rel.sys: Relational System of Network

In multiplex: Algebraic Tools for the Analysis of Multiple Social Networks

Relational System of Network

Description

Function to create a Relational System of a multiple network.

Usage

rel.sys(x, type = c("tolist", "toarray"), bonds = c("entire", "strong", "weak", 
        "asym", "recp", "txch", "tent", "mixd", "full"), loops = FALSE, 
        sel = NULL, att = NULL, sep)

Arguments

x	Array with three dimensions of stacked matrices with generating relations.
type	Is the transformation about: tolist (Array of) matrices into lists of pairwise relations. toarray Lists of pairwise relations into (array of) matrices.
bonds	the type of bonds to be used in the creation of the relational system entire The “entire” network (default, same as full) strong Strong bonds weak Weak bonds asym Asymmetric ties recp Reciprocal ties txch Tie exchange bundles tent Tie entrainment bundles mixd Mixed bundles full Whole network (same as entire)
loops	(optional and logical) Include loops in relational system.
sel	(optional) Vector with set of actors to select.
att	(optional) Arrays in x corresponding to attributes.
sep	(optional) Pair separator for pairwise relations.

Details

A relational system of network x is a configuration with a particular pattern like the bond type among members. For instance, when the type of bonds chosen is entire then the nodes with ties are considered in the relational system without isolated nodes. Besides, strong bonds are relational bundles with a mutual character, whereas weak bonds are those patterns exclusively without mutual character.

It is also possible to select the network members having or *not* having the attribute that is specified in the Attrs output by using in argument sel. This is possible when choosing from a list with actor attributes.

Value

For type = "tolist" (default) option, an object of ‘Rel.System’ class where items are:

ord	order of network relational system
nodes	nodes in relational system
sel	selected set of actors
sys.ord	order of relational system with chosen bond type
incl	nodes included relational system with chosen bond type
excl	nodes excluded relational system with chosen bond type
bond.type	type of bonds used in relational system creation
size	number of ties in relational system
Note	(if needed) a note
sep	pairwise separator of relational system
Ties	ties in relational system
Attrs.ord	if att is not NULL, number of nodes with chosen attribute(s)
Attrs	if att is not NULL, actors with chosen attribute(s)

For type = "toarray", the output is a two or three dimensional dichotomous array recording the relations among the actors in the network.

References

Ostoic, J.A.R. “Creating context for social influence processes in multiplex networks.” Network Science, 5(1), 1-29.

See Also

expos, bundles, neighb

Examples

# create two binary relations among three elements
arr <- round( replace( array( runif(18), c(3 ,3, 2) ), array( runif(18),
       c(3, 3, 2) ) > .9, 3 ) )

# establish system of strong bonds
arr |> rel.sys(bonds = "strong")

# first array is for attributes
arr |> rel.sys(att = 1)

# select first node
arr |> rel.sys(sel = 1)

multiplex documentation built on July 30, 2026, 5:13 p.m.