swan_closeness function

Impact on closeness when a node is removed

swan_closeness measures the change in the sum of the inverse of distances between all node pairs when excluding that node.#'

swan_closeness(g)

Arguments

• g: An igraph object representing the graph to analyze.

Returns

A numeric vector containing the swan_closeness values for all vertices.

Details

swan_closeness measures the impact of a node's removal by computing the change in the sum of inverse distances between all node pairs.

The code is an adaptation from the NetSwan package that was archived on CRAN.

Examples

library(igraph)
# Example graph (electrical network structure)
elec <- matrix(ncol = 2, byrow = TRUE, c(
  11,1, 11,10, 1,2, 2,3, 2,9,
  3,4, 3,8, 4,5, 5,6, 5,7,
  6,7, 7,8, 8,9, 9,10
))
gra <- graph_from_edgelist(elec, directed = FALSE)

# Compute swan_closeness
f2 <- swan_closeness(gra)

# Compare with betweenness centrality
bet <- betweenness(gra)
reg <- lm(bet ~ f2)
summary(reg)

References

Lhomme S. (2015). Analyse spatiale de la structure des réseaux techniques dans un contexte de risques. Cybergeo: European Journal of Geography.