measure_centralisation_eigen: Measuring networks eigenvector-like centralisation

In netrics: Many Ways to Measure and Classify Membership for Networks, Nodes, and Ties

Measuring networks eigenvector-like centralisation

Description

• net_by_eigenvector() measures the eigenvector centralization for a network as a single score.

• mode_by_eigenvector() measures eigenvector centralization separately for each mode of a two-mode network (via projection to each mode), returning one score per mode (following Borgatti and Everett, 1997).

All measures attempt to use as much information as they are offered, including whether the networks are directed, weighted, or multimodal. If this would produce unintended results, first transform the salient properties using e.g. to_undirected() functions. All centrality and centralization measures return normalized measures by default, including for two-mode networks.

For two-mode networks the two modes have different theoretical maxima, so net_by_eigenvector() reports a single network-level score by applying Freeman's general centralization index over the normalized node eigenvector scores, whereas mode_by_eigenvector() reports the per-mode scores directly.

Usage

net_by_eigenvector(.data, normalized = TRUE)

mode_by_eigenvector(.data, normalized = TRUE)

Arguments

.data	A network object of class mnet, igraph, tbl_graph, network, or similar. For more information on the standard coercion possible, see manynet::as_tidygraph().
normalized	Logical scalar, whether scores are normalized. Different denominators may be used depending on the measure, whether the object is one-mode or two-mode, and other arguments. By default TRUE.

Value

net_by_eigenvector() returns a network_measure scalar; mode_by_eigenvector() returns a mode_measure numeric vector of length two, giving one centralization score per mode.

References

Borgatti, Stephen P., and Martin G. Everett. 1997. "Network analysis of 2-mode data." Social Networks 19(3): 243-269. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1016/S0378-8733(96)00301-2")}

See Also

Other eigenvector: measure_central_eigen, measure_centralities_eigen

Other centrality: measure_central_between, measure_central_close, measure_central_degree, measure_central_eigen, measure_centralisation_between, measure_centralisation_close, measure_centralisation_degree, measure_centralities_between, measure_centralities_close, measure_centralities_degree, measure_centralities_eigen

Examples

net_by_eigenvector(ison_southern_women)
mode_by_eigenvector(ison_southern_women)

netrics documentation built on July 24, 2026, 5:07 p.m.