Belt diameter of -zonotopes
arXiv:1111.2932 · doi:10.1016/j.ejc.2013.01.005
Abstract
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.
12 pages, 7 figures, version 3 with several misprints corrected and several minor changes