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arXiv 2016-01-25 0 views

From survival to extinction of the contact process by the removal of a single edge

Szabó, Réka · Valesin, Daniel

Original · EN

We give a construction of a tree in which the contact process with any positive infection rate survives but, if a certain privileged edge e* is removed, one obtains two subtrees in which the contact process with infection rate smaller than 1/4 dies out.

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