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

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

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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, pp. 357-368. ISBN 978-3-540-20831-0

@inproceedings{Brandes2004Chara-5777, title={Characterizing Families of Cuts That Can Be Represented by Axis-Parallel Rectangles}, year={2004}, number={2912}, isbn={978-3-540-20831-0}, address={Berlin [u.a.]}, publisher={Springer}, 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} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/5777"> <dc:creator>Brandes, Ulrik</dc:creator> <dc:contributor>Wagner, Dorothea</dc:contributor> <dc:format>application/pdf</dc:format> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:00:02Z</dcterms:available> <dc:language>eng</dc:language> <dc:rights>deposit-license</dc:rights> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/5777"/> <dcterms:rights rdf:resource="https://creativecommons.org/licenses/by-nc-nd/2.0/legalcode"/> <dc:contributor>Brandes, Ulrik</dc:contributor> <dc:contributor>Cornelsen, Sabine</dc:contributor> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:00:02Z</dc:date> <dcterms:title>Characterizing Families of Cuts That Can Be Represented by Axis-Parallel Rectangles</dcterms:title> <dc:creator>Cornelsen, Sabine</dc:creator> <dcterms:issued>2004</dcterms:issued> <dc:creator>Wagner, Dorothea</dc:creator> <dcterms:bibliographicCitation>First publ. in: Lecture notes in computer science, No. 2912 (2004), pp. 357-368</dcterms:bibliographicCitation> <dcterms:abstract xml:lang="eng">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.</dcterms:abstract> </rdf:Description> </rdf:RDF>

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