This problem is about query flooding in P2P networks. Here, we explore the reverse-path routing of the QueryHit messages in Gnutella. Suppose that Alice issues a Query message. Furthermore, suppose that Bob receives the Query message (which may have been forwarded by several intermediate peers) and has a file that matches the query. 5.1. As we know when a peer has a matching file, it sends a QueryHit message along the reverse path of the corresponding Query message. An alternative design would be for Bob to establish a direct TCP connection with Alice and send the QueryHit message over this connection. What are the advantages and disadvantages of such an alternative design?

The idea that, for each pair of devices v and w, there’s a strict dichotomy between being “in range” or “out of range” is a simplified abstraction. more accurately, there’s a power decay function f (·) that specifies, for a pair of devices at distance δ, the signal strength f(δ) that they’ll be able to achieve on their wireless connection. (we’ll assume that f (δ) decreases with increasing δ.) we might want to build this into our notion of back-up sets as follows: among the k devices in the back-up set of v, there should be at least one that can be reached with very high signal strength, at least one other that can be reached with moderately high signal strength, and so forth. more concretely, we have values p1 ≥ p2 ≥ . . ≥ pk, so that if the back-up set for v consists of devices at distances d1≤d2≤≤dk,thenweshouldhavef(dj)≥pj foreachj. give an algorithm that determines whether it is possible to choose a back-up set for each device subject to this more detailed condition, still requiring that no device should appear in the back-up set of more than b other devices. again, the algorithm should output the back-up sets themselves, provided they can be found.\