DC Field | Value | Language |
---|---|---|
dc.contributor.author | Holmsen, Andreas | ko |
dc.contributor.author | Lee, Seunghun | ko |
dc.date.accessioned | 2016-07-06T04:27:25Z | - |
dc.date.available | 2016-07-06T04:27:25Z | - |
dc.date.created | 2016-02-16 | - |
dc.date.created | 2016-02-16 | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | MATHEMATIKA, v.62, no.2, pp.492 - 501 | - |
dc.identifier.issn | 0025-5793 | - |
dc.identifier.uri | http://hdl.handle.net/10203/209571 | - |
dc.description.abstract | An 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.language | English | - |
dc.publisher | LONDON MATH SOC | - |
dc.subject | CHROMATIC NUMBER | - |
dc.subject | DISTANCE GRAPHS | - |
dc.subject | CHOICE | - |
dc.subject | AXIOM | - |
dc.subject | PLANE | - |
dc.title | ORTHOGONAL COLORINGS OF THE SPHERE | - |
dc.type | Article | - |
dc.identifier.wosid | 000375947300010 | - |
dc.identifier.scopusid | 2-s2.0-85017160721 | - |
dc.type.rims | ART | - |
dc.citation.volume | 62 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 492 | - |
dc.citation.endingpage | 501 | - |
dc.citation.publicationname | MATHEMATIKA | - |
dc.identifier.doi | 10.1112/S0025579315000303 | - |
dc.contributor.localauthor | Holmsen, Andreas | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | CHROMATIC NUMBER | - |
dc.subject.keywordPlus | DISTANCE GRAPHS | - |
dc.subject.keywordPlus | CHOICE | - |
dc.subject.keywordPlus | AXIOM | - |
dc.subject.keywordPlus | PLANE | - |
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