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Let G be a disconnected simple graph. Prove that the chromatic polynomial P_G(k) of G is the product of the chromatic polynomials of the components
Let G be a disconnected simple graph. Prove that the chromatic polynomial P_G(k) of G is the product of the chromatic polynomials of the components of G. What can you say about the degree of the lowest non-vanishing term of P_G(k)
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