25.1.11 - Challenges with Arbitrary Graphs
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Practice Questions
Test your understanding with targeted questions
Define a Directed Acyclic Graph (DAG).
💡 Hint: Think about the property of cycles in graphs.
What does topological sorting achieve?
💡 Hint: Consider how tasks might depend on one another.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary characteristic of a Directed Acyclic Graph?
💡 Hint: Recall the definition of a DAG.
Is it NP-hard to find the longest path in arbitrary graphs?
💡 Hint: Think about the implications of cycles.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given a directed acyclic graph of 5 vertices and the following edges: (1,2), (1,3), (2,4), (3,4), (4,5). Calculate the longest path and describe how you computed it.
💡 Hint: Draw the graph to visualize all potential paths.
An arbitrary graph includes cycles: If a vertex connects back to itself multiple times, how would you begin to analyze the longest path?
💡 Hint: Think about how to handle vertices that lead back to previous nodes.
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