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JCT
2010
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13 years 3 months ago
Coloring axis-parallel rectangles
For every k and r, we construct a finite family of axis-parallel rectangles in the plane such that no matter how we color them with k colors, there exists a point covered by prec...
János Pach, Gábor Tardos
GD
2003
Springer
13 years 9 months ago
Characterizing Families of Cuts That Can Be Represented by Axis-Parallel Rectangles
A drawing of a family of cuts of a graph is an augmented drawing of the graph such that every cut in the family is represented by a simple closed curve and vice versa. We show tha...
Ulrik Brandes, Sabine Cornelsen, Dorothea Wagner