Problem: Redundant Connection

Medium

30 min

Explore how to apply the Union Find pattern to detect and remove redundant edges in undirected graphs with one cycle. Understand the problem of transforming a connected graph into a tree by eliminating one edge. This lesson guides you through implementing a solution to find the last edge causing cycles, helping you solidify skills in 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