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On products of strong Skolem starters.
- Source :
-
Journal of Combinatorial Designs . Oct2024, Vol. 32 Issue 10, p464-487. 24p. - Publication Year :
- 2024
-
Abstract
- In 1991, Shalaby conjectured that any Zn, where n≡1 or 3(mod8),n≥11, admits a strong Skolem starter. In 2018, the authors fully described and explicitly constructed the infinite "cardioidal" family of strong Skolem starters. No other infinite family of these combinatorial designs was known to date. Statements regarding the products of starters, proven in this paper give a new way of generating strong or skew Skolem starters of composite orders. This approach extends our previous result by generating new infinite families of these starters that are not cardioidal. [ABSTRACT FROM AUTHOR]
- Subjects :
- *STEINER systems
Subjects
Details
- Language :
- English
- ISSN :
- 10638539
- Volume :
- 32
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Designs
- Publication Type :
- Academic Journal
- Accession number :
- 177904030
- Full Text :
- https://doi.org/10.1002/jcd.21943