Practice Kruskal's Algorithm Process (5.2) - Kruskal's Algorithm - Design & Analysis of Algorithms - Vol 2

Practice: Kruskal's Algorithm Process

Lesson 5.2Kruskal's Algorithm

Practise this section

10 questions

Flashcard drill
4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the first step in Kruskal's algorithm?
Show hintHide hint
Think about what prepares the algorithm for adding edges.
Question 2.
What does Kruskal's algorithm do if adding an edge forms a cycle?
Show hintHide hint
Consider the rules about cycles in graph theory.
3Question 3.
What does Kruskal's algorithm primarily focus on?
- Finding the maximum spanning tree
- Finding the minimum spanning tree
- Finding all paths in a graph
Show hintHide hint
Think about the tree characteristics.
4Question 4.
True or False: Kruskal's algorithm adds edges in descending order of weight.
- True
- False
Show hintHide hint
Revisit the process of how values are arranged in the algorithm.
Question 5.
Given a graph with vertices A, B, C, and edges AB (10), AC (15), BC (5), outline the steps Kruskal's algorithm would take to find the MST.
Show hintHide hint
Sort first and then methodically check each edge for cycles.
Question 6.
Demonstrate how Kruskal’s algorithm can be optimized using path compression and union by rank in the union-find data structure.
Show hintHide hint
Focus on how these techniques streamline the component merging process.

6 more questions in this section. Enroll free to practise them all.