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arXiv · 2501.04191

IDP for 2-Partition Maximal Symmetric Polytopes

Su Ji Hong·George D. Nasr
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Abstract

We provide a framework for which one can approach showing the integer decomposition property for symmetric polytopes. We utilize this framework to prove a special case which we refer to as $2$-partition maximal polytopes in the case where it lies in a hyperplane of $\mathbb{R}^3$. Our method involves proving a special collection of polynomials have saturated Newton polytope.

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Su Ji Hong, George D. Nasr. 2025-01-07. IDP for 2-Partition Maximal Symmetric Polytopes. https://arxiv.org/abs/2501.04191

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