Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Eisenbrand, Friedrich; Hähnle, Nicolai; Razborov, Alexander; Rothvoß, Thomas License
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URN: urn:nbn:de:0030-drops-27247

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Diameter of Polyhedra: Limits of Abstraction



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.

BibTeX - Entry

  author =	{Friedrich Eisenbrand and Nicolai H{\"a}hnle and Alexander Razborov and Thomas Rothvo{\"s}},
  title =	{Diameter of Polyhedra: Limits of Abstraction},
  booktitle =	{Flexible Network Design},
  year =	{2010},
  editor =	{Anupam Gupta and Stefano Leonardi and Berthold V{\"o}cking and Roger Wattenhofer},
  number =	{10211},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{},
  annote =	{Keywords: Polyhedra, Graphs}

Keywords: Polyhedra, Graphs
Seminar: 10211 - Flexible Network Design
Issue date: 2010
Date of publication: 10.08.2010

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