DagSemProc.10211.2.pdf
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Diameter of Polyhedra: Limits of Abstraction
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Dagstuhl Seminar Proceedings, Volume 10211
Series: Dagstuhl Seminar Proceedings (DagSemProc) - License:
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- Publication Date: 2010-08-10
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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
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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