# centr_eigen

0th

Percentile

##### Centralize a graph according to the eigenvector centrality of vertices

See centralize for a summary of graph centralization.

##### Usage
centr_eigen(graph, directed = FALSE, scale = TRUE,
options = arpack_defaults, normalized = TRUE)
##### Arguments
graph
The input graph.
directed
logical scalar, whether to use directed shortest paths for calculating eigenvector centrality.
scale
Whether to rescale the eigenvector centrality scores, such that the maximum score is one.
options
This is passed to eigen_centrality, the options for the ARPACK eigensolver.
normalized
Logical scalar. Whether to normalize the graph level centrality score by dividing by the theoretical maximum.
##### Value

• A named list with the following components:
• vectorThe node-level centrality scores.
• valueThe corresponding eigenvalue.
• optionsARPACK options, see the return value of eigen_centrality for details.
• centralizationThe graph level centrality index.
• theoretical_maxThe same as above, the theoretical maximum centralization score for a graph with the same number of vertices.

##### See Also

Other centralization related: centr_betw_tmax, centralization.betweenness.tmax; centr_betw, centralization.betweenness; centr_clo_tmax, centralization.closeness.tmax; centr_clo, centralization.closeness; centr_degree_tmax, centralization.degree.tmax; centr_degree, centralization.degree; centr_eigen_tmax, centralization.evcent.tmax; centralization, centralize, centralize.scores

##### Aliases
• centr_eigen
• centralization.evcent
##### Examples
# A BA graph is quite centralized
g <- sample_pa(1000, m = 4)
centr_degree(g)$centralization centr_clo(g, mode = "all")$centralization
centr_betw(g, directed = FALSE)$centralization centr_eigen(g, directed = FALSE)$centralization

# The most centralized graph according to eigenvector centrality
g0 <- make_graph(c(2,1), n = 10, dir = FALSE)
g1 <- make_star(10, mode = "undirected")
centr_eigen(g0)$centralization centr_eigen(g1)$centralization
Documentation reproduced from package igraph, version 1.0.0, License: GPL (>= 2)

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