imp.closeness {streamDAG}

Improved Closeness Centrality

Description

Calculates improved closeness centrality of individual nodes in a DAG.

Usage

imp.closeness(G)

Arguments

G

Graph object of class "igraph", see See graph_from_literal.

Details

Improved closeness centrality (Beauchamp, 1965) was developed for weakly connected or disconnected digraphs. The measure is based on the reciprocal of nodal shortest path distances from the jth node to the kth node, 1/\delta_{j,k}. For the jth node this is:

H_j=(n-1) \sum_{j \neq k} 1/\delta_{j,k}

where, for disconnected nodes, the reciprocal distance 1/\infty is taken to be zero.

Value

Improved closeness centrality of a node

Author(s)

Ken Aho, Gabor Csardi wrote distances

References

Beauchamp, M. A. (1965). An improved index of centrality. Behavioral Science, 10(2), 161-163.

See Also

distances

Examples

network_a <- graph_from_literal(a --+ b, c --+ d, d --+ e, b --+ e, 
e --+ j, j --+ m, f --+ g, g --+ i, h --+ i, i --+ k, k --+ l, 
l --+ m, m --+ n,  n --+ o)
imp.closeness(network_a)