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Problem: Number of Connected Components in an Undirected Graph

Medium
30 min
Explore how to determine the number of connected components in an undirected graph by implementing efficient algorithms like union find. Understand graph representations and optimize your solution to run in linear time based on edges and vertices. This lesson helps you strengthen your problem-solving skills for coding interviews involving graph connectivity.

Statement

For a given integer, n, and an array, edges, return the number of connected components in a graph containing n nodes.

Note: The array edges[i] = [x, y] indicates that there’s an edge between x and y in the graph.

Constraints:

  • 11 \leq n 2000 \leq 2000

  • 00 \leq edges.length 1000\leq 1000

  • edges[i].length ==2== 2

  • 00 \leq x ,, y <\lt n

  • x \neq y

  • There are no repeated edges.

Problem
Ask
Submissions

Problem: Number of Connected Components in an Undirected Graph

Medium
30 min
Explore how to determine the number of connected components in an undirected graph by implementing efficient algorithms like union find. Understand graph representations and optimize your solution to run in linear time based on edges and vertices. This lesson helps you strengthen your problem-solving skills for coding interviews involving graph connectivity.

Statement

For a given integer, n, and an array, edges, return the number of connected components in a graph containing n nodes.

Note: The array edges[i] = [x, y] indicates that there’s an edge between x and y in the graph.

Constraints:

  • 11 \leq n 2000 \leq 2000

  • 00 \leq edges.length 1000\leq 1000

  • edges[i].length ==2== 2

  • 00 \leq x ,, y <\lt n

  • x \neq y

  • There are no repeated edges.