Signal emitter in graph of nodes

Question

In a graph of nodes, all nodes are connected to n other nodes. Periodically a random node emits a pulse, that propagates from node to node, and decreases in strength with n^steps. Is the frequency with which a node receives a pulse at a given strength such that at steps = 0 and steps = i, each node will receive an equivalent amount of "power"?

Answer 1

From a distance of k to a distance of k+1, the amount in the pulse decreases with n times. The number of people reached increases with n times. That shows that the probability of receiving a pulse at a distance of k+1 increases with the same factor that the amount decreases.