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Proof of the High Girth Existence Conjecture via Refined Absorption
Published 27 Feb 2024 in math.CO | (2402.17856v1)
Abstract: We prove the High Girth Existence Conjecture - the common generalization of the Existence Conjecture for Combinatorial Designs originating from the 1800s and Erd\H{o}s' Conjecture from 1973 on the Existence of High Girth Steiner Triple Systems.
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