− | We would expect that this process spreads the rumor throughout a considerable fraction of the network. Note however that if we have a strong [[Clustering coefficient|local clustering]] around a node, what can happen is that many nodes become spreaders and have neighbors who are spreaders. Then, every time we pick one of those, they will recover and can extinguish the rumor spread. On the other hand, if we have a network that is [[Small-world network|small world]], that is, a network in which the shortest path between two randomly chosen nodes is much smaller than that one would expect, we can expect the rumor spread far away. | + | We would expect that this process spreads the rumor throughout a considerable fraction of the network. Note however that if we have a strong [[Clustering coefficient|local clustering]] around a node, what can happen is that many nodes become spreaders and have neighbors who are spreaders. Then, every time we pick one of those, they will recover and can extinguish the rumor spread. On the other hand, if we have a network that is [[Small-world Network|Small World]], that is, a network in which the shortest path between two randomly chosen nodes is much smaller than that one would expect, we can expect the rumor spread far away. |