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On percolation in random graphs with given vertex degrees
[article]
2008
arXiv
pre-print
We study the random graph obtained by random deletion of vertices or edges from a random graph with given vertex degrees. A simple trick of exploding vertices instead of deleting them, enables us to derive results from known results for random graphs with given vertex degrees. This is used to study existence of giant component and existence of k-core. As a variation of the latter, we study also bootstrap percolation in random regular graphs. We obtain both simple new proofs of known results and
arXiv:0804.1656v1
fatcat:3q7l343tkvbyff4t2lussksyi4