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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

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Chromatic Number of graph of a set of squares [closed]

We are given a set of squares in the plane with sides parallel to the x-y axes. We know that intersection of every three of them is empty. Show that we can color these squares with red, blue and gr …
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