## Electronic Communications in Probability

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

#### 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.

#### Article information

Source
Electron. Commun. Probab., Volume 21 (2016), paper no. 54, 8 pp.

Dates
Accepted: 19 July 2016
First available in Project Euclid: 25 August 2016

https://projecteuclid.org/euclid.ecp/1472144932

Digital Object Identifier
doi:10.1214/16-ECP11

Mathematical Reviews number (MathSciNet)
MR3548766

Zentralblatt MATH identifier
1348.82058

Subjects

#### Citation

Szabó, Réka; Valesin, Daniel. From survival to extinction of the contact process by the removal of a single edge. Electron. Commun. Probab. 21 (2016), paper no. 54, 8 pp. doi:10.1214/16-ECP11. https://projecteuclid.org/euclid.ecp/1472144932

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