Upward geometric graph embeddings into point sets

Angelini, P; Frati, F; Geyer, M; Kaufmann, M; Mchedlidze, T; Symvonis, A

dc.contributor.author	Angelini, P	en
dc.contributor.author	Frati, F	en
dc.contributor.author	Geyer, M	en
dc.contributor.author	Kaufmann, M	en
dc.contributor.author	Mchedlidze, T	en
dc.contributor.author	Symvonis, A	en
dc.date.accessioned	2014-03-01T02:53:31Z
dc.date.available	2014-03-01T02:53:31Z
dc.date.issued	2011	en
dc.identifier.issn	03029743	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/36376
dc.subject.other	Directed graphs	en
dc.subject.other	Geometric graphs	en
dc.subject.other	Point set	en
dc.subject.other	Straight-line embeddings	en
dc.subject.other	Computation theory	en
dc.subject.other	Drawing (graphics)	en
dc.subject.other	Graph theory	en
dc.subject.other	Computational geometry	en
dc.title	Upward geometric graph embeddings into point sets	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1007/978-3-642-18469-7_3	en
heal.identifier.secondary	http://dx.doi.org/10.1007/978-3-642-18469-7_3	en
heal.publicationDate	2011	en
heal.abstract	We study the problem of characterizing the directed graphs with an upward straight-line embedding into every point set in general or in convex position. We solve two questions posed by Binucci et al. [Computational Geometry: Theory and Applications, 2010]. Namely, we prove that the classes of directed graphs with an upward straight-line embedding into every point set in convex position and with an upward straight-line embedding into every point set in general position do not coincide, and we prove that every directed caterpillar admits an upward straight-line embedding into every point set in convex position. Further, we provide new partial positive results on the problem of constructing upward straight-line embeddings of directed paths into point sets in general position. © 2011 Springer-Verlag.	en
heal.journalName	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)	en
dc.identifier.doi	10.1007/978-3-642-18469-7_3	en
dc.identifier.volume	6502 LNCS	en
dc.identifier.spage	25	en
dc.identifier.epage	37	en