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

network_reciprocity(object, method = "default")

node_reciprocity(object)

network_transitivity(object)

node_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

## 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.

## Functions

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

• node_reciprocity(): Calculate nodes' reciprocity

• network_transitivity(): Calculate transitivity in a network

• node_transitivity(): Calculate nodes' transitivity

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

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

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

## Examples

network_reciprocity(ison_southern_women)
#>  1
node_reciprocity(to_unweighted(ison_networkers))
#>   LIN FREEMAN DOUG W…¹ EV RO…² RICHA…³ PHIPP…⁴ CAROL…⁵ GARY …⁶ RUSS …⁷ JOHN …⁸
#> 1         0.935     0.75       1   0.944   0.286     0.8       1     0.8   0.818
#> # ... with 23 more from this nodeset in the vector.