An Extremal Series of Eulerian Synchronizing Automata
Autor: | Szykuła, Marek, Vorel, Vojtěch |
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Rok vydání: | 2016 |
Předmět: | |
Zdroj: | Developments in Language Theory (DLT 2016), volume 9840 of LNCS, pages 380--392, 2016 |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/978-3-662-53132-7_31 |
Popis: | We present an infinite series of $n$-state Eulerian automata whose reset words have length at least $(n^2-3)/2$. This improves the current lower bound on the length of shortest reset words in Eulerian automata. We conjecture that $(n^2-3)/2$ also forms an upper bound for this class and we experimentally verify it for small automata by an exhaustive computation. Comment: The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-662-53132-7_31 |
Databáze: | arXiv |
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