Vertex-facet incidences of unbounded polyhedra
| dc.contributor.author | Joswig, Michael | |
| dc.contributor.author | Kaibel, Volker | |
| dc.contributor.author | Pfetsch, Marc E. | |
| dc.contributor.author | Ziegler, Günter M. | |
| dc.date.accessioned | 2018-10-02T15:41:57Z | |
| dc.date.available | 2018-10-02T15:41:57Z | |
| dc.date.issued | 2001 | |
| dc.description | Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich. | de |
| dc.description | This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively. | en |
| dc.description.abstract | How much of the combinatorial structure of a pointed polyhedron is contained in its vertex-facet incidences? Not too much, in general, as we demonstrate by examples. However, one can tell from the incidence data whether the polyhedron is bounded. In the case of a polyhedron that is simple and ``simplicial,'' i.e., a d-dimensional polyhedron that has d facets through each vertex and d vertices on each facet, we derive from the structure of the vertexfacet incidence matrix that the polyhedron is necessarily bounded. In particular, this yields a characterization of those polyhedra that have circulants as vertex-facet incidence matrices. | en |
| dc.identifier.eissn | 1615-7168 | |
| dc.identifier.issn | 1615-715X | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/8281 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-7432 | |
| dc.language.iso | en | |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject.ddc | 510 Mathematik | de |
| dc.subject.other | combinatorial structure | en |
| dc.subject.other | polyhedron | en |
| dc.subject.other | vertex | en |
| dc.subject.other | incidence matrix | en |
| dc.title | Vertex-facet incidences of unbounded polyhedra | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.doi | 10.1515/advg.2001.002 | |
| dcterms.bibliographicCitation.issue | 1 | |
| dcterms.bibliographicCitation.journaltitle | Advances in Geometry | en |
| dcterms.bibliographicCitation.originalpublishername | De Gruyter | en |
| dcterms.bibliographicCitation.originalpublisherplace | Berlin | en |
| dcterms.bibliographicCitation.pageend | 36 | |
| dcterms.bibliographicCitation.pagestart | 23 | |
| dcterms.bibliographicCitation.volume | 1 | |
| tub.accessrights.dnb | domain | |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | de |
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