Steiner triple systems with high chromatic index

Darryn Bryant, Charles Colbourn, Daniel Horsley +1

It is conjectured that every Steiner triple system of order $v\ne 7$ has chromatic index at most $(v+3)/2$ when $v\equiv 3(\mathrm{mod}6)$ and at most $(v+5)/2$ when $v \equiv 1 \pmod…