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Dec 27, 2021 at 18:12 comment added Stef "If the neighbors of each vertex are listed in counterclockwise order, this defines an embedding on a surface, and if this information was obtained from a given planar embedding, this is the one you get back. " Could you provide a reference to support that claim?
Oct 30, 2014 at 11:50 comment added Brendan McKay Actually you need 3-vertex-connected in general. If there is a cut of one or two vertices you can turn over the graph on one side if it.
Oct 29, 2014 at 15:47 history edited Klaus Draeger CC BY-SA 3.0
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Oct 29, 2014 at 13:41 history answered Klaus Draeger CC BY-SA 3.0