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arXiv · 0709.1787

Dismantling sparse random graphs

Svante Janson·Andrew Thomason
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Abstract

We consider the number of vertices that must be removed from a graph G in order that the remaining subgraph has no component with more than k vertices. Our principal observation is that, if G is a sparse random graph or a random regular graph on n vertices with n tending to infinity, then the number in question is essentially the same for all values of k such that k tends to infinity but k=o(n).

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Svante Janson, Andrew Thomason. 2007-09-12. Dismantling sparse random graphs. https://arxiv.org/abs/0709.1787

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