Ten small towns T1, T2, . . . , T10 have decided to apply for a channel for an FM radio

Chapter 14, Problem 10

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Ten small towns T1, T2, . . . , T10 have decided to apply for a channel for an FM radio station. Suppose that two radio stations cannot broadcast on the same channel if the distance between them is 75 miles or less. The distances between various pairs of towns are given below. The distance is not given in the table if this distance exceeds 75 miles. What is the minimum number of channels that can be assigned to the ten radio stations.

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