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6 votes
2 answers
717 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 ...
W. Paul Liu's user avatar
0 votes
0 answers
133 views

is there an example in planar graph that using probabilistic methods

The probabilistic method is a technique for proving the existence of an object with certain properties by showing that a random object chosen from an appropriate probability distribution has the ...
Licheng Zhang's user avatar