| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4652892 | Electronic Notes in Discrete Mathematics | 2007 | 5 Pages |
Abstract
It is known that a Steiner triple system is projective if and only if it does not contain the four-triple configuration C14. We find three configurations such that a Steiner triple system is affine if and only if it does not contain any of these configurations. Similarly, we characterize Hall triple systems, a superclass of affine Steiner triple systems, using two forbidden configurations.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
