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Search: AMNE:(NATURVETENSKAP) AMNE:(Matematik) AMNE:(Diskret matematik) > Avoidability by Lat...

  • Andrén, Lina J.,1980-Umeå universitet,Institutionen för matematik och matematisk statistik,Diskret matematik (author)

Avoidability by Latin squares of arrays of even order

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  • LIBRIS-ID:oai:DiVA.org:umu-36025
  • https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-36025URI

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  • Language:English
  • Summary in:English

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  • We prove that for any k and any 2k × 2k array A such that no cell in A contains more than   k/2550 symbols, and no symbol occurs more than k/2550 times in any row or column, there is a Latin square such that no 2550cell in the Latin square contains a symbol that occurs in the corresponding cell in A. This proves a conjecture of Häggkvist [8] in the special case of arrays with even side.

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  • Umeå universitetInstitutionen för matematik och matematisk statistik (creator_code:org_t)

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