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Solution: Redundant Connection

Explore how to solve the redundant connection problem in an undirected graph by applying the Union Find pattern. Understand initializing parent and rank arrays, using union and find methods, and optimizing with path compression and union by rank to efficiently detect cycles. This lesson helps you return the last redundant edge to transform a graph into a tree, with a focus on time and space complexity analysis.

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== nn
  • edges[i].length ==
...