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- W2912897063 abstract "We prove that for every k > 1, there exist k-fold coverings of the plane (1) with strips, (2) with axis-parallel rectangles, and (3) with homothets of any fixed concave quadrilateral, that cannot be decomposed into two coverings. We also construct, for every k > 1, a set of points P and a family of disks $cal D$ in the plane, each containing at least k elements of P, such that no matter how we color the points of P with two colors, there exists a disk $Din{cal D}$ , all of whose points are of the same color." @default.
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- W2912897063 date "2007-01-01" @default.
- W2912897063 modified "2023-10-06" @default.
- W2912897063 title "Indecomposable Coverings" @default.
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- W2912897063 doi "https://doi.org/10.1007/978-3-540-70666-3_15" @default.
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