Challenge 7: Check if an Undirected Graph is Tree or Not
In this lesson, you will learn the difference between a graph and a tree. You will use this knowledge for the challenge below.
We'll cover the following
Problem statement
The next section will tackle the tree data structure. For now, here’s the basic difference between a graph and a tree. A graph can only be a tree under two conditions:
- There are no cycles.
- The graph is connected.
A graph is connected when there is a path between every pair of vertices. In a connected graph, there are no unreachable vertices. Each vertex must be able to reach every other vertex through either a direct edge or through a graph traversal.
You have to implement bool isTree(Graph g)
function, which will take a graph as input and it will find out if it is a tree.
Input
This is an undirected graph.
Output
It returns true
if the given graph is a tree; otherwise, it returns false
.
Sample input
graph = {
0 - 1
0 - 2
0 - 3
3 - 4
}
Sample output
True
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