Continuous edge chromatic numbers of abelian group actions
作者机构：School of Mathematical Sciences and Laboratory of Pure Mathematics and CombinatoricsNankai University
出 版 物：《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期：2025年
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：supported by National Natural Science Foundation of China (Grant Nos. 12250710128 and 12271263)
摘 要：We prove that for any generating set S of Z~n, the continuous edge chromatic number χ′c（G） of the Schreier graph of the Bernoulli shift action G = F(S, 2Z~n) is χ′（G） + 1 = |S| + 1. In particular, for the standard generating set, the continuous edge chromatic number of F(2Z~n) is 2n + 1.
同方期刊数据库