On triangle meshes with valence dominant vertices

Abstract
We study triangulations defined on a closed disc satisfying the following condition: In the interior of , the valence of all vertices of except one of them (the irregular vertex) is . By using a flat singular Riemannian metric adapted to , we prove a uniqueness theorem when the valence of the irregular vertex is not a multiple of . Moreover, for a given integer , we exhibit non isomorphic triangulations on with the same boundary, and with a unique irregular vertex whose valence is .

Publisher
arXiv

arXiv
1802.05851

Additional Links
http://arxiv.org/abs/1802.05851v1http://arxiv.org/pdf/1802.05851v1

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