Decomposing the Secondary Cayley Polytope |
| |
Authors: | T Michiels R Cools |
| |
Institution: | (1) Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200 A, B-3001 Heverlee, Belgium Tom.Michiels@cs.kuleuven.ac.be, Ronald.Cools@cs.kuleuven.ac.be , BE |
| |
Abstract: | The vertices of the secondary polytope of a point configuration correspond to its regular triangulations. The Cayley trick
links triangulations of one point configuration, called the Cayley polytope, to the fine mixed subdivisions of a tuple of
point configurations. In this paper we investigate the secondary polytope of this Cayley polytope. Its vertices correspond
to all regular mixed subdivisions of a tuple of point configurations. We demonstrate that it equals the Minkowski sum of polytopes,
which we call mixed secondary polytopes, whose vertices correspond to regular-cell configurations.
Received October 1, 1998, and in revised form July 23, 1999. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|