What is a strongly connected component in a directed graph?
a) A subgraph where every vertex is reachable from every other vertex
b) A subgraph where all edges have the same weight
c) A tree where all nodes have equal depth
d) A graph where all vertices are isolated
Answer:
a) A subgraph where every vertex is reachable from every other vertex
Explanation:
A strongly connected component (SCC) in a directed graph is a maximal subgraph where every vertex is reachable from every other vertex within that subgraph. In other words, there is a path from each vertex to every other vertex in the component.
SCCs can be identified using algorithms like Kosaraju’s or Tarjan’s algorithm, which traverse the graph and group vertices into strongly connected components.
SCCs are important in many graph-based algorithms, including those used for analyzing dependencies and detecting cycles in directed graphs.
Reference:
DSA (Data Structures and Algorithms) MCQ Questions and Answers