wiener_index_centrality function

Wiener Index Centrality

This function computes the Wiener Index Centrality for nodes in a network. The Wiener index is a measure of centrality that computes the sum of all shortest paths between a node and all other related nodes in the graph. In essence, it is similar to closeness centrality, but without taking the reciprocal, resulting in a measure with the opposite meaning.

wiener_index_centrality(
  x,
  vids = V(x),
  mode = c("all", "out", "in"),
  weights = NULL
)

Arguments

• x: An igraph or a network object.
• vids: Nodes to be considered in the calculation.
• mode: A character value indicating whether the shortest paths "in" or "out" of the nodes in directed graphs should be considered. For undirected graphs, "all" is used.
• weights: Numeric vector indicating weights of the edges.

Returns

A numeric vector including the centrality values for each node. The centrality values represent the Wiener Index Centrality measure for each node in the network.

Examples

data(zachary)

wiener_index_centrality(zachary)

References

Scardoni, G. and Carlo Laudanna, C.B.M.C. (2011). Network centralities for Cytoscape. University of Verona.

Author(s)

Minoo Ashtiani, Mehdi Mirzaie, Mohieddin Jafari