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← Logic & PuzzlesA university registrar is scheduling final exams in classrooms to avoid conflicts; which algorithm minimizes the number of time slots needed, assuming graph coloring represents classroom availability?
A)Depth-First Search algorithm
B)Breadth-First Search algorithm
C)Dijkstra's Shortest Path algorithm
D)Greedy Graph Coloring algorithm✓
💡 Explanation
The Greedy Graph Coloring algorithm sequentially assigns the 'smallest' available color (time slot) to each vertex (exam) in a graph; because this reduces time slot conflicts, the registrar can schedule exams efficiently. Therefore, the Greedy Graph Coloring algorithm minimizes the required time slots, rather than DFS/BFS for traversal or Dijkstra's for shortest paths.
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