IGraphM
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IGLayoutTutte too slow
IGLayoutTutte
should be faster.
Example:
mg = IGMeshGraph@BoundaryDiscretizeRegion[Ball[], MaxCellMeasure -> 0.001];
In[118]:= IGLayoutTutte[mg]; // AbsoluteTiming
Out[118]= {21.0373, Null}
In[119]:= GraphEmbedding[mg, "TutteEmbedding"]; // AbsoluteTiming
Out[119]= {6.64426, Null}