Final answer:
The breadth-first search (BFS) algorithm is commonly used in computer science to check for connectivity.
Therefore, the correct answer is: option e). connectivity
Step-by-step explanation:
The Breadth-First Search (BFS) algorithm can be used to accomplish various tasks in graph theory, most notably for finding the shortest paths between nodes in an unweighted graph and for checking graph connectivity.
BFS explores the graph levels by levels, starting from a source node and exploring all its neighbors before moving on to the next level of nodes. This characteristic makes BFS particularly well-suited for finding the minimum number of edges between two nodes.
BFS can be used to identify articulation points in a graph when it is combined with additional tracking of discovery and low times for each vertex, which helps determine the points upon which removing them would increase the number of connected components in the graph.
However, BFS alone cannot be used to determine acyclicity directly; algorithms such as Depth-First Search (DFS) are typically used for this purpose due to their backtracking feature.