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

dmtcs:421 - Discrete Mathematics & Theoretical Computer Science, January 1, 2008, Vol. 10 no. 2
A determinant of Stirling cycle numbers counts unlabeled acyclic single-source automata

Authors: Callan, David

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. We also give a formula for the number of acyclic automata with a given set of sources.


Source : oai:HAL:hal-00972318v1
Volume: Vol. 10 no. 2
Section: Combinatorics
Published on: January 1, 2008
Submitted on: March 26, 2015
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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