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arXiv · 0704.0004

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

David Callan
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Abstract

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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David Callan. 2007-03-31. A determinant of Stirling cycle numbers counts unlabeled acyclic single-source automata. https://arxiv.org/abs/0704.0004

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