  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.
