What is involved in graph traversal?

Graph traversal is a fundamental operation in graph theory that involves systematically visiting every vertex in a graph in a specific order. This process allows for searching or processing the information contained within the vertices of the graph.

Visiting every vertex systematically is crucial because it ensures that all vertices are accounted for, which is necessary for tasks such as searching for a particular value, determining connectivity, or performing other computations that require access to the entire graph.

There are different methods of traversal, such as Depth-First Search (DFS) and Breadth-First Search (BFS), both of which define specific strategies for systematically exploring each vertex and its associated edges. This structured approach allows algorithms to efficiently handle the graph's structure and retrieve information as needed.

The other options, while related to graph operations, do not encapsulate the essence of what graph traversal involves. Sorting vertices by weight pertains to organizing the graph's vertices according to a specific criteria, while checking for connectivity relates to determining connected components without necessarily visiting all vertices. Removing edges pertains to modifying the graph's structure rather than visiting vertices. Thus, the focus on systematic visitation captures the core function of graph traversal accurately.