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

Réka Szabó; Daniel Valesin

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arXiv · 1601.06564

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

Réka Szabó·Daniel Valesin

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Abstract

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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Réka Szabó, Daniel Valesin. 2016-01-25. From survival to extinction of the contact process by the removal of a single edge. https://arxiv.org/abs/1601.06564

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