The distinguishing number of the direct product and wreath product action.
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Publication:2509195
DOI10.1007/s10801-006-0006-7zbMath1113.20002arXivmath/0601414OpenAlexW2012186425MaRDI QIDQ2509195
Publication date: 18 October 2006
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0601414
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Extensions, wreath products, and other compositions of groups (20E22) Symmetric groups (20B30)
Related Items (14)
Base sizes of imprimitive linear groups and orbits of general linear groups on spanning tuples ⋮ Equitable distinguishing chromatic number ⋮ Extending precolorings to distinguish group actions ⋮ Bases of twisted wreath products ⋮ The distinguishing number and distinguishing index of the lexicographic product of two graphs ⋮ Distinguishing number of hierarchical products of graphs ⋮ On distinguishing labelling of sets under the wreath product action ⋮ The distinguishing number of Cartesian products of complete graphs ⋮ Automorphisms and distinguishing numbers of geometric cliques ⋮ The distinguishing number of the augmented cube and hypercube powers ⋮ The distinguishing chromatic number of Cartesian products of two complete graphs ⋮ On the local distinguishing chromatic number ⋮ Bounding the distinguishing number of infinite graphs and permutation groups ⋮ The distinguishing number of quasiprimitive and semiprimitive groups
Cites Work
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- The composition of graphs
- Automorphism groups of wreath product digraphs
- The distinguishing number of the hypercube
- Distinguishing numbers for graphs and groups
- Symmetry breaking in graphs
- The distinguishing number of the augmented cube and hypercube powers
- The maximum distinguishing number of a group
- The lexicographic product of graphs
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