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AutorSchäfer, Philipp Matthiasdc.contributor.author
Aufnahmedatum2016-03-15T09:04:10Zdc.date.accessioned
In OPARU verfügbar seit2016-03-15T09:04:10Zdc.date.available
Jahr der Erstellung2012dc.date.created
ZusammenfassungThis thesis primarily gives an overview of research on so called betweenness relations with a focus on own contributions to that subject. Betweenness relations represent a generalisation of the geometric notion that one point can lie between two others. Formally, a betweenness relation is a set of triples such that it contains the triple $(a,b,c)$ if and only if it contains the triple $(c,b,a)$. An overview over results on characterisations of betweenness relations that are induced by various mathematical structures is given. This is followed by algorithmic considerations on recognizing special subsets of betweenness relations. Finally, results related to abstract convexity problems - path convexity and conversion processes - are presented. Though they do not fit perfectly to the previous results, they are products of research conducted with my colleagues during the last three years.dc.description.abstract
Spracheendc.language.iso
Verbreitende StelleUniversität Ulmdc.publisher
LizenzCC BY-SA 3.0 Deutschlanddc.rights
Link zum Lizenztexthttp://creativecommons.org/licenses/by-sa/3.0/de/dc.rights.uri
SchlagwortConvexitydc.subject
DDC-SachgruppeDDC 510 / Mathematicsdc.subject.ddc
LCSHBetweenness relations (Mathematics)dc.subject.lcsh
LCSHConvex domainsdc.subject.lcsh
LCSHGraph theorydc.subject.lcsh
TitelBetweenness relationsdc.title
RessourcentypDissertationdc.type
DOIhttp://dx.doi.org/10.18725/OPARU-2541dc.identifier.doi
PPN372507700dc.identifier.ppn
URNhttp://nbn-resolving.de/urn:nbn:de:bsz:289-vts-82145dc.identifier.urn
GNDGraphentheoriedc.subject.gnd
GNDKonvexitätdc.subject.gnd
GNDZwischenrelationdc.subject.gnd
FakultätFakultät für Mathematik und Wirtschaftswissenschaftenuulm.affiliationGeneral
Datum der Freischaltung2012-10-22T14:01:13Zuulm.freischaltungVTS
Peer-Reviewneinuulm.peerReview
Signatur DruckexemplarW: W-H 13.067uulm.shelfmark
DCMI MedientypTextuulm.typeDCMI
VTS-ID8214uulm.vtsID
KategoriePublikationenuulm.category


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