Enumeration of mosaics Publications, to be read Random generation of linear codes Endofunctions of given cycle type

Endofunctions of given cycle type

Jointly written with PETER SCHÖPF. The Annales des Sciences Mathematiques du Quebec 23 (2), 173 - 187, 1999.

Abstract: Iteration of an endofunction f on a finite set X defines cycles of f. To a given set L of lengths and to a given function m: L→ ℕ0, the number of all those functions having m(l) cycles of length l in L and possibly other cycles of length l not in L will be computed. Furthermore by introducing group actions the number of patterns of these functions can be derived from the Cauchy-Frobenius Lemma. We compare these solutions with the results derived from combinatorial species theory.

harald.fripertinger "at" uni-graz.at, January 12, 2012

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