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Data Structures for Coding Interviews in Java

Solution: Find a Mother Vertex in a Directed Graph

Explore methods to find a mother vertex in a directed graph by using depth-first search and Kosaraju's strongly connected component algorithm. This lesson explains how to identify and validate a vertex that can reach all others, covering step-by-step implementations and complexity analysis.

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Statement

Given a directed graph as input, determine a mother vertex within it. A mother vertex in a graph G=(V,E)G = (V, E), is vertex VV such that all other vertices in GG can be reached by a path from VV. Although a graph might feature multiple mother vertices, your goal is to identify at least one.

Constraints:

  • 0≤ ...