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graphs that can be embedded into the plane, i.e. that can be drawn without crossings between the lines representing edges.

6 votes
2 answers
674 views

Threshold function for a graph not being planar

A graph property $\mathcal{P}$ is monotone increasing if $G\in \mathcal{P}$ implies $G+e \in \mathcal{P}$, i.e., adding an edge to a graph does not destroy the property. It is well-known that every mo …
W. Paul Liu's user avatar