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Bridge profiles of a node across layers

Source: R/find_bridge_layers.R
find_bridge_layers.Rd

Identifies which layers contribute most to the interlayer bridge role of a given node, by decomposing its interlayer connectivity into layer-specific contributions. The function is designed as an interpretative companion to the interlayer node-level indices returned by multimixMN(), providing the components underlying the corresponding overall interlayer indices.

Interlayer connectivity is summarized using four complementary profiles: interlayer strength, interlayer expected influence (order 1), interlayer closeness, and interlayer betweenness.

Usage

find_bridge_layers(fit, node, layer)

Arguments

fit

An object of class multimixMN_fit.

node

Character scalar: node of interest.

layer

Character scalar giving the layer of the focal node.

Value

An object of class "bridge_layer_profiles" (a named list) with the following components:

bridge_strength

List with overall and by_layer, where by_layer is a tibble with columns target_layer and sum_abs_w.

bridge_ei1

List with overall and by_layer, where by_layer is a tibble with columns target_layer and sum_signed_w.

bridge_closeness

List with overall and by_layer, where by_layer is a tibble with columns target_layer and contribution.

bridge_betweenness

List with overall and by_pair, where by_pair is a tibble with columns Li, Lj, and contribution.

Details

The function operates on the interlayer-only graph, i.e. on the graph containing only edges between nodes belonging to different layers.

For a focal node in the selected layer, the function decomposes:

  • interlayer strength into contributions toward each layer;

  • interlayer expected influence (order 1) into signed contributions toward each layer;

  • interlayer closeness into additive harmonic-distance contributions toward each layer;

  • interlayer betweenness into additive contributions from shortest paths between layer pairs, using the standard fraction \(\sigma_{st}(v) / \sigma_{st}\).

Contributions are defined so that they sum to the corresponding overall interlayer index.