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Bibliographic Details
Main Authors: Gao, Su, Wang, Ruijun, Wang, Tianhao
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.02825
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Table of Contents:
  • We prove that for any generating set $S$ of $\mathbb {Z}^n$, the continuous edge chromatic number of the Schreier graph of the Bernoulli shift action $G=F(S,2^{\mathbb{Z}^n})$ is $χ'_c(G)=χ'(G)+1$. In particular, for the standard generating set, the continuous edge chromatic number of $F(2^{\mathbb {Z}^n})$ is $2n+1$.