Solution: Graph Valid Tree
Let's solve the Graph Valid Tree problem using the Graphs pattern.
We'll cover the following
Statement
Given n
as the number of nodes and an array of the edges
of a graph, find out if the graph is a valid tree. The nodes of the graph are labeled from to , and represents an undirected edge connecting the nodes and of the graph.
A graph is a valid tree when all the nodes are connected, and there is no cycle between them.
Constraints:
-
n
-
edges.length
edges[i].length
- ,
n
- There are no repeated edges.
Solution
For the graph to be a valid tree, the number of edges must equal . If the total number of edges is less than , not all the graph nodes are connected, which defies the property of a tree. Similarly, more edges will mean that there is a cycle in the graph; Therefore, it is not a tree.
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