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Size and connectivity of the $$k$$-core of a random graph. (English) Zbl 0752.05046
The $$k$$-core of a graph is the maximal subgraph with no degree below $$k$$. Asymptotic estimates are given of the size and connectivity of the $$k$$- core of a Bernoulli graph.

##### MSC:
 05C80 Random graphs (graph-theoretic aspects) 05C40 Connectivity
##### Keywords:
connectivity; random graph
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##### References:
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