Design & Analysis of Algorithms - Vol 1 | 23. Directed Acyclic Graphs (DAGs) by Abraham | Learn Smarter
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Typing
Memory
Math
English Adventures
Knowledge
23. Directed Acyclic Graphs (DAGs)

Directed Acyclic Graphs (DAGs) present a vital framework for managing tasks with dependencies, ensuring tasks are completed in the correct order without cycles. The fundamental challenge explored is sequencing tasks based on their constraints, utilizing graph representations. The chapter delves into the properties of DAGs and introduces the concept of topological sorting as a systematic method to achieve valid task ordering.

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Sections

  • 23.1

    Design And Analysis Of Algorithms, Chennai Mathematical Institute

    This section introduces Directed Acyclic Graphs (DAGs), their representation, properties, and their significance in task sequencing under constraints.

    Learning Practice

  • 23.2

    Directed Acyclic Graphs (Dags)

    This section introduces Directed Acyclic Graphs (DAGs), focusing on their characteristics and importance in representing tasks and constraints.

    Learning Practice

  • 23.2.1

    Introduction To Dags

    Directed Acyclic Graphs (DAGs) model tasks with constraints, enabling efficient task sequencing.

    Learning Practice

  • 23.2.2

    Dependency Problem Description

    This section introduces Directed Acyclic Graphs (DAGs) to model tasks with dependencies, highlighting the significance of task sequencing based on constraints.

    Learning Practice

  • 23.2.3

    Modeling Dependencies With Graphs

    This section introduces Directed Acyclic Graphs (DAGs) for modeling dependencies between tasks and discusses the process of topological sorting.

    Learning Practice

  • 23.2.4

    Characterization Of Dags

    Directed Acyclic Graphs (DAGs) are crucial for structuring tasks with dependencies, ensuring that tasks are performed in a valid sequence based on their constraints.

    Learning Practice

  • 23.2.5

    Topological Sorting Of Dags

    This section discusses the concept of Directed Acyclic Graphs (DAGs) and introduces topological sorting as a method for ordering tasks based on their dependencies.

    Learning Practice

  • 23.2.6

    Indegree And Outdegree In Dags

    This section introduces Directed Acyclic Graphs (DAGs) and explains the concepts of indegree and outdegree in the context of task scheduling with dependencies.

    Learning Practice

  • 23.2.7

    Existence Of Vertex With Indegree 0

    This section discusses the existence of at least one vertex with an indegree of 0 in Directed Acyclic Graphs (DAGs) and its implications for task ordering.

    Learning Practice

  • 23.2.8

    Algorithm For Topological Sorting

    This section discusses the concept of Directed Acyclic Graphs (DAGs) and the method of performing topological sorting to order tasks based on their dependencies.

    Learning Practice

References

ch23 part a.pdf

Class Notes

Memorization

What we have learnt

  • Directed Acyclic Graphs (DA...
  • Topological sorting sequenc...
  • Every DAG contains at least...

Final Test

Revision Tests