On the number of reversible homogeneous structures

Verfasser / Beitragende:
[I. V. Kucherenko]
Ort, Verlag, Jahr:
2003
Enthalten in:
Discrete Mathematics and Applications, 13/3(2003-07-01), 301-305
Format:
Artikel (online)
ID: 378875450
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100 1 |a Kucherenko  |D I. V. 
245 1 0 |a On the number of reversible homogeneous structures  |h [Elektronische Daten]  |c [I. V. Kucherenko] 
520 3 |a We estimate the number r (n,m) of functions of n-valued logic in m + 1 variables which are local transition functions of reversible homogeneous structures with arbitrary fixed neighbourhood pattern consisting of m vectors. It follows from the results obtained in the paper that if n → ∞, then ln r (n,m) ∼ n m+1 ln n uniformly in m. 
540 |a Copyright 2003, Walter de Gruyter 
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