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← Logic & PuzzlesWhich effect results when a system exceeds the chromatic number bound in graph coloring?
A)Color assignment always avoids conflict
B)Minimal coloring uses fewer colors
C)Adjacent vertices share a color✓
D)Optimal coloring is always achievable
💡 Explanation
Adjacent vertices sharing a color results from exceeding the chromatic number bound because the Pigeonhole Principle forces at least two connected nodes to have the same color; therefore, a valid coloring is not achieved, rather than avoiding conflict.
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