W4_L7: Topological sorting

Welcome to Week 4 Lecture 7 of the course "Programming, Data Structures and Algorithms using Python" by Prof. Madhavan Mukund. Full Course: https://study.iitm.ac.in/ds/course_pages/BSCS2002.html Video Overview This lecture explores Directed Acyclic Graphs (DAGs) and the concept of Topological Sorting, a crucial technique for organizing tasks that depend on one another. You’ll learn how DAGs are used to represent dependencies in scheduling problems, where topological sorting finds an order that ensures each task is executed only after its prerequisites are completed. The lecture explains why acyclicity is essential for a valid topological order and presents an efficient algorithm to generate feasible schedules. We implement the algorithm using both an adjacency matrix and an adjacency list, analyzing their performance differences in terms of time complexity and memory usage. 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/study-at-iitm/non-campus-bs-programmes #DirectedAcyclicGraph #DAG #TopologicalSort #GraphTheory #Algorithms #DataStructures #Dependencies #Scheduling #AdjacencyMatrix #AdjacencyList #GraphAlgorithms #ComputerScience #Indegree #Cycles #Queue #FeasibleSchedule #MplusN #NSquared #IITMadras #AlgorithmDesign #PythonProgramming #DataStructuresAndAlgorithms