Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 44, No. 2, pp. 323-333 (2003)
Corner cuts and their polytopes
Irene MüllerDepartment of Mathematics, ETH Zürich, ETH Zentrum, CH-8092 Zürich, Switzerland, e-mail: email@example.com
Abstract: Corner cut polytopes (or staircase polytopes) were first defined by Shmuel Onn and Bernd Sturmfels in a computational commutative algebra context. They owe their name to the fact that their vertices are in one-to-one correspondence with certain partitions of natural numbers, so called corner cuts.
In this paper, we discuss some structural, nonetheless esthetic aspects of corner cut polytopes. In the 2-dimensional case, we draw a connection between a natural linear order on the vertices and a classical partial order on partitions. Furthermore, we explore the relationship between corner cuts and the face structure of corner cut polytopes.
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Electronic version published on: 1 Aug 2003. This page was last modified: 4 May 2006.