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  • Denote by gdist(p) the least non-zero number of cells that have to be changed to get a latin square from the table of addition modulo p. A conjecture of Drapal, Cavenagh and Wanless states that there exists c > 0 such that gdist(p) clog(p). In this paper the conjecture is proved for c approximate to 7.21, and as an intermediate result. it is shown that an equilateral triangle of side n can be non-trivially dissected into at most 5 log(2)(n) integer-sided equilateral triangles. The paper also presents some evidence which suggests that gdist(p)/log(p) approximate to 3.56 for large values of p. (C) 2013 Elsevier Inc. All rights reserved.
  • Denote by gdist(p) the least non-zero number of cells that have to be changed to get a latin square from the table of addition modulo p. A conjecture of Drapal, Cavenagh and Wanless states that there exists c > 0 such that gdist(p) clog(p). In this paper the conjecture is proved for c approximate to 7.21, and as an intermediate result. it is shown that an equilateral triangle of side n can be non-trivially dissected into at most 5 log(2)(n) integer-sided equilateral triangles. The paper also presents some evidence which suggests that gdist(p)/log(p) approximate to 3.56 for large values of p. (C) 2013 Elsevier Inc. All rights reserved. (en)
Title
  • Distances of group tables and latin squares via equilateral triangle dissections
  • Distances of group tables and latin squares via equilateral triangle dissections (en)
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  • Distances of group tables and latin squares via equilateral triangle dissections
  • Distances of group tables and latin squares via equilateral triangle dissections (en)
skos:notation
  • RIV/00216208:11320/14:10287280!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • I
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  • 1
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  • 11795
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  • RIV/00216208:11320/14:10287280
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  • Plastic constant; Latin square; Group table; Dissection Equilateral triangle (en)
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  • US - Spojené státy americké
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  • [841026091039]
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  • Journal of Combinatorial Theory - Series A
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  • 123
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  • Szabados, Michal
http://linked.open...ain/vavai/riv/wos
  • 000330749100001
issn
  • 0097-3165
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.jcta.2013.10.005
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  • 11320
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