A QUADRATIC UPPER BOUND ON THE SIZE OF A SYNCHRONIZING WORD IN ONE-CLUSTER AUTOMATA
✍ Scribed by BÉAL, MARIE-PIERRE; BERLINKOV, MIKHAIL V.; PERRIN, DOMINIQUE
- Book ID
- 124159539
- Publisher
- World Scientific Publishing Company
- Year
- 2011
- Tongue
- English
- Weight
- 249 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0129-0541
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📜 SIMILAR VOLUMES
## Abstract A graph is point determining if distinct vertices have distinct neighborhoods. The nucleus of a point‐determining graph is the set __G__^O^ of all vertices, __v__, such that __G__–__v__ is point determining. In this paper we show that the size, ω(__G__), of a maximum clique in __G__ sat
## Abstract We produce in this paper an upper bound for the number of vertices existing in a clique of maximum cardinal. The proof is based in particular on the existence of a maximum cardinal clique that contains no vertex __x__ such that the neighborhood of __x__ is contained in the neighborhood