• Corpus ID: 119307029

On triangle meshes with valence dominant vertices

  title={On triangle meshes with valence dominant vertices},
  author={Jean-Marie Morvan},
  journal={arXiv: Differential Geometry},
  • J. Morvan
  • Published 16 February 2018
  • Mathematics
  • arXiv: Differential Geometry
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… 

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Thuwal 23955-6900, Saudi Arabia E-mail address : morvan@math.univ-lyon1