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arXiv · 1311.1091

The power of 2 choices over preferential attachment

Yury Malyshkin·Elliot Paquette
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Abstract

We introduce a new type of preferential attachment tree that includes choices in its evolution, like with Achlioptas processes. At each step in the growth of the graph, a new vertex is introduced. Two possible neighbor vertices are selected independently and with probability proportional to degree. Between the two, the vertex with smaller degree is chosen, and a new edge is created. We determine with high probability the largest degree of this graph up to some additive error term.

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Yury Malyshkin, Elliot Paquette. 2014-02-15. The power of 2 choices over preferential attachment. https://arxiv.org/abs/1311.1091

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