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Generalized pentagonal geometries.
- Source :
-
Journal of Combinatorial Designs . Jan2022, Vol. 30 Issue 1, p48-70. 23p. - Publication Year :
- 2022
-
Abstract
- A pentagonal geometry PENT(k,r) is a partial linear space, where every line is incident with k points, every point is incident with r lines, and for each point x, there is a line incident with precisely those points that are not collinear with x. Here we generalize the concept by allowing the points not collinear with x to form the point set of a Steiner system S(2,k,w) whose blocks are lines of the geometry. [ABSTRACT FROM AUTHOR]
- Subjects :
- *STEINER systems
*VECTOR spaces
*GEOMETRY
*POINT set theory
*DIVISIBILITY groups
Subjects
Details
- Language :
- English
- ISSN :
- 10638539
- Volume :
- 30
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Designs
- Publication Type :
- Academic Journal
- Accession number :
- 153675155
- Full Text :
- https://doi.org/10.1002/jcd.21811