Influence of the seed in affine preferential attachment trees

  title={Influence of the seed in affine preferential attachment trees},
  author={David Marchand and Ioan Manolescu},
  journal={arXiv: Probability},
We study randomly growing trees governed by the affine preferential attachment rule. Starting with a seed tree $S$, vertices are attached one by one, each linked by an edge to a random vertex of the current tree, chosen with a probability proportional to an affine function of its degree. This yields a one-parameter family of preferential attachment trees $(T_n^S)_{n\geq|S|}$, of which the linear model is a particular case. Depending on the choice of the parameter, the power-laws governing the… Expand
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