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Upper bound for the number of perfect (n,3)-codes

โœ Scribed by Alexander Sapozhenko


Book ID
119236644
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
170 KB
Volume
38
Category
Article
ISSN
1571-0653

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The Ramsey number N(3, 3, 3, 3; 2) is the smallest integer n such that each 4-coloring by edges of the complete graph on n vertices contains monochromatic triangles. It is well known that 51 ~< N(3,3,3,3;2) ~< 65. Here we prove that N(3,3,3,3;2) ~< 64.