Algebraic synchronization criterion and computing reset words
From MaRDI portal
Publication:2282077
DOI10.1016/j.ins.2016.07.049zbMath1428.68192arXiv1412.8363OpenAlexW1782076687MaRDI QIDQ2282077
Marek Szykuła, Mikhail V. Berlinkov
Publication date: 6 January 2020
Published in: Information Sciences, Mathematical Foundations of Computer Science 2015 (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.8363
Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Algebraic theory of languages and automata (68Q70) Prefix, length-variable, comma-free codes (94A45)
Related Items (17)
Strongly connected synchronizing automata and the language of minimal reset words ⋮ Unnamed Item ⋮ Some results concerning careful synchronization of partial automata and subset synchronization of DFA's ⋮ Synchronizing Automata with Extremal Properties ⋮ Synchronizing automata with coinciding cycles ⋮ Synchronizing sequences for road colored digraphs ⋮ New characterizations of primitive permutation groups with applications to synchronizing automata ⋮ Unnamed Item ⋮ Preimage problems for deterministic finite automata ⋮ Complexity of Preimage Problems for Deterministic Finite Automata ⋮ A bound for the length of the shortest reset words for semisimple synchronizing automata via the packing number ⋮ Algebraic synchronization criterion and computing reset words ⋮ Analytic methods for reachability problems ⋮ An Extremal Series of Eulerian Synchronizing Automata ⋮ Experiments with Synchronizing Automata ⋮ Černý's conjecture and the road colouring problem ⋮ Sync-maximal permutation groups equal primitive permutation groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Primitive digraphs with large exponents and slowly synchronizing automata
- The Černý conjecture for one-cluster automata with prime length cycle
- Shortest synchronizing strings for Huffman codes
- Synchronization
- An extremal problem for two families of sets
- Synchronizing finite automata on Eulerian digraphs.
- Approximating the minimum length of synchronizing words is hard
- Independent sets of words and the synchronization problem
- Černý's conjecture and the road colouring problem
- Algebraic synchronization criterion and computing reset words
- On the Probability of Being Synchronizable
- Experiments with Synchronizing Automata
- THE AVERAGING TRICK AND THE ČERNÝ CONJECTURE
- On Two Algorithmic Problems about Synchronizing Automata
- Strong Inapproximability of the Shortest Reset Word
- In extremal combinatorial problem associated with the bound on the length of a synchronizing word in an automaton
- Approximating Minimum Reset Sequences
- A QUADRATIC UPPER BOUND ON THE SIZE OF A SYNCHRONIZING WORD IN ONE-CLUSTER AUTOMATA
- Compact noncontraction semigroups of affine operators
- Reset Sequences for Monotonic Automata
- Synchronizing Automata and the Černý Conjecture
- Almost all complete binary prefix codes have a self-synchronizing string
- Slowly Synchronizing Automata and Digraphs
- The Complexity of Finding Reset Words in Finite Automata
- Shortest Synchronizing Strings for Huffman Codes
- A Quadratic Upper Bound on the Size of a Synchronizing Word in One-Cluster Automata
- On two Combinatorial Problems Arising from Automata Theory
- SYNCHRONIZING QUASI-EULERIAN AND QUASI-ONE-CLUSTER AUTOMATA
This page was built for publication: Algebraic synchronization criterion and computing reset words