25.1.3 - Example with Courses and Prerequisites
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Practice Questions
Test your understanding with targeted questions
Define a Directed Acyclic Graph (DAG).
💡 Hint: Think about paths that don't loop back.
What does topological sorting achieve?
💡 Hint: Consider the impact of prerequisites on ordering.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a Directed Acyclic Graph (DAG)?
💡 Hint: Focus on the structure - can you loop back?
True or False: Topological sorting can be applied to any graph.
💡 Hint: What about cycles in a graph?
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Consider a university with courses A, B, C, D, where A -> B, A -> C, and C -> D. If A must be taken before B and C, how many semesters will be required to complete all courses?
💡 Hint: Draw the DAG and analyze the dependencies.
In a given DAG of courses represented by nodes with varying indegrees, propose an algorithm to optimally calculate the longest path.
💡 Hint: Think about the maximum values from what you already know.
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