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arxiv: 2201.04554 · v4 · pith:NHAXABA5new · submitted 2022-01-12 · 🧮 math.CO

High-Girth Steiner Triple Systems

classification 🧮 math.CO
keywords steinersystemstriplearbitrarilyconjectureexistencegirthhigh
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We prove a 1973 conjecture due to Erd\H{o}s on the existence of Steiner triple systems with arbitrarily high girth.

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