What are the appropriate data structures for following algorithms?1) B...
1) Breadth First Search uses Queue
2) Depth First Search uses Stack
3) Prim's Minimum Spanning Tree uses Priority Queue.
4) Kruskal' Minimum Spanning Tree uses Union Find.
What are the appropriate data structures for following algorithms?1) B...
Breadth First Search (BFS):
- BFS explores all the vertices of a graph in breadth-first order, i.e., it visits all the vertices at the same level before moving to the next level.
- The appropriate data structure for BFS is a Queue because it follows the First-In-First-Out (FIFO) order, which is required to visit vertices at the same level before moving to the next level.
Depth First Search (DFS):
- DFS explores all the vertices of a graph in depth-first order, i.e., it visits a vertex and then recursively explores all its adjacent vertices before backtracking.
- The appropriate data structure for DFS is a Stack because it follows the Last-In-First-Out (LIFO) order, which is required for backtracking in DFS.
Prim's Minimum Spanning Tree:
- Prim's algorithm finds the minimum spanning tree of a weighted graph, starting from an arbitrary vertex.
- The appropriate data structure for Prim's algorithm is a Priority Queue because it allows us to select the minimum weight edge efficiently at each step of the algorithm.
Kruskal's Minimum Spanning Tree:
- Kruskal's algorithm finds the minimum spanning tree of a weighted graph by repeatedly adding the minimum weight edges that do not form a cycle.
- The appropriate data structure for Kruskal's algorithm is a Union Find (Disjoint Set) data structure because it efficiently checks for the presence of cycles while adding edges to the spanning tree.
Based on the above explanations, the appropriate data structures for the given algorithms are as follows:
1) Breadth First Search: Queue
2) Depth First Search: Stack
3) Prim's Minimum Spanning Tree: Priority Queue
4) Kruskal's Minimum Spanning Tree: Union Find
Therefore, the correct answer is option 'B':
1) Queue
2) Stack
3) Priority Queue
4) Union Find