How to draw the minimum cuts of a planar graph

Publikationstyp: Zeitschriftenartikel
URI (zitierfähiger Link): http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-71865
Autor/innen: Brandes, Ulrik; Cornelsen, Sabine; Fieß, Christian; Wagner, Dorothea
Erscheinungsjahr: 2004
Erschienen in: Computational Geometry: Theory and Applications ; 29 (2004), 2. - S. 117-133
DOI (zitierfähiger Link): https://dx.doi.org/10.1016/j.comgeo.2004.01.008
Zusammenfassung:
We show how to utilize the cactus representation of all minimum cuts of a graph to visualize the minimum cuts of a planar graph in a planar drawing. In a first approach the cactus is transformed into a hierarchical clustering of the graph that contains complete information on all the minimum cuts. This approach is then extended to drawings in which the two vertex subsets of every minimum cut are separated by a simple closed curve. While both approaches work with any embedding-preserving drawing algorithm, we specifically discuss bend-minimum orthogonal drawings.
Fachgebiet (DDC): 004 Informatik
Schlagwörter: graph drawing, planar graphs, minimum cuts, cactus representation, clustered graphs
Link zur Lizenz: Nutzungsbedingungen
Universitätsbibliographie: Ja

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BRANDES, Ulrik, Sabine CORNELSEN, Christian FIESS, Dorothea WAGNER, 2004. How to draw the minimum cuts of a planar graph. In: Computational Geometry: Theory and Applications. 29(2), pp. 117-133. Available under: doi: 10.1016/j.comgeo.2004.01.008

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