The common structure of the curves having a same Gauss word
Résumé
Gauss words are finite sequences of letters associated with self-intersec-ting closed curves in the plane. (These curves have no "triple" self-intersection). These sequences encode the order of intersections on the curves. We characterize, up to homeomorphism, all curves having a given Gauss word. We extend this characterization to the n-tuples of closed curves having a given n-tuple of words, that we call a Gauss multiword . These words encode the self-intersections of the curves and their pairwise intersections. Our characterization uses a canonical decomposition of strongly connected graphs, called the atomic decomposition, that we have defined and studied in a previous article.
Domaines
Logique en informatique [cs.LO]
Origine : Fichiers produits par l'(les) auteur(s)
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