Homework Answers
The adjacent vertices to A are B, C and D. So first they will be visited
1) A B C D
Now the adjacent vertices to B are E and G. So they wil be visited.
2) A B C D E G
The adjacent vertices to C are which are not been visited are F. So F would be visited
3) A B C D E G F
Thus the BFS traversal is [A B C D E G F].
Add Answer to:
The following is an adjacency matrix of a directed graph. Start from vertex D, write down...
from collections import defaultdict # This class represents a directed graph using # adjacency list...
from collections import defaultdict # This class represents a directed graph using # adjacency list representation class Graph: # Constructor def __init__(self): # default dictionary to store graph self.graph = defaultdict(list) # function to add an edge to graph def addEdge(self,u,v): self.graph[u].append(v) # Function to print a BFS of graph def BFS(self, s): # Mark all the vertices as not visited visited = [False] * (len(self.graph)) # Create a queue for BFS queue...
LAB 1 2 5 7 6 9 3 8 . Write code to implement an adjacency matrix (2d matrix) which represents th...
JAVA
LAB 1 2 5 7 6 9 3 8 . Write code to implement an adjacency matrix (2d matrix) which represents the graph. Your code should contain a function called addEdgelint i, int j). Use this function to add the appropriate edges in your matrix. Write code to implement Depth-First-Search (DFS) and Breadth-First-Search (BFS) of your graph. Let 0 be the source Node . Traverse the graph using DFS, print the Nodes as they are visited. . Traverse the...
In Python 3 please Apply Breadth First Search (BFS) to traverse the following graph. Start your...
In Python 3 please
Apply Breadth First Search (BFS) to traverse the following graph. Start your traversal from vertex 0, and write down the order in which vertices will be visited during the traversal. 1 8 6 7 2 9 5 4 3
Based on the following adjacency list representation of a graph (where there are no weights assigned...
Based on the following adjacency list representation of a graph (where there are no weights assigned to the edges), in which order are the elements of this graph accessed during a BFS traversal starting at node A and DFS traversal starting at node E? A: B, C, D B: A, C, D C: A, B, D D: A, B, C, F E: F, G, H F: D, E, G G: E, F, H H: E, G When doing the traversal,...
4&5 0 1 2 3 1. Draw the undirected graph that corresponds to this adjacency matrix...
4&5
0 1 2 3 1. Draw the undirected graph that corresponds to this adjacency matrix 0 0 1 1 0 1 1 1 1 0 1 1 1 2 1 1 1 0 1 3 1 0 1 1 0 1 2. Given the following directed graph, how would you represent it with an adjacency list? 3. We've seen two ways to store graphs - adjacency matrices, and adjacency lists. For a directed graph like the one shown above,...
Question 3 (4 marks) For the directed graph below, list the order in which the nine...
Question 3 (4 marks) For the directed graph below, list the order in which the nine nodes are visited during a depth-first (DFS) traversal, as well as the order in which they are visited during a breadth first (BFS) traversal. As always, assume that any ties are resolved by taking nodes in alphabetical order. Write the answers in the boxes given g DFS sequence BFS sequence
Give the adjacency matrix representation and the adjacency lists representation for the graph G_1. Assume that...
Give the adjacency matrix representation and the adjacency lists representation for the graph G_1. Assume that vertices (e.g., in adjacency lists) are ordered alphabetically. For the following problems, assume that vertices are ordered alphabetically in the adjacency lists (thus you will visit adjacent vertices in alphabetical order). Execute a Breadth-First Search on the graph G_1, starting on vertex a. Specifiy the visit times for each node of the graph. Execute a Depth-First Search on the graph G_1 starting on vertex...
Consider the following directed graph, which is given in adjacency list form and where vertexes have...
Consider the following directed graph, which is given in adjacency list form and where vertexes have numerical labels: 1: 2, 4, 6 2: 4, 5 3: 1, 2, 6, 9 4: 5 5: 4, 7 6: 1, 5, 7 7: 3, 5 8: 2, 6, 7 9: 1, 7 The first line indicates that the graph contains a directed edge from vertex 1 to vertex 2, from 1 to vertex 4, and 1 to 6, and likewise for subsequent lines....
Lab 11 Adjacency Matrix Graph Objective: Create a class which constructs an adjacency matrix representation of...
Lab 11
Adjacency Matrix Graph
Objective:
Create a class which constructs an adjacency matrix
representation of a graph and performs a few graph operations.
Write an Adjacency Matrix Graph class which has the
following:
Two constructors:
Default which makes the matrix of a pre-defined size
Parameterized which takes in a non-negative or 0 size and
creates an empty matrix
addEdge: this method returns nothing and takes in two string
parameters and a weight. The two integer parameters correspond to
the...
