Title
Toric Ideals and an Infinite Family of Normal (0, 1)-Polytopes without Unimodular Regular Triangulations
Abstract
n infinite family of normal (0,1) -polytopes, none of whose unimodular triangulations is regular, is constructed. For the construction, we discuss triangulations of convex polytopes and flips of triangulations by studying markings on the set of circuits of toric ideals.
Year
DOI
Venue
2002
10.1007/s00454-001-0087-y
Discrete & Computational Geometry
Keywords
Field
DocType
convex polytope
Topology,Combinatorics,Regular polygon,Polytope,Unimodular matrix,Mathematics
Journal
Volume
Issue
ISSN
27
4
0179-5376
Citations 
PageRank 
References 
0
0.34
5
Authors
1
Name
Order
Citations
PageRank
Hidefumi Ohsugi12710.42