Depth-First Search: Exploration and Analysis

This lecture covers the Depth-First Search (DFS) algorithm, which systematically explores every edge of a graph, starting from different vertices. It introduces the concept of discovery and finishing times for each vertex, forming a depth-first forest. The lecture explains the pseudocode of DFS and analyzes the classification of edges in the depth-first forest, including tree, back, forward, and cross edges. It also discusses the Parenthesis and White-path theorems, providing insights into the relationships between vertices during DFS exploration. An example related to getting dressed in the morning is used to illustrate the concepts discussed.