CGAL 5.3.2 - Surface Mesh Topology
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Vincent Despré and Francis Lazarus. Computing the geometric intersection number of curves. J. ACM, 66(6), November 2019.

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Jeff Erickson and Kim Whittelsey. Transforming curves on surfaces redux. In 24rd Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), pages 1646–1655, 2013.

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Francis Lazarus and Julien Rivaud. On the homotopy test on surfaces. In 53rd Annual IEEE Symposium on Foundations of Computer Science (FOCS), pages 440–449, 2012.