Diameter of Polyhedra: Limits of Abstraction

Authors Friedrich Eisenbrand, Nicolai Hähnle, Alexander Razborov, Thomas Rothvoß



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Friedrich Eisenbrand
Nicolai Hähnle
Alexander Razborov
Thomas Rothvoß

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Friedrich Eisenbrand, Nicolai Hähnle, Alexander Razborov, and Thomas Rothvoß. Diameter of Polyhedra: Limits of Abstraction. In Flexible Network Design. Dagstuhl Seminar Proceedings, Volume 10211, pp. 1-5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)
https://doi.org/10.4230/DagSemProc.10211.2

Abstract

We investigate 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, we show that this abstraction has its limits by providing an almost quadratic lower bound.
Keywords
  • Polyhedra
  • Graphs

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