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Welcome to Week 10 Lecture 3 of the course "Mathematics for Data Science I" by Profs. Neelesh Upadhye, Madhavan Mukund. Full Course: https://study.iitm.ac.in/ds/course_pages/BSMA1001.html Video Overview This lecture explores how to represent graphs mathematically, moving beyond visual representations to enable computational analysis. We focus on reachability and connectivity, introducing the Adjacency Matrix and Adjacency List as two key methods for representing graphs in a way that algorithms can utilize. We then illustrate how to compute reachability using the adjacency matrix. We will also discuss the trade-offs between these representations and preview breadth-first and depth-first search strategies. 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 #Graphs #AdjacencyMatrix #AdjacencyList #Reachability #Connectivity #GraphAlgorithms #DataStructures #BreadthFirstSearch #DepthFirstSearch #GraphRepresentation #Vertices #Edges #InDegree #OutDegree #Algorithms #MathematicalRepresentation
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