Problem: Redundant Connection

Medium

30 min

Understand how to apply the Union Find data structure to detect and remove redundant connections in an undirected graph. This lesson helps you identify edges that create cycles, ensuring the graph becomes a tree by removing the correct edge. You will implement the solution using provided code and deepen your knowledge of graph connectivity and cycle detection.

Statement

We’re given an undirected graph consisting of $n$ nodes. The graph is represented as list called edges, of length $n$ , 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 $n$ nodes. If there are multiple candidates for removal, return the edge that occurs last in edges.

Constraints:

$3 \leq$ $n$ $\leq 100$
edges.length $=$ $n$
edges[i].length $=$ 2
$1 \leq$ a $<$ b $\leq n$
$a \neq b$
There are no repeated edges.
The given graph is connected.
The graph contains only one cycle.

Problem: Redundant Connection

Medium

30 min

Statement

Constraints:

$3 \leq$ $n$ $\leq 100$
edges.length $=$ $n$
edges[i].length $=$ 2
$1 \leq$ a $<$ b $\leq n$
$a \neq b$
There are no repeated edges.
The given graph is connected.
The graph contains only one cycle.

Problem: Redundant Connection

Statement

Example

Understand the problem

Figure it out!

Try it yourself

Problem: Redundant Connection

Statement

Example

Understand the problem

Figure it out!

Try it yourself