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We show how to color the tiles in a heirarchical tiling system so that the resulting system is not only repetitive (i.e., has the local isomorphism property) but has prescribed col...

A. El Kacimi Alaoui, R. Parthasarathy

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9

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DCG
1999

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Piles of Cubes, Monotone Path Polytopes, and Hyperplane Arrangements

13 years 4 months ago

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Monotone path polytopes arise as a special case of the construction of fiber polytopes, introduced by Billera and Sturmfels. A simple example is provided by the permutahedron, whic...

Christos A. Athanasiadis

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14

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DCG
1999

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On Flag Vectors, the Dowling Lattice, and Braid Arrangements

13 years 4 months ago

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Westudycomplexhyperplanearrangementswhoseintersectionlattices,known as the Dowling lattices, are a natural generalization of the partition lattice. We give a combinatorial descript...

Richard Ehrenborg, Margaret Readdy

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