In the documentation of PlanarEmbedding is written that directions are ignored. But the example is a not symmetric graph and the resulting planar embedding is also for an asymmetric graph since otherwise there should be a 5 at the 7th position, so this does not fit together.
Changing the direction of the edge by just having the edge [11,5] and not both directions (D := Digraph([[3, 5, 10], [8, 9, 10], [1, 4], [3, 6], [1, 7], [4, 7], [6, 8], [2, 7], [2, 11], [1, 2], [5, 9]]);) results in the planar embedding [ [ 3, 10, 5 ], [ 10, 8, 9 ], [ 4, 1 ], [ 6, 3 ], [ 1, 11, 7 ], [ 7, 4 ], [ ], [ 7, 2 ], [ 2, 11 ], [ 1, 2 ], [ 9, 5 ] ] which does not fit the directions of D as it contains the edge [5,11] but is still not a planar embedding of D where the orientations are ignored since the entry of 7 is empty.
In the documentation of
PlanarEmbeddingis written that directions are ignored. But the example is a not symmetric graph and the resulting planar embedding is also for an asymmetric graph since otherwise there should be a 5 at the 7th position, so this does not fit together.Changing the direction of the edge by just having the edge
[11,5]and not both directions (D := Digraph([[3, 5, 10], [8, 9, 10], [1, 4], [3, 6], [1, 7], [4, 7], [6, 8], [2, 7], [2, 11], [1, 2], [5, 9]]);) results in the planar embedding[ [ 3, 10, 5 ], [ 10, 8, 9 ], [ 4, 1 ], [ 6, 3 ], [ 1, 11, 7 ], [ 7, 4 ], [ ], [ 7, 2 ], [ 2, 11 ], [ 1, 2 ], [ 9, 5 ] ]which does not fit the directions ofDas it contains the edge[5,11]but is still not a planar embedding ofDwhere the orientations are ignored since the entry of 7 is empty.