centiserve (version 1.0.0)

clusterrank: Find the ClusterRank ranks in a graph

Description

Mathematically, the ClusterRank score \(s_{i}\) of node \(i\) is defined as: $$s_{i} = f(c_{i})\sum_{j\in \tau _{i}}(k_{out}^{j}+1)$$ where the term f(c_i) accounts for the effect of i's local clustering and the term '+1' results from the contribution of \(j\) itself. Here \(f(c_{i}) = 10^{-c_{i}}\)

Usage

clusterrank(graph, vids = V(graph), directed = TRUE, loops = TRUE)

Arguments

graph

The input graph as igraph object

vids

Vertex sequence, the vertices for which the centrality values are returned. Default is all vertices.

directed

Logical scalar, whether to directed graph is analyzed. This argument is ignored for undirected graphs.

loops

Logical; whether the loop edges are also counted.

Value

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

Details

ClusterRank is a local ranking algorithm which takes into account not only the number of neighbors and the neighbors' influences, but also the clustering coefficient. ClusterRank can also be applied to undirected networks where the superiority of ClusterRank is significant compared with degree centrality and k-core decomposition. More detail at ClusterRank

References

Chen, Duan-Bing, et al. "Identifying influential nodes in large-scale directed networks: the role of clustering." PloS one 8.10 (2013): e77455.

Examples

# NOT RUN {
g <- graph(c(1,2,2,3,3,4,4,2,2,5,5,3,4,1,4,3,1,6,6,3,3,6,2,6,5,6))
clusterrank(g)
# }