Manhattan-Geodesic Embedding of Planar Graphs

  title={Manhattan-Geodesic Embedding of Planar Graphs},
  author={Bastian Katz and Marcus Krug and Ignaz Rutter and Alexander Wolff},
  booktitle={Graph Drawing},
In this paper, we explore a new convention for drawing graphs, the (Manhattan-) geodesic drawing convention. It requires that edges are drawn as interior-disjoint monotone chains of axis-parallel line segments, that is, as geodesics with respect to the Manhattan metric. First, we show that geodesic embeddability on the grid is equivalent to 1-bend embeddability on the grid. For the latter question an efficient algorithm has been proposed. Second, we consider geodesic point-set embeddability… CONTINUE READING
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