java code will need to return the traversal of the nodes in DFS order, where the traversal starts from Node/Vertex 0. When you follow the traversal process as specified - the complexity of the solution will be linear as shown below. Time Complexity: O(V + E), where V is the number of Vertices and E is the number of Edges respectively. Space Complexity: O(V ) The linear space complexity would come from the recursion (AKA ”recursion stack”) you employ to traverse the Graph.

Computer Networking: A Top-Down Approach (7th Edition)
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java

code will need to return the traversal of the nodes in DFS order, where
the traversal starts from Node/Vertex 0.
When you follow the traversal process as specified - the complexity of the solution will be linear as shown below.
Time Complexity: O(V + E), where V is the number of Vertices and
E is the number of Edges respectively.
Space Complexity: O(V )
The linear space complexity would come from the recursion (AKA ”recursion
stack”) you employ to traverse the Graph. 

/* Class representing a directed graph using adjacency lists */
static class Graph
int V; //Number of Vertices
LinkedList<Integer>[] adj; // adjacency lists
//Constructor
Graph(int V)
this.V = V;
adj = new LinkedList (V);
for (int i = 0; i < adj.length; i++)
adj [i] = new LinkedList<Integer>();
//To add an edge to graph
2
void addEdge (int v, int w)
adj [v].add(w); // Add w to the list of v.
The edges of the Graph is given to you.
g. addEdge (0, 1);
g. addEdge (0, 2);
g. addEdge (2, 3);
g. addEdge (2, 4);
g. addEdge (4, 5);
g. addEdge (1, 3);
g. addEdge (3, 5);
Transcribed Image Text:/* Class representing a directed graph using adjacency lists */ static class Graph int V; //Number of Vertices LinkedList<Integer>[] adj; // adjacency lists //Constructor Graph(int V) this.V = V; adj = new LinkedList (V); for (int i = 0; i < adj.length; i++) adj [i] = new LinkedList<Integer>(); //To add an edge to graph 2 void addEdge (int v, int w) adj [v].add(w); // Add w to the list of v. The edges of the Graph is given to you. g. addEdge (0, 1); g. addEdge (0, 2); g. addEdge (2, 3); g. addEdge (2, 4); g. addEdge (4, 5); g. addEdge (1, 3); g. addEdge (3, 5);
[1] With Recursion.
1
[2] Iteratively by using an explicit Stack.
3
2
4
Figure 1: Graph for Traversal
Transcribed Image Text:[1] With Recursion. 1 [2] Iteratively by using an explicit Stack. 3 2 4 Figure 1: Graph for Traversal
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