Diameter of polyhedra: limits of abstraction

of Polyhedra: Limits of Abstraction Friedrich Eisenbrand∗ Nicolai Hähnle† Alexander Razborov‡ Thomas Rothvoߧ September 25, 2009 tigate the diameter of a natural abstraction of the 1-skeleton of polyhedra. Even if this abstraction is more general than other abstractions previously studied in the literature, known upper bounds on the diameter of polyhedra continue to hold here. On the other hand, that this abstraction has its limits by providing an almost quadratic lower bound.

• Type: Conference
• Year: 2009
• Where: COMPGEOM
• Authors: Friedrich Eisenbrand, Nicolai Hähnle, Thomas Rothvoß
• Keywords: Abstraction, Abstraction Friedrich Eisenbrand∗, COMPGEOM 2009, Discrete Geometry, Natural Abstraction