PDF-2HANSPARSHALLWecanaugmentProposition3toobtainacrossingnumberinequality
64jVj2ProofLet0p1bearbitraryLetV0Vbearandomsubsetwitheachv2VchosenindependentlyanduniformlywithprobabilitypLetE0EbethesetofedgesconnectingpairsofverticesinV0andsetG0G0V0E0Theprobabilityt
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