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- W4205121033 abstract "Étant donné un tournoi T:=(S,A), une partie X de S est un intervalle de T lorsque, pour tous a,b∈X et x∈S−X, (a,x)∈A si et seulement si (b,x)∈A. Par exemple, ∅, {x}(x∈S) et S sont des intervalles de T, appelés intervalles triviaux. Un tournoi dont tous les intervalles sont triviaux est indécomposable ; sinon, il est décomposable. On dit qu'un tournoi T abrite un tournoi T′ si T′ est isomorphe à un sous-tournoi de T. Dans cet article, nous classifions les tounois indécomposables à partir des tournois indécomposables à six sommets qu'ils abritent. Given a tournament T=(V,A), a subset X of V is an interval of T provided that, for any a,b∈X and x∈V−X, (a,x)∈A if and only if (b,x)∈A. For example, ∅, {x}(x∈V) and V are intervals of T, called trivial intervals. A tournament, all the intervals of which are trivial, is indecomposable; otherwise, it is decomposable. We say that a tournament T′ embeds in a tournament T when T′ is isomorphic to a subtournament of T. In this article, we classify the indecomposable tournaments according to the indecomposable tournaments with six vertices embedding in T." @default.
- W4205121033 created "2022-01-26" @default.
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- W4205121033 date "2015-08-01" @default.
- W4205121033 modified "2023-09-27" @default.
- W4205121033 title "Tournois indécomposables et leurs sous-tournois indécomposables à six sommets" @default.
- W4205121033 doi "https://doi.org/10.1016/j.crma.2015.03.021" @default.
- W4205121033 hasPublicationYear "2015" @default.
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