Leetcode Problem 261. Graph Valid Tree

261. Graph Valid Tree

Leetcode Solutions

Graph Theory + Union Find

  1. Initialize Union Find structure with n nodes, each node in its own set.
  2. Iterate over each edge in the graph.
  3. For each edge (u, v), perform find operation on both u and v.
  4. If find(u) equals find(v), a cycle is detected, return false.
  5. If find(u) does not equal find(v), merge the sets containing u and v using union operation.
  6. After processing all edges, check if there is exactly one set containing all nodes. If yes, return true, otherwise return false.
  7. Additionally, check if the number of edges is n - 1. If not, return false.
UML Thumbnail

Graph Theory + Depth-First Search (DFS)

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