Homework Answers
1. (a) Adjacency matrix :
s t u v w y
s 0 2 
1 6
t
0 3
u
0
v
0 4 4
w
5 4
0 2
y 3
0
Adjacency List:
s -> t -> v -> w -> /
t -> u -> /
u -> /
v -> w -> y -> /
w -> t -> u -> y -> /
y -> s -> /
"/" indicates null pointer
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1. Use the following graph for the questions. Show all the steps (a) Draw the adjacency...
9. In the graph below (A) Determine the shortest path from a to ALL other nodes using Dijkstra's ...
9. In the graph below (A) Determine the shortest path from a to ALL other nodes using Dijkstra's Shortest Path Algorithm, The answers must be in the following form: For each node, give the shortest path from a to that node (that is, list the nodes in the path). Also for each path give the length of the path. (B) ON THIS SHEET OF PAPER SHOWING A TRACE OF DIJKSTRA'S ALGORITHM ON THE GRAPH BELOW AS IDID IN CLASS FOR FULL CREDIT YOU MUST LABEL...
For the following questions, use the graph (starting node: S) below: 14. Show DFS traversal. 15....
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discrete 2 question 31 For Esercises 25.28, write the nodes in a breadth first search of the graph for Exercises 21 the node specified 25、 26, g 20. In the computer network in the accompanying fi...
discrete 2
question 31
For Esercises 25.28, write the nodes in a breadth first search of the graph for Exercises 21 the node specified 25、 26, g 20. In the computer network in the accompanying figure, the same message is to be broade Dribe ( 21-24 28. e 27. to nodes 4.Е. F and G. One way to do this is to find the shortest path from C to send out multiple copies of the same message. A more etficient...
CSC 430 GRAPH PROJECT Implement a graph class using an adjacency matrix or an adjacency list....
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Dijkstra’s Algorithm: You have to implement the Dijkstra’s algorithm and apply it on the graph provided below. You have to take the input from the user as an adjacency matrix representing the graph,...
Dijkstra’s Algorithm: You have to implement the Dijkstra’s
algorithm and apply it on the graph provided below.
You have to take the input from the user as an adjacency matrix
representing the graph, the source, the destination. Then you have
to apply the Dijkstra’s algorithm to find the shortest path from
the source and the destination, and find the shortest
route between the source and the destination.
For the input you have to read it from a file. It will...
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...
Please answer A and B 1. Consider the following adjacency matrix representing vertices v through v^:...
Please answer A and B
1. Consider the following adjacency matrix representing vertices v through v^: weighted graph containing a ro 5 0 0 8 0 61 5 0 0 7 0 0 0 jo 0 0 0 0 1 3| 0 7 0 0 2 0 0 8 0 0 0 0 1 0 0 0 4 L6 0 3 0 0 4 0- 20 0 0 a. Draw the graph resulting from the adjacency matrix b. Assuming the...
1. a. Using C++, represent the following graph using adjacency matrix, and implement depth first searching...
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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...
Please help me with this answer. Performance Comparison for Dijkstra Algorithm and Bellman-Ford Algorithm Problem Description...
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For the following questions, use the graph (starting node: S) below: 14. Show DFS traversal. 15. Show BFS traversal. 16. Show the result of a topological sorting of the graph 17. Dijikstra's single source shortest paths for all nodes 18. Show a tabular form soultion of following 0/1 knapsack problem. Value {5,7, 3, 10, 12, 4, 10} Weight {2,3,1,5, 6, 2,4} Total Weight: 12 19. Show a solution to Fractional knapsack problem with the same weight, value, and total weight...
discrete 2
question 31
For Esercises 25.28, write the nodes in a breadth first search of the graph for Exercises 21 the node specified 25、 26, g 20. In the computer network in the accompanying figure, the same message is to be broade Dribe ( 21-24 28. e 27. to nodes 4.Е. F and G. One way to do this is to find the shortest path from C to send out multiple copies of the same message. A more etficient...
Dijkstra’s Algorithm: You have to implement the Dijkstra’s
algorithm and apply it on the graph provided below.
You have to take the input from the user as an adjacency matrix
representing the graph, the source, the destination. Then you have
to apply the Dijkstra’s algorithm to find the shortest path from
the source and the destination, and find the shortest
route between the source and the destination.
For the input you have to read it from a file. It will...
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...
Please answer A and B
1. Consider the following adjacency matrix representing vertices v through v^: weighted graph containing a ro 5 0 0 8 0 61 5 0 0 7 0 0 0 jo 0 0 0 0 1 3| 0 7 0 0 2 0 0 8 0 0 0 0 1 0 0 0 4 L6 0 3 0 0 4 0- 20 0 0 a. Draw the graph resulting from the adjacency matrix b. Assuming the...
1. a. Using C++, represent the following graph using adjacency matrix, and implement depth first searching (DFS) by stack (define it with class) to traverse the graph. 6 7 2 4 b. If starting with node 2, when node 7 is printed, what numbers are in the stack (for DFS)? Please draw the stack step by step to show how the numbers are pushed into and popped out of it. 2. a. Given a set of integer numbers as int...
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...
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