Indegree Centrality

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Indegree Centrality

This metric is implemented in every version.



The Indegree Centrality is the normalized number of direct neighbors that build incoming edges.

Objective

The Indegree Centrality can be used to evaluate the position of a single node in an directed network. The direct incoming connections of a node are standardized on the network size. The number of these direct incoming connections is characterized as [Indegree |indegree]] of a node.

Calculation

C_{D}(n_i)=\frac{d_{I}(n_i)}{g-1} , where d_{I}(n_i)\,\! is the indegree of a node n_i\,\! and g\,\! the number of all nodes in the network.

Statement

R-example
library(igraph)
g <- graph.ring(10, directed=TRUE)
degree(g, mode = c("in"))/(length(V(g))-1)

Reference

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