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arXiv · 2104.14646

Borel Edge Colorings for Finite Dimensional Groups

Felix Weilacher
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Abstract

We study the potential of Borel asymptotic dimension, a tool introduced recently in arXiv:2009.06721, to help produce Borel edge colorings of Schreier graphs generated by Borel group actions. We find that it allows us to recover the classical bound of Vizing in certain cases, and also use it to exactly determine the Borel edge chromatic number for free actions of abelian groups.

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Felix Weilacher. 2021-04-29. Borel Edge Colorings for Finite Dimensional Groups. https://arxiv.org/abs/2104.14646

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