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graphs that can be embedded into the plane, i.e. that can be drawn without crossings between the lines representing edges.

4 votes
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133 views

Chromatic number of rectangle tilings

Suppose we have a region of the plane tiled by finitely many rectangles. We want to color the rectangles so that two rectangles have different colors if they share a part of an edge or if they share …
Adam Chalcraft's user avatar