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The study of probability distributions over graphs. For example, the Erdős–Rényi model where each edge occurs independently with equal probability.

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Issue UPDATE: in graph theory, different definitions of edge crossing numbers - impact on ap...

$\DeclareMathOperator\cr{cr}\DeclareMathOperator\pcr{pcr}$For the pair crossing number $\pcr(G)$, the short answer is yes the crossing lemma holds for drawings on the sphere, but it is not known wheth …
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29 votes

Issue UPDATE: in graph theory, different definitions of edge crossing numbers - impact on ap...

@user161819 I wanted to make a comment but it got too long, so putting it as an answer. But please take it just as a comment for later, once everything is finished: If I understand your comment to my …
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