A determinant of Stirling cycle numbers counts unlabeled acyclic single-source automata

Details A determinant of Stirling cycle numbers counts unlabeled acyclic single-source automata A determinant of Stirling cycle numbers counts unlabeled acyclic single-source automata

2007-03-31

arxiv.org/abs/0704.0004v1

Mathematics

Combinatorics

11 pages

Scientific paper

We show that a determinant of Stirling cycle numbers counts unlabeled acyclic
single-source automata. The proof involves a bijection from these automata to
certain marked lattice paths and a sign-reversing involution to evaluate the
determinant.

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