1.2 - Characteristics of Shortest Paths
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Practice Questions
Test your understanding with targeted questions
What characterizes the paths in a weighted graph?
💡 Hint: Think about how weights can change the journey.
What happens to the shortest path if there is a negative cycle in the graph?
💡 Hint: Consider how negative weights might play into the path calculation.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main goal of the Floyd-Warshall algorithm?
💡 Hint: Think about what the algorithm calculates across all vertices.
True or False: The Bellman-Ford algorithm can handle negative weights.
💡 Hint: Consider how each of these algorithms is affected by negative weights.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a graph with vertices A, B, C, and D with edge weights defined as follows: A-B (4), A-C (1), B-D (1), C-D (2), calculate the shortest path length using the Floyd-Warshall algorithm.
💡 Hint: Draw out the matrix and visualize the longest paths in each step for clarification.
Explain in detail how the algorithm adapts when it finds a negative edge weight, specifically in implementation.
💡 Hint: Reflect on how the algorithm’s rules enforce checks for conditions in path optimizations.
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