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Anti‐Pasch optimal packings with triples.
- Source :
-
Journal of Combinatorial Designs . Jun2019, Vol. 27 Issue 6, p353-368. 16p. - Publication Year :
- 2019
-
Abstract
- It is shown that for v≠6,7,10,11,12,13, there exists an optimal packing with triples on v points that contains no Pasch configurations. Furthermore, for all v≡5 (mod 6), there exists a pairwise balanced design of order v, whose blocks are all triples apart from a single quintuple, and that has no Pasch configurations amongst its triples. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PACKING problem (Mathematics)
*STEINER systems
*CUBES
*CONFIGURATIONS (Geometry)
Subjects
Details
- Language :
- English
- ISSN :
- 10638539
- Volume :
- 27
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Designs
- Publication Type :
- Academic Journal
- Accession number :
- 135744512
- Full Text :
- https://doi.org/10.1002/jcd.21646