English

Algebraic analysis of multiple social networks with multiplex

Social and Information Networks 2022-01-31 v2 Combinatorics

Abstract

\pkg{multiplex} is a computer program that provides algebraic tools for the analysis of multiple network structures within the \proglang{R} environment. Apart from the possibility to create and manipulate multivariate data representing multiplex, signed, and two-mode networks, this package offers a collection of functions that deal with algebraic systems ---such as the partially ordered semigroup, and balance or cluster semirings--- their decomposition, and the enumeration of bundle patterns occurring at different levels of the network. Moreover, through Galois derivations between families of the pairs of subsets in different domains it is possible to analyze affiliation networks with an algebraic approach. Visualization of multigraphs, different forms of bipartite graphs, inclusion lattices, Cayley graphs is supported as well with related packages.

Keywords

Cite

@article{arxiv.1911.13037,
  title  = {Algebraic analysis of multiple social networks with multiplex},
  author = {J Antonio Rivero Ostoic},
  journal= {arXiv preprint arXiv:1911.13037},
  year   = {2022}
}

Comments

Accepted manuscript at the Journal of Statistical Software with 8 figures in 39 pages. v2 with typo corrections

R2 v1 2026-06-23T12:30:51.557Z