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arXiv · 1410.5259

The asymptotic diameter of cyclohedra

Lionel Pournin
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Abstract

It is shown here that the diameter of the $d$-dimensional cyclohedron is not greater than $\lceil 5d/2\rceil-2$. It is also shown that the $5/2$ coefficient in this upper bound is asymptotically sharp. More precisely, the $d$-dimensional cyclohedron has diameter at least $5d/2-4\sqrt{d}-4$.

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Lionel Pournin. 2014-10-20. The asymptotic diameter of cyclohedra. https://doi.org/10.1007/s11856-017-1492-0

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