Design & Analysis of Algorithms - Vol 1 | 25. DAGs: Longest Paths by Abraham | Learn Smarter
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25. DAGs: Longest Paths

25. DAGs: Longest Paths

The chapter covers the concept of Directed Acyclic Graphs (DAGs) and focuses on identifying the longest path within them. It discusses practical applications, such as scheduling courses based on prerequisites. The chapter emphasizes the use of topological sorting to determine the longest path efficiently, showcasing the relationship between longest paths and task scheduling with dependencies.

12 sections

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Sections

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  1. 25.1
    Dags: Longest Paths
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    This section explores the longest path problem in Directed Acyclic Graphs...

  2. 25.1.1
    Introduction To Dags
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    This section discusses Directed Acyclic Graphs (DAGs) and how to identify...

  3. 25.1.2
    Topological Sorting
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    Topological sorting provides a way to order the vertices of a Directed...

  4. 25.1.3
    Example With Courses And Prerequisites
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    This section explores the problem of finding the Longest Path in a Directed...

  5. 25.1.4
    Setting Up The Longest Path Problem
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    This section discusses the identification of the longest path in Directed...

  6. 25.1.5
    Computing Longest Path Using Topological Order
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    This section discusses the process of determining the longest path in a...

  7. 25.1.6
    Naive Vs. Incremental Computation
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    This section explores the concept of finding the longest path in Directed...

  8. 25.1.7
    Step-By-Step Example Of Longest Path Computation
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    This section explores how to compute the longest path in a directed acyclic...

  9. 25.1.8
    Pseudo Code For Longest Path
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    This section discusses finding the longest path in a Directed Acyclic Graph...

  10. 25.1.9
    Complexity Analysis
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    This section discusses how to analyze the longest path in a Directed Acyclic...

  11. 25.1.10
    Importance Of Dags And Efficiency In Longest Path
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    This section delves into Directed Acyclic Graphs (DAGs) and the significance...

  12. 25.1.11
    Challenges With Arbitrary Graphs
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    This section discusses the concept of identifying the longest path in...

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Study Material

ch24.pdf