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URN: urn:nbn:de:0030-drops-27247
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Eisenbrand, Friedrich ; Hähnle, Nicolai ; Razborov, Alexander ; Rothvoß, Thomas

Diameter of Polyhedra: Limits of Abstraction

10211.EisenbrandFriedrich.ExtAbstract.2724.pdf (0.1 MB)


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
Collection: 10211 - Flexible Network Design
Issue Date: 2010
Date of publication: 10.08.2010

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