The number of connection paths to the person who died, and therefore the average number of connections via which you find out about their deaths, is basically just proportional to the square regardless of overlaps. In a “small world” you might find out about the same person’s death more than once via these connections, but the number of people you directly associate with who have someone close to them die is the same as in a “large world” so I don’t think degree of overlap matters much.
I do agree that the impact of deaths decreases with the indirectness of the connections. I was only commenting on the numbers in the example.
The number of connection paths to the person who died, and therefore the average number of connections via which you find out about their deaths, is basically just proportional to the square regardless of overlaps. In a “small world” you might find out about the same person’s death more than once via these connections, but the number of people you directly associate with who have someone close to them die is the same as in a “large world” so I don’t think degree of overlap matters much.
I do agree that the impact of deaths decreases with the indirectness of the connections. I was only commenting on the numbers in the example.