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Computer Networks Homework # 1

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Computer Networks Homework # 1
Define the geodesic (short path) distance between two nodes as the
minimum number of hops from one node to the other. Define the
diameter of a network as the maximum geodesic distance among all the
pairs of two nodes. Define the degree of a node as the number of links
connected to that node.
1. If the diameter of a network with 100 nodes is 1, what is the
minimum number of links in this network?

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Computer Networks Homework # 1
Define the geodesic (short path) distance between two nodes as the
minimum number of hops from one node to the other. Define the
diameter of a network as the maximum geodesic distance among all the
pairs of two nodes. Define the degree of a node as the number of links
connected to that node.
1. If the diameter of a network with 100 nodes is 1, what is the
minimum number of links in this network?
2. If the diameter of a network with 100 nodes is 2, what is the
minimum number of links in this network?
3. For a network of 100 nodes, if the degree of every node is at most
2, what is the minimum diameter of that network?
4. For a network of 100 nodes, if the degree of every node is at most
3, is it possible that the diameter of this network is not greater
than 5?