(Solution) - Consider a packet switching network of N nodes connected by the -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Consider a packet-switching network of N nodes, connected by the following topologies:
a. Star: One central node with no attached station; all other nodes attach to the central node.
b. Loop: Each node connects to two other nodes to form a closed loop.
c. Fully connected: Each node is directly connected to all other nodes.
For each case, give the average number of hops between stations.