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Families of curves on surfaces

✍ Scribed by Augusto Nobile

Publisher: Springer-Verlag
Year: 1984
Tongue: French
Weight: 947 KB
Volume: 187
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf01174181

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We describe an optimal algorithm to decide if one closed curve on a triangulated 2-manifold can be continuously transformed to another, i.e., if they are homotopic. Suppose C 1 and C 2 are two closed curves on a surface M of genus g. Further, suppose T is a triangulation of M of size n such that C 1