dc.contributor.author Morvan, Jean-Marie dc.date.accessioned 2018-02-27T09:00:12Z dc.date.available 2018-02-27T09:00:12Z dc.date.issued 2018-02-16 dc.identifier.uri http://hdl.handle.net/10754/627199 dc.description.abstract We study triangulations $\cal T$ defined on a closed disc $X$ satisfying the following condition: In the interior of $X$, the valence of all vertices of $\cal T$ except one of them (the irregular vertex) is $6$. By using a flat singular Riemannian metric adapted to $\cal T$, we prove a uniqueness theorem when the valence of the irregular vertex is not a multiple of $6$. Moreover, for a given integer $k >1$, we exhibit non isomorphic triangulations on $X$ with the same boundary, and with a unique irregular vertex whose valence is $6k$. dc.publisher arXiv dc.relation.url http://arxiv.org/abs/1802.05851v1 dc.relation.url http://arxiv.org/pdf/1802.05851v1 dc.rights Archived with thanks to arXiv dc.title On triangle meshes with valence dominant vertices dc.type Preprint dc.contributor.department Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division dc.eprint.version Pre-print dc.contributor.institution Universite de Lyon, CNRS UMR 5208, Universite Claude Bernard Lyon 1, Institut Camille Jordan, 43 blvd du 11 Novembre 1918, F-69622 Villeurbanne-Cedex, France dc.identifier.arxivid 1802.05851 kaust.person Morvan, Jean-Marie refterms.dateFOA 2018-06-14T03:52:17Z
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