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Problem: Redundant Connection

med
30 min
Explore how to use the Union Find algorithm to detect and remove redundant connections in an undirected graph. This lesson helps you understand how to transform a graph with cycles into a tree by efficiently finding edges that can be removed, reinforcing connectivity and cycle detection concepts.

Statement

We’re given an undirected graph consisting of nn nodes. The graph is represented as list 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 == 2
  • 11 \leq a << b n\leq n
  • aba \neq b
  • There are no repeated edges.
  • The given graph is connected.
  • The graph contains only one cycle.
Tap here to switch tabs
Problem
Ask
Submissions

Problem: Redundant Connection

med
30 min
Explore how to use the Union Find algorithm to detect and remove redundant connections in an undirected graph. This lesson helps you understand how to transform a graph with cycles into a tree by efficiently finding edges that can be removed, reinforcing connectivity and cycle detection concepts.

Statement

We’re given an undirected graph consisting of nn nodes. The graph is represented as list 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 == 2
  • 11 \leq a << b n\leq n
  • aba \neq b
  • There are no repeated edges.
  • The given graph is connected.
  • The graph contains only one cycle.