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Extremal problems under dimension constraints

โœ Scribed by R. Ahlswede; H. Aydinian; L.H. Khachatrian


Book ID
104444311
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
84 KB
Volume
10
Category
Article
ISSN
1571-0653

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We consider A(n; k) = max A {|A| : dim(A) 6 k, A โŠ‚ {0; 1} n is an antichain}, where the dimension is taken from the linear span of A in R n , we conjecture the exact value of A(n; k) and we prove this conjecture for all n and k 6 n=2 + 1 or k = n -1. This is a contribution to the program of systemat

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