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migraph (version 0.12.1)

closure: Measures of network closure

Description

These functions offer methods for summarising the closure in configurations in one-, two-, and three-mode networks.

Usage

network_reciprocity(object, method = "default")

network_transitivity(object)

network_equivalency(object)

network_congruency(object, object2)

Arguments

object

A one-mode or two-mode matrix, igraph, or tidygraph

method

For reciprocity, either default or ratio. See ?igraph::reciprocity

object2

Optionally, a second (two-mode) matrix, igraph, or tidygraph

Functions

  • network_reciprocity(): Calculate reciprocity in a (usually directed) network

  • network_transitivity(): Calculate transitivity in a network

  • network_equivalency(): Calculate equivalence or reinforcement in a (usually two-mode) network

  • network_congruency(): Calculate congruency across two two-mode networks

Details

For one-mode networks, shallow wrappers of igraph versions exist via network_reciprocity and network_transitivity.

For two-mode networks, network_equivalency calculates the proportion of three-paths in the network that are closed by fourth tie to establish a "shared four-cycle" structure.

For three-mode networks, network_congruency calculates the proportion of three-paths spanning two two-mode networks that are closed by a fourth tie to establish a "congruent four-cycle" structure.

References

Robins, Garry L, and Malcolm Alexander. 2004. Small worlds among interlocking directors: Network structure and distance in bipartite graphs. Computational & Mathematical Organization Theory 10(1): 69–94. tools:::Rd_expr_doi("10.1023/B:CMOT.0000032580.12184.c0").

Knoke, David, Mario Diani, James Hollway, and Dimitris C Christopoulos. 2021. Multimodal Political Networks. Cambridge University Press. Cambridge University Press. tools:::Rd_expr_doi("10.1017/9781108985000")

See Also

Other measures: centralisation, centrality, cohesion(), diversity, features, holes, tie_centrality

Examples

Run this code
network_reciprocity(ison_southern_women)
network_transitivity(ison_southern_women)
network_equivalency(ison_southern_women)

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