This is about general properties of adversaries.

(a) Describe an infinite injection pattern of a window adversary of type (1/2 , 2) which is simultaneously of type (1/4 , 4) but is not of type (1/8 , 8).

(b) Is any window adversary of type (ρ, w) also of type (ρ, 2w)? Is any window adversary of type (ρ, 2w) also of type (ρ, w)?

(c) Which among the following two adversaries is more bursty, in terms of the maximum number of packets injected in a round that have to traverse the same edge:

i. Two window adversaries: one is of type (1/3 , 15) and the other of type ( 1/4 , 20).

ii. Two leaky-bucket adversaries, one is of type (1/3 , 15) and the other of type ( 1/4 , 20).

iii. Both are of the type denoted (1/2 , 10) but one is a window one, which means that 10 is the window’s size, while the other is a leaky-bucket one, which means that 10 is the burstiness component.