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Solution: Redundant Connection

Explore how to apply the union-find pattern to find and remove a redundant connection in an undirected graph. Understand the implementation of union by rank and path compression to efficiently detect cycles, enabling you to return the edge that completes a cycle in the graph. This lesson helps you build and optimize a solution with O(n) time complexity for practical graph problems.

Statement

We’re given an undirected graph consisting of nn nodes. The graph is represented as an array called edges, of length nn, where edges[i] = [a, b] indicates that there is an edge between nodes a and b in the graph.

Return an edge that can be removed to make the graph a treeA tree is an undirected graph that is connected and has no cycles. of nn nodes. If there are multiple candidates for removal, return the edge that occurs last in edges.

Constraints:

  • 33 \leq nn 100\leq 100
  • edges.length
...