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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What defines a shortest path in a graph?
💡 Hint: Think about the weights of the edges.
Question 2
Easy
Can a shortest path have repeating vertices?
💡 Hint: Consider the effect of looping back.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the maximum number of edges in a shortest path across n vertices?
- n
- n-1
- n+1
💡 Hint: Consider how many unique vertices could be traversed without revisiting.
Question 2
True or False: A shortest path can revisit vertices if there's a negative edge.
- True
- False
💡 Hint: Think about the impact of a loop on the path total.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Design a graph that contains a negative cycle. Explain how the Bellman-Ford algorithm might respond.
💡 Hint: Make sure to set the edge weights purposely so that the total is negative when summed.
Question 2
Given a set of edges, apply the Bellman-Ford algorithm to find the shortest path from the source vertex to all others and illustrate your steps.
💡 Hint: Count iterations carefully! Remember, you will need n-1 runs through the edge list.
Challenge and get performance evaluation