New characterizations of primitive permutation groups with applications to synchronizing automata
From MaRDI portal
Publication:6186315
DOI10.1016/j.ic.2023.105086MaRDI QIDQ6186315
Publication date: 2 February 2024
Published in: Information and Computation (Search for Journal in Brave)
primitive permutation groupssynchronizationfinite automatastate complexityset of synchronizing wordscompletely reachable automatapairs of distinguishable subsets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Primitive groups synchronize non-uniform maps of extreme ranks
- Sets of nonnegative matrices without positive products
- The road coloring problem
- On primitivity of sets of matrices
- Equivalence of topological Markov shifts
- Generalized primitivity of labeled digraphs
- Černý's conjecture and the road colouring problem
- Sync-maximal permutation groups equal primitive permutation groups
- Cerny's conjecture for automata with simple idempotents
- Primitive permutation groups and strongly factorizable transformation semigroups
- Completely reachable automata, primitive groups and the state complexity of the set of synchronizing words
- State complexity of the set of synchronizing words for circular automata and automata over binary alphabets
- Constrained synchronization and commutativity
- Algebraic synchronization criterion and computing reset words
- Primitivity, uniform minimality, and state complexity of Boolean operations
- A new proof of the Protasov-Voynov theorem on semigroups of nonnegative matrices
- Between primitive and 2-transitive: synchronization and its friends
- Synchronizing groups and automata
- Transitivity of finite permutation groups on unordered sets
- Intersection matrices for finite permutation groups
- 4-homogeneous groups
- Automorphism groups of designs
- \(k\)-homogeneous groups
- A brief history of the classification of the finite simple groups
- A NOTE ON SYNCHRONIZED AUTOMATA AND ROAD COLORING PROBLEM
- Primitive Sets of Nonnegative Matrices and Synchronizing Automata
- Linear Automaton Transformations
- A Note on Two Set-Transitive Permutation Groups
- Reset Complexity of Ideal Languages Over a Binary Alphabet
- Set-Transitive Permutation Groups
- The Synchronizing Probability Function for Primitive Sets of Matrices
- Estimation of the length of reset words for automata with simple idempotents
- The classification of partition homogeneous groups with applications to semigroup theory
- Completely distinguishable automata and the set of synchronizing words
- Completely Reachable Automata: An Interplay Between Automata, Graphs, and Trees
This page was built for publication: New characterizations of primitive permutation groups with applications to synchronizing automata