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Data Structures for Coding Interviews in Python

Solution: Find a Mother Vertex in a Directed Graph

Explore methods to find a mother vertex in directed graphs by using depth-first search and Kosaraju’s strongly connected components algorithm. Understand how to validate a vertex from which all others are reachable, enabling efficient graph traversal and problem-solving in coding interviews.

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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≤ ...