As a COMMENT IN CODE, please DO Test-Cases on how you would test your solution assumptions and hence your code explore a specific way to perform a Breadth First Search (BFS) of a given Graph [Figure 1].
As a COMMENT IN CODE, please DO Test-Cases on how you would test your solution assumptions and hence your code explore a specific way to perform a Breadth First Search (BFS) of a given Graph [Figure 1].
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
Java
Very important: As a COMMENT IN CODE, please DO Test-Cases on how you would test your solution assumptions and hence your 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc353cc0f-0c4d-4d5b-a3e6-e746dbb90f94%2F59c35ab4-0a6f-4873-9315-e0fc25300a3a%2Fv30vzwh_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc353cc0f-0c4d-4d5b-a3e6-e746dbb90f94%2F59c35ab4-0a6f-4873-9315-e0fc25300a3a%2F6sjxk8e_processed.png&w=3840&q=75)
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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