Fig. 1

a An example of the type of network used in the toy-example calculation for the repeated-usage model, with a complete N-graph for the “core” and N people in the periphery. b An example of the type of network used in the toy-example calculation for the threshold model, with N people each in core, intermediate, and periphery layers. The dark blue line connecting the core indicates that it is a complete N-graph. c Bounds on asymptotic adoption fractions under two seeding strategies in the repeated-usage model. Computations are for a network of the type shown in panel a, but with N=50. d Average steady-state adoption fractions under two seeding strategies in the threshold model. Computations are for a network of the type shown in panel b, but with N=50