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Vertex colouring, Edge Colouring, List Colouring, Fractional Chromatic Number and other variants of graph colouring problems are all on topic.

6 votes

Can the positive integers be colored so that elements of same color never add to a square?

Edit: the first part of this isn't correct, see the comments from Zach Hunter below. I misinterpreted the question. We can partition the integers into squares and non squares, so it would be sufficien …
Fred T's user avatar
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