Characterizing Families of Cuts That Can Be Represented by Axis-Parallel Rectangles

Brandes, Ulrik; Cornelsen, Sabine; Wagner, Dorothea

Characterizing Families of Cuts That Can Be Represented by Axis-Parallel Rectangles

Dateien

bcw_cfcra_04.pdfGröße: 870.23 KBDownloads: 234

Datum

2004

Autor:innen

Brandes, Ulrik

Cornelsen, Sabine

Wagner, Dorothea

URI (zitierfähiger Link)

http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-73348

Link zur Lizenz

Attribution-NonCommercial-NoDerivs 2.0 Generic

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Informatik und Informationswissenschaft

Publikationstyp

Beitrag zu einem Konferenzband

Publikationsstatus

Published

Erschienen in

LIOTTA, Giuseppe, ed.. Graph drawing : 11th International Symposium, GD 2003, Perugia, Italy, September 21 - 24, 2003; revised papers. Berlin [u.a.]: Springer, 2004, pp. 357-368. Lecture notes in computer science. 2912. ISBN 978-3-540-20831-0

Zusammenfassung

A drawing of a family of cuts of a graph is an augmented drawing of the graph such that every cut is represented by a simple closed curve and vice versa. We show that the families of cuts that admit a drawing in which every cut is represented by an axis-parallel rectangle are exactly those that have a cactus model that can be rooted such that edges of the graph that cross a cycle of the cactus point to the root. This includes the family of all minimum cuts of a graph. The proof also yields an efficient algorithm to construct a drawing with axis-parallel rectangles if it exists.

Fachgebiet (DDC)

004 Informatik

Zitieren

ISO 690

BRANDES, Ulrik, Sabine CORNELSEN, Dorothea WAGNER, 2004. Characterizing Families of Cuts That Can Be Represented by Axis-Parallel Rectangles. In: LIOTTA, Giuseppe, ed.. Graph drawing : 11th International Symposium, GD 2003, Perugia, Italy, September 21 - 24, 2003; revised papers. Berlin [u.a.]: Springer, 2004, pp. 357-368. Lecture notes in computer science. 2912. ISBN 978-3-540-20831-0

BibTex

@inproceedings{Brandes2004Chara-5777,
  year={2004},
  title={Characterizing Families of Cuts That Can Be Represented by Axis-Parallel Rectangles},
  number={2912},
  isbn={978-3-540-20831-0},
  publisher={Springer},
  address={Berlin [u.a.]},
  series={Lecture notes in computer science},
  booktitle={Graph drawing : 11th International Symposium, GD 2003, Perugia, Italy, September 21 - 24, 2003; revised papers},
  pages={357--368},
  editor={Liotta, Giuseppe},
  author={Brandes, Ulrik and Cornelsen, Sabine and Wagner, Dorothea}
}

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Universitätsbibliographie

Ja