Dilution of Ferromagnets via a Random Graph-Based Strategy

Figure 3

Pictorial representation of a continuous dilution process, via ER-L, achieved in two different ways: on the left, without any control (i.e., ), and on the right with maximum control (i.e., ). The arrow indicates the direction of the process, starting from the top with a complete graph, to the bottom with nonconnected nodes. Along the dilution path, the related graphs achieved by the different strategies previously described are shown. In the controlled case, the graph is split in two communities for and are connected for . Different colors indicate different spin values (e.g., blue and red ).