Challenge: Graph Valid Tree

The challenge involves determining if an undirected graph with n nodes (labeled from 0 to n-1) forms a valid tree. A valid tree is characterized by all nodes being connected without any cycles. The constraints specify that the number of nodes can range from 1 to 100, and edges can be up to 5000, with no repeated edges or self-loops allowed. The task is to return TRUE if the graph is a valid tree and FALSE otherwise.