Toroidal Maps: Schnyder Woods, Orthogonal Surfaces and Straight-Line Representations

Author:

Gonçalves Daniel,Lévêque Benjamin

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference26 articles.

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2. Bonichon, N., Gavoille, C., Hanusse, N., Ilcinkas, D.: Connections between Theta-graphs, Delaunay triangulations, and orthogonal surfaces. In: Proceeding WG’10 Proceedings of the 36th International Conference on Graph-Theoretic Concepts in Computer Science, pp. 266–278. Springer, Berlin (2010)

3. Castelli Aleardi, L., Fusy, E., Lewiner, T.: Schnyder woods for higher genus triangulated surfaces, with applications to encoding. Discrete Comput. Geom. 42, 489–516 (2009)

4. Castelli Aleardi, L., Fusy, E.: Canonical ordering for triangulations on the cylinder, with applications to periodic straight-line drawings. In: Proceeding GD’12 Proceedings of the 20th International Conference on Graph Drawing, pp. 376–387. Springer, Berlin (2012)

5. Chambers, E., Eppstein, D., Goodrich, M., Löffler, M.: Drawing graphs in the plane with a prescribed outer face and polynomial area. Lect. Notes Comput. Sci. 6502, 129–140 (2011)

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1. A bijection for essentially 3-connected toroidal maps;European Journal of Combinatorics;2021-06

2. Orientations and bijections for toroidal maps with prescribed face-degrees and essential girth;Journal of Combinatorial Theory, Series A;2020-10

3. Balanced Schnyder Woods for Planar Triangulations: An Experimental Study with Applications to Graph Drawing and Graph Separators;Lecture Notes in Computer Science;2019

4. Encoding Toroidal Triangulations;Discrete & Computational Geometry;2016-10-26

5. Orienting Triangulations;Journal of Graph Theory;2015-12-02

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