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| arXiv:0706.2920 |
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Title: Tropical hyperplane arrangements and oriented matroids
Authors: Federico Ardila, Mike Develin
Categories: math.CO Combinatorics
Comments: 20 pages, 7 figures, best viewed in color
Report number: AIM 2007-27
MSC: 52C35; 52C40; 52C22
Abstract: We study the combinatorial properties of a tropical hyperplane arrangement.
We define tropical oriented matroids, and prove that they share many of the
properties of ordinary oriented matroids. We show that a tropical oriented
matroid determines a subdivision of a product of two simplices, and conjecture
that this correspondence is a bijection.
Owner: Federico Ardila
Version 1: Wed, 20 Jun 2007 06:20:38 GMT
Version 2: Mon, 25 Jun 2007 20:06:16 GMT
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