ORTHOGONAL COLORINGS OF THE SPHERE

Cited 0 time in webofscience Cited 0 time in scopus
  • Hit : 618
  • Download : 0
DC FieldValueLanguage
dc.contributor.authorHolmsen, Andreasko
dc.contributor.authorLee, Seunghunko
dc.date.accessioned2016-07-06T04:27:25Z-
dc.date.available2016-07-06T04:27:25Z-
dc.date.created2016-02-16-
dc.date.created2016-02-16-
dc.date.issued2016-
dc.identifier.citationMATHEMATIKA, v.62, no.2, pp.492 - 501-
dc.identifier.issn0025-5793-
dc.identifier.urihttp://hdl.handle.net/10203/209571-
dc.description.abstractAn orthogonal coloring of the two-dimensional unit sphere S-2, is a partition of S-2 into parts such that no part contains a pair of orthogonal points: that is, a pair of points at spherical distance pi/2 apart. It is a well-known result that an orthogonal coloring of S-2 requires at least four parts, and orthogonal colorings with exactly four parts can easily be constructed from a regular octahedron centered at the origin. An intriguing question is whether or not every orthogonal 4-coloring of S-2 is such an octahedral coloring. In this paper, we address this question and show that if every color class has a non-empty interior, then the coloring is octahedral. Some related results are also given.-
dc.languageEnglish-
dc.publisherLONDON MATH SOC-
dc.subjectCHROMATIC NUMBER-
dc.subjectDISTANCE GRAPHS-
dc.subjectCHOICE-
dc.subjectAXIOM-
dc.subjectPLANE-
dc.titleORTHOGONAL COLORINGS OF THE SPHERE-
dc.typeArticle-
dc.identifier.wosid000375947300010-
dc.identifier.scopusid2-s2.0-85017160721-
dc.type.rimsART-
dc.citation.volume62-
dc.citation.issue2-
dc.citation.beginningpage492-
dc.citation.endingpage501-
dc.citation.publicationnameMATHEMATIKA-
dc.identifier.doi10.1112/S0025579315000303-
dc.contributor.localauthorHolmsen, Andreas-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordPlusCHROMATIC NUMBER-
dc.subject.keywordPlusDISTANCE GRAPHS-
dc.subject.keywordPlusCHOICE-
dc.subject.keywordPlusAXIOM-
dc.subject.keywordPlusPLANE-
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0