Proof of the High Girth Existence Conjecture via Refined Absorption
Combinatorics
2024-02-29 v1
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.
Keywords
Cite
@article{arxiv.2402.17856,
title = {Proof of the High Girth Existence Conjecture via Refined Absorption},
author = {Michelle Delcourt and Luke Postle},
journal= {arXiv preprint arXiv:2402.17856},
year = {2024}
}
Comments
56 pages