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Branches in recursive trees

Szymański J.

Fasciculi Mathematici

1999

Nr 29

139-147

The paper gives a theorem on the indefinite integral of H-almost periodic function and a theorem on approximation of an H-almost periodic function by means Steklov functions.

Vertices of small degrees in random recursive dags

Dondajewski M., Szymański J.

Fasciculi Mathematici

1998

Nr 28

31-41

In this paper random recursive dags ( directed acyclic graphs) are considered. For such combinatorial structures the expected number of vertices of small outdegrees as well as the degree of a given vertex are studied.