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arXiv · 2307.05835

On the Forking Path Conjecture

Gonzalo Jiménez
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Abstract

We prove the Forking Path Conjecture for all but one element in the symmetric group $S_4$. Two specific paths in the rex graph of that element give a counterexample for the conjecture. We propose a refined conjecture for the longest element of any $S_n$.

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Gonzalo Jiménez. 2023-07-11. On the Forking Path Conjecture. https://arxiv.org/abs/2307.05835

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