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The runtime complexity of Kruskal's algorithm for finding the Minimum Spanning Tree is:OptionsO(V log V)O(V^2) O(E^2)O(E log E)

Question

The runtime complexity of Kruskal's algorithm for finding the Minimum Spanning Tree is:OptionsO(V log V)O(V^2) O(E^2)O(E log E)
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Solution 1

The runtime complexity of Kruskal's algorithm for finding the Minimum Spanning Tree is O(E log E).

Here's why:

  1. Sorting of edges takes O(E log E) time. In Kruskal's algorithm, the first step is to sort all the edges from low weight to high.

  2. After sorting, we iterate through every edge and a Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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