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arXiv 1503.05658math.CO
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Hibi回文定理的推广

An Extension of hibi's palindromic theorem

Daeseok Lee, Hyeong-Kwan Ju

摘要:

希比表明,多项式的分子的Ehrhart系列的自反多面体是回文。证明了二部图的每一个图多面体(后文定义)的Ehrhart级数的分子中的那些是回文的。由此,其中一个结构(在OEIS \cite{[O]}的A205497中提出)紧接着出现。

英文摘要:

Hibi showed that the polynomial in the numerator of the Ehrhart series of a reflexive polytope is palindromic. We proved that those in the numerator of the Ehrhart series of every graph polytope (defined later) of the bipartite graph is palindromic. From this, one of the conjectures (raised in the A205497 of OEIS \cite{[O]}) follows immediately.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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