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FIT2004 Algorithms and data structures - S1 2026
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Consider the undirected graph below and Prim's algorithm for computing a minimum spanning tree using node S as the source node. In which order are the edges added to the solution?
You are running the Kruskal's algorithm to obtain the minimum spanning tree of a connected, undirected, weighted graph with 10 vertices (ID-0 to ID-9). Given the following parent array state of the union-find data structure during the algorithm's run, which of the following statement(s) is true?
Consider the undirected graph below and Kruskal's algorithm for computing a minimum spanning tree. In which order are the edges added to the solution?
Consider the undirected graph below and Prim's algorithm for computing a minimum spanning tree using node S as the source node. In which order are the edges added to the solution?
You are running the Kruskal's algorithm to obtain the minimum spanning tree of a connected, undirected, weighted graph with 10 vertices (ID-0 to ID-9). Given the following parent array state of the union-find data structure during the algorithm's run, which of the following statement(s) is true?
Consider the undirected graph below and Kruskal's algorithm for computing a minimum spanning tree. In which order are the edges added to the solution?
Consider the undirected graph below and Prim's algorithm for computing a minimum spanning tree using node S as the source node. In which order are the edges added to the solution?
Given a graph-G that has |V| vertices and |E| edges, that is:
- Connected.
- Directed.
- Weighted
What is the worst case time complexity to run Breadth-First Search (BFS), if G is implemented using adjacency matrix?
Given a graph-G that has |V| vertices and |E| edges, that is:
- Connected.
- Directed.
- Weighted
What is the worst case time complexity to obtain all of the outgoing edges from the vertex with the highest number of outgoing edges, if G is implemented using adjacency matrix?
Given a graph-G that has |V| vertices and |E| edges, that is:
- Connected.
- Directed.
- Weighted
What is the worst case time complexity to obtain the total number of incoming edges into vertex-v, if G is implemented using adjacency matrix?