title: Optimal search strategies on complex multi-linked networks.
abstract: In this paper we consider the problem of optimal search strategies on multi-linked networks, i.e. graphs whose nodes are endowed with several independent sets of links. We focus preliminarily on agents randomly hopping along the links of a graph, with the additional possibility of performing non-local hops to randomly chosen nodes with a given probability. We show that an optimal combination of the two jump rules exists that maximises the efficiency of target search, the optimum reflecting the topology of the network. We then generalize our results to multi-linked networks with an arbitrary number of mutually interfering link sets.
authors.affiliation: 1] Università degli Studi di Firenze, Dipartimento di Fisica e Astronomia and CSDC, via G. Sansone 1, 50019 Sesto Fiorentino, Firenze, Italia [2] INFN, Sezione di Firenze, Italia.
authors.forename: Francesca
authors.initials: F
authors.lastname: Di Patti
authors.affiliation: 1] Università degli Studi di Firenze, Dipartimento di Fisica e Astronomia and CSDC, via G. Sansone 1, 50019 Sesto Fiorentino, Firenze, Italia [2] INFN, Sezione di Firenze, Italia.
authors.forename: Duccio
authors.initials: D
authors.lastname: Fanelli
authors.affiliation: Université d'Orléans, Centre de Biophysique Moléculaire, CNRS-UPR4301, Rue C. Sadron, 45071, Orléans, France.
authors.forename: Francesco
authors.initials: F
authors.lastname: Piazza