Figure 3: Contagion initialized with cluster seeding.
From: Topological data analysis of contagion maps for examining spreading processes on networks
A WTM contagion on a noisy ring lattice in which each node has d(G)=4 geometric edges and d(NG)=1 non-geometric edge. We initialize the contagion at time t=0 by setting node s and its network neighbours as infected (indicated by the light-blue nodes and edges). This results in two contagion clusters: C1 and C2. At time t=1, depending on the WTM thresholds {Ti}, additional nodes can adopt the contagion either via WFP and/or via ANC. As indicated by the orange nodes and edges, nodes that are in the ‘boundary’ of C1 can adopt the contagion via WFP travelling around the underlying ring lattice. We illustrate this idea further in the magnifying box, where nodes a and b in the boundary of C1 can potentially become infected in the first time step. Alternatively, nodes that share only a non-geometric edge with a contagion seed can potentially become infected via ANC (as indicated by the dark-blue nodes and dashed edges).
