Properties of the Steiner Triple Systems of Order 19

• DOI: 10.37236/370
• Publication Date: 2020-01-11T04:11:29Z
• Authors: Charles J. Colbourn; Anthony D. Forbes; Mike J. Grannell; Terry S. Griggs; Petteri Kaski; Patric R. J. Öste...; David A. Pike; Olli Pottonen
• Keywords: Edge Coloring

Properties of the 11$\,$084$\,$874$\,$829 Steiner triple systems order 19 are examined. In particular, there is exactly one 5-sparse, but no 6-sparse, STS(19); uniform two STS(19) with almost parallel classes; all have chromatic number 3; index 10, except for 4$\,$075 designs 11 and 12; 3-resolvable; 3-existentially closed STS(19).