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FIT2004 Algorithms and data structures - S2 2026

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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?

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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?

graph

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A binary search tree holding nn keys, built by inserting the keys so that the tree stays balanced, has height of order:
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A code has 88 positions, and each position is filled independently by one of 22 symbols (repetition allowed). How many different codes are possible?
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Using the convention that height is the number of edges on the longest root-to-leaf path: a perfect binary tree of height 22 has how many LEAF nodes?
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Using the convention that height is the number of edges on the longest root-to-leaf path: how many nodes in total does a perfect binary tree of height 55 contain?
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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?

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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?

0%
0%
0%
❌
✅
✅
0%
0%
View this question

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?

graph

View this question

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?

graph

View this question

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