W10_L2: Some general graph problems

Welcome to Week 10 Lecture 2 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 introduces the power of graphs beyond simple reachability problems. We explore how graph representations can be used to solve seemingly unrelated problems like map coloring, classroom scheduling, security camera placement, dance program organization, and project group assignments. Learn how these diverse challenges can be modeled using graph coloring, vertex cover, independent sets, and matching, showcasing the versatility and importance of graph theory. 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 #GraphTheory #GraphColoring #VertexCover #IndependentSet #Matching #Algorithms #DataStructures #ComputerScience #MapColoring #Scheduling #Optimization #Graphs #Reachability #Connectivity #ProblemSolving