Kruskal's Algorithm (Edexcel A-Level Further Mathematics): Quizzes

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Kruskal's Algorithm
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What does Kruskal's algorithm find in a connected, weighted graph?

A minimum spanning tree

In which order should edges be sorted in Kruskal's algorithm?

Ascending order of weights

How many edges are in the MST for a graph with vv vertices?

v−1v-1 edges

What should the MST be initialised with at the start of Kruskal's algorithm?

An empty set of edges

Which method is used to check for cycles in Kruskal's algorithm?

Disjoint sets (union-find)

What is the time complexity of sorting edges in Kruskal's algorithm?

O(elog⁡e)O(e \log e)

What is the space complexity of union-find structures in Kruskal's algorithm?

O(v)O(v)

For what type of graph does Kruskal's algorithm work?

Connected graphs only

When is an MST unique in Kruskal's algorithm?

When edge weights are distinct

When should you stop adding edges in Kruskal's algorithm?

After v−1v-1 edges are included

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