title: Generalization of the Peierls-Griffiths theorem for the Ising model on graphs.
abstract: We present a sufficient condition for the presence of spontaneous magnetization for the Ising model on a general graph, related to its long-range topology. Applying this condition we are able to prove the existence of a phase transition at temperature T>0 on a wide class of general networks. The possibility of further extensions of our results is discussed.
authors.affiliation: Dipartimento di Fisica, Università di Parma, Viale Usberti 7/A, 43100 Parma, Italy. riccardo.campari@fis.unipr.it
authors.forename: Riccardo
authors.initials: R
authors.lastname: Campari
authors.forename: Davide
authors.initials: D
authors.lastname: Cassi