$Π$的带直径-地带性
Belt diameter of $Π$-zonotopes
摘要：
证明了任意d维变分面体通过删除带向量得到的带形的带直径不超过3。此外，如果d不大于6，则其带直径从上方以2为界。我们还表明，这些边界是尖锐的。结果证明了这类带拓扑的对偶多胞形的边图的直径分别不大于4和3。
英文摘要：
We prove that any d-dimensional zonotope obtained from permutahedron by deleting zone vectors has belt diameter at most 3. Moreover if d is not greater than 6 then its belt diameter is bounded from above by 2. Also we show that these bounds are sharp. As a consequence we show that diameter of the edge graph of dual polytope for such zonotopes is not greater then 4 and 3 respectively.
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。
