27.1.1 - Mathematical Institute
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Practice Questions
Test your understanding with targeted questions
What algorithm is used to find the shortest path in a graph with non-negative weights?
💡 Hint: Think about algorithms for graph traversal.
What do you set the source vertex distance to at the beginning of Dijkstra's algorithm?
💡 Hint: It reflects the start point in terms of distance.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary function of Dijkstra's Algorithm?
💡 Hint: Focus on the word 'shortest' in pathfinding.
Dijkstra's Algorithm works best with which type of graph?
💡 Hint: Consider the assumptions of the algorithm.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a graph with vertices A, B, C, and D, with edges AB (1), AC (4), BD (3), and CD (2), apply Dijkstra's algorithm starting from A. What is the shortest path to D?
💡 Hint: Remember to track the distances and choose the least costly path at each step.
Consider a graph with a negative edge weight. Explain how this could alter the results of Dijkstra's algorithm and suggest an alternative algorithm that can handle such a case.
💡 Hint: Think about what happens when a vertex is burnt and how negative cycles can influence overall costs.
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