 + n + 2lines
β Scribed by Klaus Metsch
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 914 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Batten, L.M., A characterization of finite linear spaces on v points, a2 10, Discrete Mathematics 118 (1993) 1-9. Characterizations of finite linear spaces on G' points, n\\* 10, then, if it is not a near-pencil, the space is an affine plane of order n less up to three points, with three additiona
I n this paper, we give several new characterizations of 2-inner product spaces and strict convexity for linear 8-normed spaces in terms of orthogonalites and 2-semi-inner product spaces
## Abstract A triple (__x, y, z__) in a linear 2βnormed space (__X__, β.,.β) is called an __isosceles orthogonal triple__, denoted |(__x, y, z__), if |(.,.,.) is said to be __homogeneous__ if |(__x, y, z__) implies |(__ax, y, z__) for all real __a__ and it is __additive__ if |(__x~1~__, __y, z__)