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Mathematics, 29.09.2019 03:30 youngaidan21

Suppose there are six people - j, m, r, s, t and w - who pass rumours among themselves. each day j talks with m and w; m talks with j, r and s; r talks with m, s and t; s talks with m, r, t and w; t talks with r, s and w; w talks with j, s and t. whatever people hear one day they pass on to others the next day.

(a) model this rumour passing situation with a graph.

(b) how many days does it take to pass a rumour from j to s ? who will tell it to s ?

(c) is there any way that if two people stopped talking to each other, then it must take three days to pass a rumour from one person to all the others ?

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