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PDF-2HANSPARSHALLWecanaugmentProposition3toobtainacrossingnumberinequality PDF document

64jVj2ProofLet0p1bearbitraryLetV0Vbearandomsubsetwitheachv2VchosenindependentlyanduniformlywithprobabilitypLetE0EbethesetofedgesconnectingpairsofverticesinV0andsetG0G0V0E0Theprobabilityt

64jVj2:Proof.Let0p1bearbitrary.LetV0Vbearandomsubset witheachv2Vchosenindependentlyanduniformlywithprobabilityp.LetE0EbethesetofedgesconnectingpairsofverticesinV0 andsetG0=G0(V0;E0).Theprobabilityt

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2HANSPARSHALLWecanaugmentProposition3toobtainacrossingnumberinequality: Transcript

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