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New Steiner 2-designs from old ones by paramodifications.
- Source :
-
Discrete Applied Mathematics . Jan2021, Vol. 288, p114-122. 9p. - Publication Year :
- 2021
-
Abstract
- Techniques of producing new combinatorial structures from old ones are commonly called trades. The switching principle applies for a broad class of designs: it is a local transformation that modifies two columns of the incidence matrix. In this paper, we present a construction, which is a generalization of the switching transform for the class of Steiner 2-designs. We call this construction paramodification of Steiner 2-designs, since it modifies the parallelism of a subsystem. We study in more detail the paramodifications of affine planes, Steiner triple systems, and abstract unitals. Computational results show that paramodification can construct many new unitals. [ABSTRACT FROM AUTHOR]
- Subjects :
- *STEINER systems
*GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 0166218X
- Volume :
- 288
- Database :
- Academic Search Index
- Journal :
- Discrete Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 146736477
- Full Text :
- https://doi.org/10.1016/j.dam.2020.08.026