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?