论文标题

独立多型和半开场的整数枚举

Integer point enumeration on independence polytopes and half-open hypersimplices

论文作者

Ferroni, Luis

论文摘要

在本文中,我们研究了Ehrhart均匀基质体的独立性基质多型的Ehrhart理论。事实证明,这些多面体具有带正系数的Ehrhart多项式。为此,我们证明,确实所有半开的 - 刺激性象征都是ehrhart呈阳性,并且使用它们不相同我们的多层。

In this paper we investigate the Ehrhart Theory of the independence matroid polytope of uniform matroids. It is proved that these polytopes have an Ehrhart polynomial with positive coefficients. To do that, we prove that indeed all half-open-hypersimplices are Ehrhart positive, and tile disjointly our polytope using them.

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