geokpath_centrality: Find the geodesic k-path centrality

In SNAnalyst/DF21: SNA functions and dataset for Data Forensics 2021-2022

Find the geodesic k-path centrality

Description

Geodesic K-path centrality counts the number of vertices that can be reached through a geodesic path of length less than "k".

Usage

geokpath_centrality(
  graph,
  vids = igraph::V(graph),
  mode = c("all", "out", "in"),
  weights = NULL,
  k = 3
)

Arguments

graph	The input graph as igraph object
vids	Numeric vertex sequence, the vertices that should be considered. Default is all vertices. Otherwise, the operation is performed on the subgraph only containing vertices vids.
mode	Character constant, gives whether the shortest paths to or from the given vertices should be calculated for directed graphs. If out then the shortest paths from the vertex, if in then to it will be considered. If all, the default, then the corresponding undirected graph will be used, ie. not directed paths are searched. This argument is ignored for undirected graphs.
weights	Possibly a numeric vector giving edge weights. If this is NULL, the default, and the graph has a weight edge attribute, then the attribute is used. If this is NA then no weights are used (even if the graph has a weight attribute).
k	The k parameter. The default is 3.

Details

This function counts the number of vertices that a specific vertex can reach within k steps. By default, this number is weighted (if the graph has a weight edge attribute). This can be overridden by setting the weights argument to NA (no weight is used) or to a vector with weights (typically this is a numeric edge attribute).

More detail at Geodesic K-Path Centrality

Value

A numeric vector contaning the centrality scores for the selected vertices.

Author(s)

Mahdi Jalili [e-mail] (adapted for this package)

References

Borgatti, Stephen P., and Martin G. Everett. "A graph-theoretic perspective on centrality." Social networks 28.4 (2006): 466-484.

Examples

g <- igraph::barabasi.game(100)
geokpath_centrality(g)

SNAnalyst/DF21 documentation built on March 21, 2022, 12:02 a.m.