On self-approaching and increasing-chord drawings of 3-connected planar graphs

@inproceedings{Nllenburg2016OnSA,
  title={On self-approaching and increasing-chord drawings of 3-connected planar graphs},
  author={Martin N{\"o}llenburg and Roman Prutkin and Ignaz Rutter},
  booktitle={J. Comput. Geom.},
  year={2016}
}
An st-path in a drawing of a graph is self-approaching if during a traversal of the corresponding curve from s to any point t' on the curve the distance to t' is non-increasing. A path has increasing chords if it is self-approaching in both directions. A drawing is self-approaching increasing-chord if any pair of vertices is connected by a self-approaching increasing-chord path. We study self-approaching and increasing-chord drawings of triangulations and 3-connected planar graphs. We show… 
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