# Problem 4 problem4_breadth_first_traversal = [0,] problem4_depth_first_traversal = [0,] def bfs(g,start): start.set...
# Problem 4
problem4_breadth_first_traversal = [0,]
problem4_depth_first_traversal = [0,]
def bfs(g,start):
start.setDistance(0)
start.setPred(None)
vertQueue = Queue()
vertQueue.enqueue(start)
while (vertQueue.size() > 0):
currentVert = vertQueue.dequeue()
for nbr in currentVert.getConnections():
if (nbr.getColor() == 'white'):
nbr.setColor('gray')
nbr.setDistance(currentVert.getDistance() + 1)
nbr.setPred(currentVert)
vertQueue.enqueue(nbr)
currentVert.setColor('black')
class DFSGraph(Graph):
def __init__(self):
super().__init__()
self.time = 0
def dfs(self):
for aVertex in self:
aVertex.setColor('white')
aVertex.setPred(-1)
for aVertex in self:
if aVertex.getColor() == 'white':
self.dfsvisit(aVertex)
def dfsvisit(self,startVertex):
startVertex.setColor('gray')
self.time += 1
startVertex.setDiscovery(self.time)
for nextVertex in startVertex.getConnections():
if nextVertex.getColor() == 'white':
nextVertex.setPred(startVertex)...
JAVA
LAB 1 2 5 7 6 9 3 8 . Write code to implement an adjacency matrix (2d matrix) which represents the graph. Your code should contain a function called addEdgelint i, int j). Use this function to add the appropriate edges in your matrix. Write code to implement Depth-First-Search (DFS) and Breadth-First-Search (BFS) of your graph. Let 0 be the source Node . Traverse the graph using DFS, print the Nodes as they are visited. . Traverse the...
In Python 3 please
Apply Breadth First Search (BFS) to traverse the following graph. Start your traversal from vertex 0, and write down the order in which vertices will be visited during the traversal. 1 8 6 7 2 9 5 4 3
4&5
0 1 2 3 1. Draw the undirected graph that corresponds to this adjacency matrix 0 0 1 1 0 1 1 1 1 0 1 1 1 2 1 1 1 0 1 3 1 0 1 1 0 1 2. Given the following directed graph, how would you represent it with an adjacency list? 3. We've seen two ways to store graphs - adjacency matrices, and adjacency lists. For a directed graph like the one shown above,...
Question 3 (4 marks) For the directed graph below, list the order in which the nine nodes are visited during a depth-first (DFS) traversal, as well as the order in which they are visited during a breadth first (BFS) traversal. As always, assume that any ties are resolved by taking nodes in alphabetical order. Write the answers in the boxes given g DFS sequence BFS sequence
Give the adjacency matrix representation and the adjacency lists representation for the graph G_1. Assume that vertices (e.g., in adjacency lists) are ordered alphabetically. For the following problems, assume that vertices are ordered alphabetically in the adjacency lists (thus you will visit adjacent vertices in alphabetical order). Execute a Breadth-First Search on the graph G_1, starting on vertex a. Specifiy the visit times for each node of the graph. Execute a Depth-First Search on the graph G_1 starting on vertex...
Consider the following directed graph, which is given in adjacency list form and where vertexes have numerical labels: 1: 2, 4, 6 2: 4, 5 3: 1, 2, 6, 9 4: 5 5: 4, 7 6: 1, 5, 7 7: 3, 5 8: 2, 6, 7 9: 1, 7 The first line indicates that the graph contains a directed edge from vertex 1 to vertex 2, from 1 to vertex 4, and 1 to 6, and likewise for subsequent lines....
Lab 11
Adjacency Matrix Graph
Objective:
Create a class which constructs an adjacency matrix
representation of a graph and performs a few graph operations.
Write an Adjacency Matrix Graph class which has the
following:
Two constructors:
Default which makes the matrix of a pre-defined size
Parameterized which takes in a non-negative or 0 size and
creates an empty matrix
addEdge: this method returns nothing and takes in two string
parameters and a weight. The two integer parameters correspond to
the...
# Problem 4
problem4_breadth_first_traversal = [0,]
problem4_depth_first_traversal = [0,]
def bfs(g,start):
start.setDistance(0)
start.setPred(None)
vertQueue = Queue()
vertQueue.enqueue(start)
while (vertQueue.size() > 0):
currentVert = vertQueue.dequeue()
for nbr in currentVert.getConnections():
if (nbr.getColor() == 'white'):
nbr.setColor('gray')
nbr.setDistance(currentVert.getDistance() + 1)
nbr.setPred(currentVert)
vertQueue.enqueue(nbr)
currentVert.setColor('black')
class DFSGraph(Graph):
def __init__(self):
super().__init__()
self.time = 0
def dfs(self):
for aVertex in self:
aVertex.setColor('white')
aVertex.setPred(-1)
for aVertex in self:
if aVertex.getColor() == 'white':
self.dfsvisit(aVertex)
def dfsvisit(self,startVertex):
startVertex.setColor('gray')
self.time += 1
startVertex.setDiscovery(self.time)
for nextVertex in startVertex.getConnections():
if nextVertex.getColor() == 'white':
nextVertex.setPred(startVertex)...
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