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May 1 at 23:29 answer added Sophie M timeline score: 1
Apr 8, 2021 at 3:10 comment added Sam Hopkins Note that a stronger notion of "uncorrelated" could be about the distribution, with respect to a uniformly random $3$-coloring, of the different possible patterns of colorings for a subset $A$ of vertices; in particular how to such distributions for subsets $A$ and $B$ compare with the distribution for their union $A\cup B$. You're essentially just looking at the support of these distributions in your question
Apr 7, 2021 at 22:55 history edited Greg Egan CC BY-SA 4.0
Clarified that region affected by colouring of A must extend slightly beyond grey vertices.
Apr 7, 2021 at 22:35 history edited Greg Egan CC BY-SA 4.0
Clarified what is known about full set of magenta vertices.
Apr 7, 2021 at 5:54 history edited gmvh
Added top-level tag
Apr 7, 2021 at 5:06 history asked Greg Egan CC BY-SA 4.0