Abstract
We prove a 1973 conjecture due to Erdős on the existence of Steiner triple systems with arbitrarily high girth.
Authors
Matthew Kwan
Institute of Science and Technology Austria (IST Austria), 3400 Klosterneuburg, Austria
Ashwin Sah
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
Mehtaab Sawhney
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
Michael Simkin
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA