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- 1. Write a program (WAP) to create an undirected graph using adjacency matrix representation.Number of nodes and edges should be taken from the user. After creating the graph, performfollowing operations: (i) Search a node. Take the node number from the user. If the node is found then print its associatededges.(ii) Insert a node in the graph.(iii) Insert an edge in the graph. Take the node numbers from the user between which the edge is tobe inserted.(iv) Delete a node from the graph. Take the node number to be deleted from the user.(v) Apply DFS on the graph and print the graph traversal.(vi) Apply BFS on the graph and print the graph traversal.2. Solve the above problem using adjacency list representation.Q9-A student has to plot a graph of f(x)=z and g(y)=z in the same graph, with t as a parameter. The function he uses is O plot3(x,y,z) plot(x,y,z) disp O stem(x,y)2. Use the following description of an undirected graph and draw the graph: v(Graph1) = { A, B, C, D} E(Graph1) = { (A,B), (A,D), (B,C), (B,D) }
- implementation a undirected graph data structure using adjacency list, in c code: creating graph, adding node and edge, deleting node and edgeComputer Science ASAP PLS In this assignment, you should input a single graph. Then run your DFS or BFS, MST, and Dijkstra's algorithm for the input graph. This input graph can be created by reading from a file or using keyboard to input.Given the graph class using the adjacency matrix representation,Implement the DFS algorithm (as discussed in the lecture slide) ongraph using the adjacency matrix representation. You have to use thegraph code as a starting point, and add the DFS method in the graphclass similar to the BFS method already present in the Graph class.
- This assignment requires the extension of your graph code to apply it to movement through a “world”. The world will be a weighted, directed graph, with nodes for the start position and target(s), and other nodes containing blocks, diversions, boosts and portals. For example, in a cat world, a dog may block you, toys may take your attention, food may give you more energy and portals may prove that cats are pan-dimensional beings. This structure could also be used to implement Snakes and Ladders, or other games. Your task is to build a representation of the world and explore the possible routes through the world and rank them. Sample input files will be available – with various scenarios in a cat world. Your program should be called gameofcatz.py/java, and have three starting options: * No command line arguments : provides usage information * "-i" : interactive testing environment * "-s" : simulation mode (usage: gameofcatz –s infile savefile) When the program starts in interactive mode,…5. Icosian Game A century after Euler's discovery (see Problem 4), another famous puzzle-this one invented by the renowned Irish mathematician Sir William Hamilton (1805–1865)-was presented to the world under the name of the Icosian Game. The game's board was a circular wooden board on which the following graph was carved: Find a Hamiltonian circuit-a path that visits all the graph's vertices exactly once before returning to the starting vertex-for this graph.Write a program (WAP) in c to create an undirected graph using adjacency matrix representation.Number of nodes and edges should be taken from the user. After creating the graph, performfollowing operations: (i) Search a node. Take the node number from the user. If the node is found then print its associatededges.(ii) