Diameter of Polyhedra: Limits of Abstraction

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

doi:10.4230/DagSemProc.10211.2

Document

Diameter of Polyhedra: Limits of Abstraction

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

Part of: Volume: Dagstuhl Seminar Proceedings, Volume 10211
Part of: Series: Dagstuhl Seminar Proceedings (DagSemProc)
License: Creative Commons Attribution 4.0 International license
Publication Date: 2010-08-10

PDF

File

PDF

DagSemProc.10211.2.pdf

Filesize: 107 kB
5 pages

Document Identifiers

DOI: 10.4230/DagSemProc.10211.2
URN: urn:nbn:de:0030-drops-27247

Subject Classification

Keywords

Polyhedra
Graphs

Metrics

Access Statistics
Total Accesses (updated on a weekly basis)

0

PDF Downloads

0

Metadata Views

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.

Cite As Get BibTex

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

Author Details

Friedrich Eisenbrand

Nicolai Hähnle

Alexander Razborov

Thomas Rothvoß

Questions / Remarks / Feedback

Feedback for Dagstuhl Publishing

Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail