This document discusses and provides examples of depth-first search (DFS) and breadth-first search (BFS) algorithms for traversing graphs. It explains that DFS involves recursively exploring all branches of the graph as deep as possible before backtracking, while BFS involves searching the neighbors of the starting node first before moving to the next level. Examples are given showing the step-by-step process of applying DFS and BFS to traverse graphs and mark visited vertices.