title: Line graphs for a multiplex network.
abstract: It is well known that line graphs offer a good summary of the graphs properties, which make them easier to analyze and highlight the desired properties. We extend the concept of line graph to multiplex networks in order to analyze multi-plexed and multi-layered networked systems. As these structures are very rich, different approaches to this notion are required to capture a variety of situations. Some relationships between these approaches are established. Finally, by means of some simulations, the potential utility of this concept is illustrated.
authors.affiliation: Department of Applied Mathematics, Rey Juan Carlos University, Madrid, Spain.
authors.forename: Regino
authors.initials: R
authors.lastname: Criado
authors.affiliation: Department of Applied Mathematics, Rey Juan Carlos University, Madrid, Spain.
authors.forename: Julio
authors.initials: J
authors.lastname: Flores
authors.affiliation: Department of Applied Mathematics, Rey Juan Carlos University, Madrid, Spain.
authors.forename: Alejandro
authors.initials: A
authors.lastname: García Del Amo
authors.affiliation: Department of Applied Mathematics, Rey Juan Carlos University, Madrid, Spain.
authors.forename: Miguel
authors.initials: M
authors.lastname: Romance
authors.affiliation: Department of Statistics and Operations Research, University of Granada, Granada, Spain.
authors.forename: Eva
authors.initials: E
authors.lastname: Barrena
authors.affiliation: Department of Applied Mathematics II, University of Seville, Seville, Spain.
authors.forename: Juan A
authors.initials: JA
authors.lastname: Mesa