Dynamic Grid Embedding with Few Bends and Changes

Lade...
Vorschaubild
Dateien
preprint_069.pdf
preprint_069.pdfGröße: 295.23 KBDownloads: 287
Datum
1998
Autor:innen
Wagner, Dorothea
Herausgeber:innen
Kontakt
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Auflagebezeichnung
DOI (zitierfähiger Link)
ArXiv-ID
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Open Access Green
Core Facility der Universität Konstanz
Gesperrt bis
Titel in einer weiteren Sprache
Forschungsvorhaben
Organisationseinheiten
Zeitschriftenheft
Publikationstyp
Preprint
Publikationsstatus
Published
Erschienen in
Zusammenfassung

In orthogonal graph drawing, edges are represented by sequences of horizontal and vertical straight line segments. For graphs of degree at most four, this can be achieved by embedding the graph in a grid. The number of bends displayed is an important criterion for layout quality. A well-known algorithm of Tamassia efficiently embeds a planar graph with fixed combinatorial embedding and vertex degree at most four in the grid such that the number of bends is minimum.

When given a dynamic graph, i.e. a graph that changes over time, one has to take into account not only the static criteria of layout quality, but also the effort users spent to regain familiarity with the layout. Therefore, consecutive layouts should compromize between quality and change. We here extend Tamassia's layout model to dynamic graphs in a way that allows to specify the relative importance of the number of bends vs. the number of changes between consecutive layouts. We also show that optimal layouts in the dynamic model can be computed efficiently by means that are very similar to the static model, namely by solving a minimum cost flow problem in a suitably defined network.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
004 Informatik
Schlagwörter
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690BRANDES, Ulrik, Dorothea WAGNER, 1998. Dynamic Grid Embedding with Few Bends and Changes
BibTex
@unpublished{Brandes1998Dynam-6429,
  year={1998},
  title={Dynamic Grid Embedding with Few Bends and Changes},
  author={Brandes, Ulrik and Wagner, Dorothea}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/6429">
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:12:40Z</dc:date>
    <dc:creator>Brandes, Ulrik</dc:creator>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/6429"/>
    <dc:format>application/pdf</dc:format>
    <dc:creator>Wagner, Dorothea</dc:creator>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/6429/1/preprint_069.pdf"/>
    <dcterms:title>Dynamic Grid Embedding with Few Bends and Changes</dcterms:title>
    <dc:contributor>Wagner, Dorothea</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dc:rights>terms-of-use</dc:rights>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/6429/1/preprint_069.pdf"/>
    <dcterms:issued>1998</dcterms:issued>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:12:40Z</dcterms:available>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:abstract xml:lang="eng">In orthogonal graph drawing, edges are represented by sequences of horizontal and vertical straight line segments. For graphs of degree at most four, this can be achieved by embedding the graph in a grid. The number of bends displayed is an important criterion for layout quality. A well-known algorithm of Tamassia efficiently embeds a planar graph with fixed combinatorial embedding and vertex degree at most four in the grid such that the number of bends is minimum.&lt;br /&gt;&lt;br /&gt;When given a dynamic graph, i.e. a graph that changes over time, one has to take into account not only the static criteria of layout quality, but also the effort users spent to regain familiarity with the layout. Therefore, consecutive layouts should compromize between quality and change. We here extend Tamassia's layout model to dynamic graphs in a way that allows to specify the relative importance of the number of bends vs. the number of changes between consecutive layouts. We also show that optimal layouts in the dynamic model can be computed efficiently by means that are very similar to the static model, namely by solving a minimum cost flow problem in a suitably defined network.</dcterms:abstract>
    <dc:language>eng</dc:language>
    <dc:contributor>Brandes, Ulrik</dc:contributor>
  </rdf:Description>
</rdf:RDF>
Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Kontakt
URL der Originalveröffentl.
Prüfdatum der URL
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Nein
Begutachtet
Diese Publikation teilen