Sciweavers

JCT
2007

On 6-sparse Steiner triple systems

13 years 10 months ago
On 6-sparse Steiner triple systems
We give the first known examples of 6-sparse Steiner triple systems by constructing 29 such systems in the residue class 7 modulo 12, with orders ranging from 139 to 4447. We then present a recursive construction which establishes the existence of 6-sparse systems for an infinite set of orders. Observations are also made concerning existing construction methods for perfect Steiner triple systems, and we give a further example of such a system. This has order 135 859 and is only the fourteenth known. Finally, we present a uniform Steiner triple system of order 180 907. AMS classification: 05B07.
A. D. Forbes, Mike J. Grannell, Terry S. Griggs
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2007
Where JCT
Authors A. D. Forbes, Mike J. Grannell, Terry S. Griggs
Comments (0)