Mesh networks:

a. usually provide relatively long routes through the network (compared to ring networks)
b. require more processing by each computer in the network than in star or ring networks
c. do not use decentralized routing
d. do not have much capacity wasted by network status information
e. do not have many possible routes through the network to prevent one circuit from becoming overloaded

Your boss wants you to configure his laptop so that he can access the company network when he is on the road. you suggest a vpn connection to him. he is very concerned about security and asks you how secure vpn is. what do you tell him?

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.\

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