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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 analyzing nodes and edges. Learn to implement an efficient solution using Union Find, focusing on O(E + V) time and O(V) space complexity. This lesson helps enhance your problem-solving skills for graph-related coding interviews.

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 analyzing nodes and edges. Learn to implement an efficient solution using Union Find, focusing on O(E + V) time and O(V) space complexity. This lesson helps enhance your problem-solving skills for graph-related coding interviews.

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.