sparsify.with.quadrilateral {backbone}

Extract Nocaj et al.'s (2015) Quadrilateral Simmelian backbone

Description

sparsify.with.quadrilateral is a wrapper for sparsify() that extracts the quadrilateral Simmelian backbone described by Nocaj et al. (2015). It is equivalent to sparsify(escore = "quadrilateral embeddedness", normalize = "embeddedness", filter = "threshold", umst = TRUE).

Usage

sparsify.with.quadrilateral(U, s, class = "original", narrative = FALSE)

Arguments

U

An unweighted unipartite graph, as: (1) an adjacency matrix in the form of a matrix or sparse Matrix; (2) an edgelist in the form of a two-column dataframe; (3) an igraph object.

s

numeric: Sparsification exponent, 0 < s < 1; larger values yield sparser graphs

class

string: the class of the returned backbone graph, one of c("original", "matrix", "Matrix", "igraph", "edgelist"). If "original", the backbone graph returned is of the same class as U.

narrative

boolean: TRUE if suggested text & citations should be displayed.

Value

An unweighted, undirected, unipartite graph of class class.

References

package: Neal, Z. P. (2022). backbone: An R Package to Extract Network Backbones. PLOS ONE, 17, e0269137. doi:10.1371/journal.pone.0269137

model: Nocaj, A., Ortmann, M., & Brandes, U. (2015). Untangling the hairballs of multi-centered, small-world online social media networks. Journal of Graph Algorithms and Applications, 19, 595-618. doi:10.7155/jgaa.00370

Examples

U <- igraph::sample_sbm(60, matrix(c(.75,.25,.25,.25,.75,.25,.25,.25,.75),3,3), c(20,20,20))
plot(U) #A hairball
sparse <- sparsify.with.quadrilateral(U, s = 0.5, narrative = TRUE)
plot(sparse) #Clearly visible communities in a connected graph