Presented by: 
Curt Lindner, Auburn University
Tue 5 Aug, 3:00 pm - 4:00 pm
Building 67, Room 442

Steiner triple systems and 6-cycle systems are related combinatorial objects. Quite recently a new connection between 6-cycle systems and triple systems has been introduced: the squashing of a 6-cycle system into a triple system. In this talk we give a complete solution to the problem of squashing 6-cycle systems into Steiner triple systems by constructing for every n = 1 or 9 (mod 12) a 6-cycle system that can be squashed into a Steiner triple system. This can be extended to maximum packings

This is joint work with Alex Rosa and Mariusz Meszka.