/* Class representing a directed graph using adjacency lists +/ static class Graph { int V; //Number of Vertices LinkedList [] 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(); //To add an edge to graph void addEdge (int v, int w) { adj [v].add (w); // Add w to the list of v.

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Java

Pleasse add Comments and Test-Cases to code.

explore a specific way to perform a Breadth First Search (BFS) of a given Graph [ Figure 1].

 

 

2
4
5
Figure 1: Graph for Traversal
/* 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
void addEdge (int v, int w)
{
adj [v].add (w); // Add w to the list of v.
2
Transcribed Image Text:2 4 5 Figure 1: Graph for Traversal /* 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 void addEdge (int v, int w) { adj [v].add (w); // Add w to the list of v. 2
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);
Your code will need to return the traversal of the nodes in BFS order, where
the traversal starts from Node/Vertex 0.
When you follow the traversal process as specified - the complexity of the solu-
tion will be linear as shown below.
Time Complexity: 0(V + E), where V is the number of Vertices and
E is the number of Edges respectively.
Space Complexity: 0(V)
The linear space complexity would come from the specific data structure you
employ to traverse the Graph using BFS.
Transcribed Image Text: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); Your code will need to return the traversal of the nodes in BFS order, where the traversal starts from Node/Vertex 0. When you follow the traversal process as specified - the complexity of the solu- tion will be linear as shown below. Time Complexity: 0(V + E), where V is the number of Vertices and E is the number of Edges respectively. Space Complexity: 0(V) The linear space complexity would come from the specific data structure you employ to traverse the Graph using BFS.
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