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Chromatic Polynomial of Disconnected Graphs (a) (2 points) Prove that the chromatic polynomial of a disjoint graph is the the product of the polynomials of

Chromatic Polynomial of Disconnected Graphs

(a) (2 points) Prove that the chromatic polynomial of a disjoint graph is the the product of the polynomials of components.

(b) (3 points) If G has r connected components, what is the coefficient of k^r1 in the chromatic polynomial? Justify your answer.

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