On the skeleton of the metric polytope

• Main Authors: Deza, Antoine., Fukuda, Komei., Pasechnik, Dmitrii V., Sato, Masanori.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Science::Physics
• Online Access: https://hdl.handle.net/10356/102099; http://hdl.handle.net/10220/18804
• Institution: Nanyang Technological University

We consider convex polyhedra with applications to well-known combinatorial optimization problems: the metric polytope m n and its relatives. For n ≤ 6 the description of the metric polytope is easy as m n has at most 544 vertices partitioned into 3 orbits; m 7 - the largest previously known instance...