Question: Hint for the text book problems for this discrete math MIT Information Services & Technology (IS&T) wants to assemble a cluster of n computers using

Hint for the text book problems for this discrete math

MIT Information Services & Technology (IS&T) wants to assemble a cluster of n computers using wires and hubs. Each computer must have exactly one wire attached to it, while each hub can have up to five wires attached. There must be a path of wires between every pair of computers in the cluster.

a.Prove by induction that (n 2)/3 hubs are sufficient for IS&T to assemble the cluster of n computers.

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