Multiple percolation transitions in three interconnected networks

Abstract

The way in which complex networks behave has brought out very interesting properties. With its study, simple models have been developed to isolate these new phenomena, opening up, in turn, many possibilities. The following work aims to extend the double percolation found in the special coupling of two networks. The first step is to investigate the case of three interconnected networks. The structure chosen to be studied is the Erd¨os-R´enyi. Afterwards, to simulate the bond percolation, I have applied the Newman-Ziff algorithm. We observed that multiple percolation transitions can occur, finding the emergence of a new discontinuous phase transition to consider