Compute the shortest paths to all network nodes, Data Structure & Algorithms

(i)  Consider a system using flooding with hop counter. Suppose that the hop counter is originally set to the "diameter" (number of hops in the longest path without traversing any node twice) of the network. When the hop count reaches zero, the packet is discarded except at its destination.

Does this always ensure that a packet will reach its destination if there at least one functioning path (to the destination) that may exist? Why or why not? 

[Assume that a packet will not be dropped unless its hop count goes to zero]

(ii)  Consider the network shown in Figure 2. Using Dijkstra's algorithm, and showing your work using tables,

a)  Compute the shortest paths from A to all network nodes.

b)  Compute the shortest paths from B to all network nodes.

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