Prove that the problem of determining, given a graph g

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Prove that for each k > 3, the problem of determining, given a graph G, whether it has a valid k-coloring, is NP-hard.

Prove that the problem of determining, given a graph G, whether it has a careful 4-coloring is in P.

Prove that for each k ≥ 5, the problem of determining, given a graph G, whether it has a careful k-coloring, is NP-hard.

Reference no: EM133370940

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