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Latin cubes with fo...
Latin cubes with forbidden entries
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- Casselgren, Carl Johan, 1982- (författare)
- Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten
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- Markstrom, Klas (författare)
- Umea Univ, Sweden
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- Pham, Lan Anh (författare)
- Umea Univ, Sweden
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(creator_code:org_t)
- Clemson, SC, United States : Electronic Journal of Combinatorics, 2019
- 2019
- Engelska.
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Ingår i: The Electronic Journal of Combinatorics. - Clemson, SC, United States : Electronic Journal of Combinatorics. - 1097-1440 .- 1077-8926. ; 26:1
- Relaterad länk:
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https://urn.kb.se/re...
Abstract
Ämnesord
Stäng
- We consider the problem of constructing Latin cubes subject to the condition that some symbols may not appear in certain cells. We prove that there is a constant gamma amp;gt; 0 such that if n = 2(t) and A is a 3-dimensional n x n x n array where every cell contains at most gamma n symbols, and every symbol occurs at most gamma n times in every line of A, then A is avoidable; that is, there is a Latin cube L of order n such that for every 1 amp;lt;= i, j, k amp;lt;= n, the symbol in position (i, j, k) of L does not appear in the corresponding cell of A.
Ämnesord
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
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