Throughout, a graph is given as input as an adjacency list. That is, G is a dictionary where the keys are vertices, and for a vertex v, G[v] = [u such that there is an edge going from v to u]. In the case that G is undirected, for every edge uv, v is in G[u] and u is in G[v]. 1. Write the full pseudocode for DFS. Input: A directed graph G that's not necessarily strongly connected, and a vertex v. Output: Visit every node of the graph using DFS, and output the pre-order and post-order numbers.

Throughout, a graph is given as input as an adjacency list. That is, G is a dictionary where the keys are vertices, and for a vertex v, G[v] = [u such that there is an edge going from v to u]. In the case that G is undirected, for every edge uv, v is in G[u] and u is in G[v]. 1. Write the full pseudocode for DFS. Input: A directed graph G that's not necessarily strongly connected, and a vertex v. Output: Visit every node of the graph using DFS, and output the pre-order and post-order numbers.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter18: Stacks And Queues

Section: Chapter Questions

Problem 16PE: The implementation of a queue in an array, as given in this chapter, uses the variable count to...

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Application "networkx" library is used for implementing graphs. Draw a graph using this library in python. (Hint: use 'add_node()", 'add_edge()' functions to draw edges and nodes). Construct the graph shown in figure using python language. Also, plot the graph using matplotlib library, Traverse the graph using DFS, and output the DFS order. 2
The implementation of a queue in an array, as given in this chapter, uses the variable count to determine whether the queue is empty or full. You can also use the variable count to return the number of elements in the queue. On the other hand, class linkedQueueType does not use such a variable to keep track of the number of elements in the queue. Redefine the class linkedQueueType by adding the variable count to keep track of the number of elements in the queue. Modify the definitions of the functions addQueue and deleteQueue as necessary. Add the function queueCount to return the number of elements in the queue. Also, write a program to test various operations of the class you defined.
Consider a collection of V intervals on the real line(pairs of real numbers). Such a collection defines an interval graph with one vertex corresponding to each interval, with edges between vertices if the corresponding intervalsintersect (have any points in common). Write a program that generates V random intervals in the unit interval, all of length d, then builds the corresponding interval graph.Hint: Use a BST.
Undirected graph is given with the list of edges. First line contains number of vertices. Each next line contains an edge. Run Depth First Search (DFS) from the specified vertex. Print the last visited vertex during DFS. Input The first line contains number of vertices n. Next lines contains list of edges (read till the end of file). Output Run Depth First Search (DFS) from the vertex 5. Print the last visited vertex during DFS. Sample input 5 13 23 25 Sample output 1
Please help with the program below. Need to write a program called dfs-stack.py in python that uses the algorithm below without an agency list but instead uses an adjacency matrix. The program should prompt the user for the number of vertices V, in the graph.Please read the directions below in the image I will post a picture of the instructions and the algorithm.
you get setup to work with graphs.Create a Graph class to store nodes and edges or download a Graph librarysuch as JUNG. Use it to implement Breadth First Search and Depth First SearchFollow the video from class if you need a reference.
In this problem you will implement a function called triangle_countwhich will take as input a graph object G, representing an undirectedgraph G, and will return the number of triangles in G. Do not use anyimports for this problem. To simplify the problem you may assume thateach edge is stored twice in G. That is if an edge goes from u to v then vwill be in u’s collection and u will be in v’s collection. If you would prefer,you may assume that an edge is only stored once. In either case G willneed to be regarded as undirected.
A graph is given below. What is the return value to run the graph function first( 0 )? int first(int v); // Get v's first neighbor 1 2 3 4 1 1 1 1 1 3 1 4 (a) (b) 1 2 3 4 (c) а. 2 b. 1 O c. 4 O d. 3 е.
Suppose you are given two circularly linked lists, L and M. Develop javaapplication for telling if L and M store the same sequence of elements (butperhaps with different starting points).
Create the following graph. Implement the following functions. 1. addEdge() that takes two vertices as two parameters and creates an Edge between them. 2. nonAdjacentVertices() that takes a single vertex as parameter, and returns an array of vertices that are NOT adjacent to that vertex. 3. Write a function addUnknownVertices() that takes a vertex as a parameters, and creates an Edge with the vertices that are NOT adjacent to it. 4. Write a method searchVertex() which takes an array of Vertices as parameters. The first member of the array will be the starting vertex and the last member will be the Vertex you want to reach. For example searchVertex(Vertex 0, Vertex 4, Vertex 3) will output “Vertex cannot be reached” since you can reach from 0 to 4, but cannot from 4 to 3. Again, searchVertex(Vertex 0, Vertex 1, Vertex 2, Node 3) will output “Vertex can be reached” since you can reach from 0 to 1, 1 to 2, 2 to 3.
Our main objective is to implement breadth-first-search (BFS) to print the vertices of a graph G. To get the full grade, you must annotate your code (i.e., write relevant comments throughout your program) and proceed as follows: Ask the user to enter the number of nodes of a graph G. Ask the user to enter the edges of G (e.g., if the user enters 3 and 5; it means that there is an edge between nodes 3 and 5). Store the graph G using an adjacency matrix. Run BFS on G, starting form node 1 (i.e., we assume here that the start node is 1). Use a queue to implement BFS. You may use the queue class from the library of the programming language you are using (so there is no need to implement your own class queue). Write a main function to test your program, and make sure BFS is visiting the vertices of G as expected.
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