Strength

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Strength

This metric is not implemented in any version. You can report this as a Bug.


The Strength sums the weight of all edges which a certain node is connected with. It can be applied in directed and undirected networks.

Objective

This measure can give first insights on how stable the relations of a node in the network are. It is also called weighted node degree. Further examples can be taken from Barrat et. al. 2004[1].

Calculation

This calculation is the absolute sum of all edges weights for a node extracted from the adjacency matrix. The adapted calculation from Barrat et. al. 2004[1] is as follows:

s_i= \sum^N_{j=1} a_{ij}w_{ij} with wij as intensity of the relation between two nodes i and j, and aij as adjacency matrix of the information space.


Statement

R example
g <- graph.star(10)

E(g)$weight <- seq(ecount(g))
graph.strength(g)
graph.strength(g, mode="out")
graph.strength(g, mode="in")

Reference

Retrieved from "http://www.sonivis.org/wiki/index.php/Strength"
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