W4_L6: Introduction to directed acyclic graph (DAG)

Welcome to Week 4 Lecture 6 of the course "Programming, Data Structures and Algorithms using Python" by Prof. Madhavan Mukund. Full Course: https://study.iitm.ac.in/ds/course_pa... Video Overview This lecture introduces Directed Acyclic Graphs (DAGs), a foundational concept in computer science used to represent tasks with dependencies. We explore how DAGs naturally model real-world scenarios such as project planning, moving into a new office, or scheduling interdependent tasks. The lecture explains topological sorting, a method for finding valid task execution orders, and introduces the longest path concept to determine the minimum time required to complete a project while respecting all dependencies. You’ll also see how these principles apply in diverse contexts like course scheduling, cooking, and construction planning, where ordering and precedence are essential for efficient execution. About IIT Madras' online Bachelor of Science programme IIT Madras offers four-year BS programmes that aim to provide quality education to all, irrespective of age, educational background, or location. The BS programme has multiple levels, which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned, the learner can receive a foundation certificate from IITM CODE (Centre for Outreach and Digital Education), diploma(s) from IIT Madras, or BSc/BS degrees from IIT Madras. For more details, Visit: https://www.iitm.ac.in/academics/stud... #DirectedAcyclicGraph #DAG #GraphTheory #TopologicalSort #LongestPath #Scheduling #DependencyGraph #TaskScheduling #Algorithms #DataStructures #ProjectManagement #GraphAlgorithms #ComputerScience #CycleDetection #BFS #DFS #IITMadras #AlgorithmDesign #PythonProgramming #DataStructuresAndAlgorithms #PrecedenceGraph