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Non-convergence of proportions of types in a preferential attachment graph with three co-existing types

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 نشر من قبل John Haslegrave
 تاريخ النشر 2018
  مجال البحث
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We consider the preferential attachment model with multiple vertex types introduced by Antunovic, Mossel and Racz. We give an example with three types, based on the game of rock-paper-scissors, where the proportions of vertices of the different types almost surely do not converge to a limit, giving a counterexample to a conjecture of Antunovic, Mossel and Racz. We also consider another family of examples where we show that the conjecture does hold.



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