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A coin graph consists of non-overlapping identical coins on a table surface, such that two coins are adjacent if and only if they touch each

A coin graph consists of non-overlapping identical coins on a table surface, such that two coins are adjacent if and only if they touch each other. (a) Prove that any coin graph can be colored into 4 colors (b) Give an example of coin graph that requires 4 colors (i.e. is not 3-colorable)

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