igraph (version 1.3.5)

centr_degree_tmax: Theoretical maximum for degree centralization

Description

See centralize for a summary of graph centralization.

Usage

centr_degree_tmax(
  graph = NULL,
  nodes = 0,
  mode = c("all", "out", "in", "total"),
  loops = FALSE
)

Value

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

Arguments

graph

The input graph. It can also be NULL, if nodes, mode and loops are all given.

nodes

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

mode

This is the same as the mode argument of degree.

loops

Logical scalar, whether to consider loops edges when calculating the degree. Currently the default value is FALSE, but this argument will be required from igraph 1.4.0.

See Also

Other centralization related: centr_betw_tmax(), centr_betw(), centr_clo_tmax(), centr_clo(), centr_degree(), centr_eigen_tmax(), centr_eigen(), centralize()

Examples

# A BA graph is quite centralized
g <- sample_pa(1000, m = 4)
centr_degree(g, normalized = FALSE)$centralization %>%
 `/`(centr_degree_tmax(g, loops = FALSE))
centr_degree(g, normalized = TRUE)$centralization