| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4647256 | Discrete Mathematics | 2014 | 21 Pages |
Abstract
We introduce several new constructions for Skolem and Rosa rectangles then we apply them to generate simple cyclic triple systems and disjoint cyclic triple systems. For example, for certain constants C1, C2 we obtain âlog3(2n+C1)â+C2 disjoint Skolem sequences of order n. Finally, we obtain the analogous results for hooked Skolem and Rosa sequences.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Vaclav Linek, Shai Mor, Nabil Shalaby,