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  ПМ-ПУ  » Структура » Преподаватели  » Ногин В.Д.  » Problem 214

Problem 214.

Posed by V.D. Noghin.

Correspondent: V.D. Noghin
Department of Mathematics
Polytechnic Institute of Leningrad
Polytechnicheskaya 29
Leningrad, 195251
Russian Federation.

A poset is said to be m-irreducible if it has dimension m and the removal of any element results in a poset of smaller dimension. What is the maximum value f(n,m) of the number of maximal elements of an m-irreducible poset on n elements with m≥4?