Let Γ be a finite connected G-vertex-transitive graph and let v be a vertex of Γ. If the permutation group induced by the action of the vertex-stabiliser G v on the neighbourhood Γ(v) is permutation isomorphic to L, then (Γ,G) is said to be locally L. A permutation group L is graph-restrictive if there exists a constant c(L) such that, for every locally L pair (Γ,G) and a vertex v of Γ, the inequality |G v |≤c(L) holds. We show that an intransitive group is graph-restrictive if and only if it is semiregular. © 2013 Springer Science+Business Media New York.
Spiga, P., & Verret, G. (2014). On intransitive graph-restrictive permutation groups. JOURNAL OF ALGEBRAIC COMBINATORICS, 40(1), 179-185 [10.1007/s10801-013-0482-5].
Citazione: | Spiga, P., & Verret, G. (2014). On intransitive graph-restrictive permutation groups. JOURNAL OF ALGEBRAIC COMBINATORICS, 40(1), 179-185 [10.1007/s10801-013-0482-5]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | Si | |
Titolo: | On intransitive graph-restrictive permutation groups | |
Autori: | Spiga, P; Verret, G | |
Autori: | SPIGA, PABLO (Primo) | |
Data di pubblicazione: | 2014 | |
Lingua: | English | |
Rivista: | JOURNAL OF ALGEBRAIC COMBINATORICS | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s10801-013-0482-5 | |
Appare nelle tipologie: | 01 - Articolo su rivista |
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