A note on measure-theoretic domatic partitions

Edward Hou

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arXiv · 2209.14534

A note on measure-theoretic domatic partitions

Edward Hou

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Abstract

We show that if $(X,\mu)$ is a standard probability space, then every $\mu$-preserving $\aleph_0$-regular Borel graph on $X$ admits a $\mu$-measurable vertex $\aleph_0$-coloring in which every vertex sees every color in its neighborhood.

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Edward Hou. 2022-09-29. A note on measure-theoretic domatic partitions. https://arxiv.org/abs/2209.14534

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