# Perturbation Centrality

#### Definition

Perturbation centrality is a measure of dynamic network centrality.

Perturbation centrality of node i was defined as the reciprocal of silencing time retrieved by using a Dirac delta type starting perturbation of 10*n units, where n is the number of nodes in the network, using a dissipation value of 1.

Silencing time of node i was the first time when all of the nodes had an energy value less than a pre-set minimal threshold after an initial perturbation started from node i.

Perturbation centrality of node i was defined as the reciprocal of silencing time retrieved by using a Dirac delta type starting perturbation of 10*n units, where n is the number of nodes in the network, using a dissipation value of 1.

Silencing time of node i was the first time when all of the nodes had an energy value less than a pre-set minimal threshold after an initial perturbation started from node i.

#### Software

- Turbine

http://turbine.linkgroup.hu/

#### References

- SZALAY, K. Z. & CSERMELY, P. 2013. Perturbation Centrality and Turbine: A Novel Centrality Measure Obtained Using a Versatile Network Dynamics Tool. PLoS ONE, 8, e78059. DOI: 10.1371/journal.pone.0078059