Paper Info
Title
Unique Minimal Liftings for Simplicial Polytopes
Abstract
For a minimal inequality derived from a maximal lattice-free simplicial polytope in Rn, we investigate the region where minimal liftings are uniquely defined, and we characterize when this region covers Rn. We then use this characterization to show that a minimal inequality derived from a maximal lattice-free simplex in Rn with exactly one lattice point in the relative interior of each facet has a unique minimal lifting if and only if all the vertices of the simplex are lattice points.
Year
DOI
Venue
2012
10.1287/moor.1110.0536
Math. Oper. Res.
Keywords
DocType
Volume
Simplicial Polytopes,relative interior,unique minimal lifting,maximal lattice-free simplicial polytope,lattice point,maximal lattice-free simplex,Unique Minimal Liftings,minimal liftings,minimal inequality
Journal
37
Issue
ISSN
Citations 
2
0364-765X
11
PageRank 
References 
Authors
0.62
6
3
Name
Order
Citations
PageRank
Amitabh Basu133127.36
Gérard Cornuéjols22390279.95
Matthias KöPpe319120.95