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    Graph Coloring Problem

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    Please use words to describe the solution process:
    Let G be a graph with n vertices that is not a complete graph. Prove that x (G) < n
    HINT: If G does not contain k3 as a subgraph, then every face must have degree at least 4.

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    Solution Summary

    A graph colouring problem is solved and the solution is discussed. The solution is well presented.