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Planarity of the 2-level Cactus Model

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CORNELSEN, Sabine, Yefim DINITZ, Dorothea WAGNER, 2001. Planarity of the 2-level Cactus Model

@unpublished{Cornelsen2001Plana-6111, title={Planarity of the 2-level Cactus Model}, year={2001}, author={Cornelsen, Sabine and Dinitz, Yefim and Wagner, Dorothea} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:creator>Wagner, Dorothea</dc:creator> <dcterms:title>Planarity of the 2-level Cactus Model</dcterms:title> <dc:date rdf:datatype="">2011-03-24T16:09:36Z</dc:date> <dcterms:isPartOf rdf:resource=""/> <dc:creator>Dinitz, Yefim</dc:creator> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:format>application/pdf</dc:format> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <bibo:uri rdf:resource=""/> <dc:rights>terms-of-use</dc:rights> <dspace:isPartOfCollection rdf:resource=""/> <dspace:hasBitstream rdf:resource=""/> <dcterms:abstract xml:lang="eng">The 2-level cactus introduced by Dinitz and Nutov (1995) is a data structure that represents the minimum and minimum+1 edge-cuts of an undirected connected multi-graph G in a compact way. In this paper, we study planarity of the 2-level cactus, which can be used e.g. in graph drawing. We give a new sufficient planarity criterion in terms of projection paths over a spanning subtree of a graph. Using this criterion, we show that the 2-level cactus of G is planar if the cardinality of a minimum edge-cut of G is not equal to 2, 3 or 5. On the other hand, we give examples for non-planar 2-level cacti of graphs with these connectivities.</dcterms:abstract> <dcterms:hasPart rdf:resource=""/> <dc:contributor>Cornelsen, Sabine</dc:contributor> <dc:contributor>Wagner, Dorothea</dc:contributor> <dc:creator>Cornelsen, Sabine</dc:creator> <dcterms:available rdf:datatype="">2011-03-24T16:09:36Z</dcterms:available> <dcterms:issued>2001</dcterms:issued> <dc:language>eng</dc:language> <dc:contributor>Dinitz, Yefim</dc:contributor> <dcterms:rights rdf:resource=""/> </rdf:Description> </rdf:RDF>

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