Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/102723
Title: | On the Interplay between Aerný and Babai's Conjectures |
Authors: | Gonze, F. Gusev, V. V. Jungers, R. M. Gerencsér, B. Volkov, M. V. |
Issue Date: | 2019 |
Publisher: | World Scientific Publishing Co. Pte Ltd |
Citation: | On the Interplay between Aerný and Babai's Conjectures / F. Gonze, V. V. Gusev, R. M. Jungers, et al. — DOI 10.1142/S0129054119400057 // International Journal of Foundations of Computer Science. — 2019. — Vol. 30. — Iss. 1. — P. 93-114. |
Abstract: | Motivated by the Babai conjecture and the Aerný conjecture, we study the reset thresholds of automata with the transition monoid equal to the full monoid of transformations of the state set. For automata with n states in this class, we prove that the reset threshold is upper-bounded by 2n2 - 6n + 5 and can attain the value n(n-1) 2. In addition, we study diameters of the pair digraphs of permutation automata and construct n-state permutation automata with diameter n2 4 + o(n2). © 2019 World Scientific Publishing Company. |
Keywords: | AERNÝ'S CONJECTURE BABAI'S CONJECTURE PERMUTATION AUTOMATA SYNCHRONIZING AUTOMATA |
URI: | http://elar.urfu.ru/handle/10995/102723 |
Access: | info:eu-repo/semantics/openAccess |
SCOPUS ID: | 85062518493 |
PURE ID: | 9168414 5007193c-d33f-48b4-af6f-73389f2f68c7 |
ISSN: | 1290541 |
DOI: | 10.1142/S0129054119400057 |
Appears in Collections: | Научные публикации, проиндексированные в SCOPUS и WoS CC |
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