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Small point sets for simply-nested planar graphs

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dc.contributor.author Angelini, P en
dc.contributor.author Di Battista, G en
dc.contributor.author Kaufmann, M en
dc.contributor.author McHedlidze, T en
dc.contributor.author Roselli, V en
dc.contributor.author Squarcella, C en
dc.date.accessioned 2014-03-01T02:54:01Z
dc.date.available 2014-03-01T02:54:01Z
dc.date.issued 2012 en
dc.identifier.issn 03029743 en
dc.identifier.uri http://hdl.handle.net/123456789/36538
dc.subject.other Open problems en
dc.subject.other Planar graph en
dc.subject.other Point set en
dc.subject.other Drawing (graphics) en
dc.subject.other Geometry en
dc.subject.other Graph theory en
dc.title Small point sets for simply-nested planar graphs en
heal.type conferenceItem en
heal.identifier.primary 10.1007/978-3-642-25878-7_8 en
heal.identifier.secondary http://dx.doi.org/10.1007/978-3-642-25878-7_8 en
heal.publicationDate 2012 en
heal.abstract A point set P∈⊆∈R2 is universal for a class G if every graph of has a planar straight-line embedding into P. We prove that there exists a O(n(log n/log log n)2)size universal point set for the class of simply-nested n-vertex planar graphs. This is a step towards a full answer for the well-known open problem on the size of the smallest universal point sets for planar graphs [1, 5, 9]. © 2012 Springer-Verlag Berlin Heidelberg. en
heal.journalName Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) en
dc.identifier.doi 10.1007/978-3-642-25878-7_8 en
dc.identifier.volume 7034 LNCS en
dc.identifier.spage 75 en
dc.identifier.epage 85 en


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