umu.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 the intricacy of avoiding multiple-entry arrays
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2012 (English)In: Discrete Mathematics, ISSN 0012-365X, E-ISSN 1872-681X, Vol. 312, no 20, 3030-3036 p.Article in journal (Refereed) Published
Abstract [en]

Let A be any n x n array on the symbols vertical bar n vertical bar = {1, . . . , n}, with at most in symbols in each cell. An n x n Latin square L on the symbols till is said to avoid A if no entry in L is present in the corresponding cell of A, and A is said to be avoidable if such a Latin square L exists. The intricacy of this problem is defined to be the minimum number of arrays into which A must be split in order to ensure that each part is avoidable. We present lower and upper bounds for the intricacy, and conjecture that the lower bound is in fact the correct answer. (C) 2012 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
Elsevier, 2012. Vol. 312, no 20, 3030-3036 p.
Keyword [en]
Latin square, Constraint satisfaction, List-coloring
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-60515DOI: 10.1016/j.disc.2012.07.003ISI: 000308450900007OAI: oai:DiVA.org:umu-60515DiVA: diva2:561575
Available from: 2012-10-19 Created: 2012-10-15 Last updated: 2017-12-07Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Öhman, Lars-Daniel
By organisation
Department of Mathematics and Mathematical Statistics
In the same journal
Discrete Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 113 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