Mathematics for Data Science 1 - W10 - Tutorial 2

Welcome to Week 10 Tutorial 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 In this tutorial, we construct a Depth-First Search (DFS) tree for a directed graph, starting at node 0 and exploring neighbors in numerical order. Step by step, we demonstrate how DFS traversal works and then analyze the resulting DFS tree to identify and classify edges into forward, backward (back edges), and cross edges. Finally, we count each type of edge and explain their significance in graph algorithms. This type of problem frequently appears in algorithm design, analysis, and coding interviews, making it an important skill to master. 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 #DFS #DepthFirstSearch #directedGraph #graphTraversal #algorithms #dataStructures #forwardEdges #backwardEdges #crossEdges #algorithmAnalysis #computerScience #tutorial #stepByStep