A simple priority-based shelling heuristic produces well balanced Schnyder woods in practice, and experiments suggest these improve Schnyder drawing quality and cycle separator size.
Discrete Mathematics 298, 104–114 (2005), https: //hal.archives-ouvertes.fr/hal-00307593
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Balanced Schnyder woods for planar triangulations: an experimental study with applications to graph drawing and graph separators
A simple priority-based shelling heuristic produces well balanced Schnyder woods in practice, and experiments suggest these improve Schnyder drawing quality and cycle separator size.