miun.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
On line arrangements in the hyperbolic plane
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
2002 (English)In: European journal of combinatorics (Print), ISSN 0195-6698, E-ISSN 1095-9971, Vol. 23, no 5, 549-557 p.Article in journal (Refereed) Published
Abstract [en]

Given a finite collection L of lines in the hyperbolic plane H, we denote by k = k(L) its Karzanov number, i.e., the maximal number of pairwise intersecting lines in L, and by C(L) and n = n(L) the set and the number, respectively, of those points at infinity that are incident with at least one line from L. By using purely combinatorial properties of cyclic seta:, it is shown that #L less than or equal to 2nk - ((2k+1)(2)) always holds and that #L equals 2nk - ((2k+1)(2)) if and only if there is no collection L' of lines in H with L subset of or equal to L', k(L') = k(L) and C(L') = C(L).

Place, publisher, year, edition, pages
2002. Vol. 23, no 5, 549-557 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-13627DOI: 10.1006/eujc.2002.0582ISI: 000178540300008Scopus ID: 2-s2.0-0036382989OAI: oai:DiVA.org:miun-13627DiVA: diva2:411792
Available from: 2011-04-19 Created: 2011-04-19 Last updated: 2016-10-17Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Moulton, Vincent
By organisation
Department of Engineering, Physics and Mathematics
In the same journal
European journal of combinatorics (Print)
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 33 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf