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← Logic & PuzzlesWhich outcome results when a greedy graph coloring algorithm attempts to color a complex map with districts sharing intricate borders under conditions requiring minimal color use?
A)Guaranteed optimal color assignment
B)Reversed edge direction problems arise
C)Algorithm halts prematurely during execution
D)Color count may exceed chromatic number✓
💡 Explanation
The greedy graph coloring algorithm assigns colors sequentially without backtracking; because it lacks global optimization, the algorithm may use more colors than the theoretical minimum chromatic number. Therefore, the resulting color count may exceed the optimal chromatic number, rather than guaranteeing optimality, because local decisions do not always yield the best global solution.
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