Accessible and Deterministic Automata: Enumeration and Boltzmann Samplers

We present a bijection between the set $\mathcal{A}_n$ of deterministic and accessible automata with $n$ states on a $k$-letters alphabet and some diagrams, which can themselves be represented as partitions of the set $[\![ 1..(kn+1) ]\!]$ into $n$ non-empty parts. This combinatorial construction sh...

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Bibliographic Details
Main Authors: Frédérique Bassino, Cyril Nicaud
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2006-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/3499/pdf