Our network estimation algorithm is essentially a modified JGN algorithm. To estimate the unknown infection network from the incidence data, we note that all newly-infected individuals must have been infected by individuals that were infected one time step back, as shown in Figure 1 . For the epidemic shown in Figure 1 , the incidences are {9}, {5, 12}, {4, 6, 10, 11, 13}, {3, 8} at time steps t = 0, 1, 2, 3 respectively. Suppose some of these incidences were censored, and we ended up with the censored incidences {9}, {5}, {4, 11, 13}, {8} at time steps t = 0, 1, 2, 3 respectively. Based on these censored incidences, we then draw a tentative link between nodes 9 and 5, because the infection of node 9 precedes the infection of node 5. We then draw tentative links between the pairs (5, 4), (5, 11) , (5, 13) because the infection of node 5 precedes the infection of nodes 4, 11, 13. Finally, we draw a tentative link between the pairs (4, 8) , (11, 8) , (13, 8) , because the infection of nodes 4, 11, 13 precedes the infection of node 8.