# centr_eigen_tmax

##### Theoretical maximum for betweenness centralization

See `centralize`

for a summary of graph centralization.

##### Usage

```
centr_eigen_tmax(graph = NULL, nodes = 0, directed = FALSE,
scale = TRUE)
```

##### Arguments

- graph
The input graph. It can also be

`NULL`

, if`nodes`

is given.- nodes
The number of vertices. This is ignored if the graph is given.

- directed
logical scalar, whether to use directed shortest paths for calculating betweenness.

- scale
Whether to rescale the eigenvector centrality scores, such that the maximum score is one.

##### Value

Real scalar, the theoratical maximum (unnormalized) graph betweenness centrality score for graphs with given order and other parameters.

##### 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`

,
`centralization.evcent`

;
`centralization`

, `centralize`

,
`centralize.scores`

##### Examples

```
# NOT RUN {
# A BA graph is quite centralized
g <- sample_pa(1000, m = 4)
centr_eigen(g, normalized = FALSE)$centralization %>%
`/`(centr_eigen_tmax(g))
centr_eigen(g, normalized = TRUE)$centralization
# }
```

*Documentation reproduced from package igraph, version 1.0.1, License: GPL (>= 2)*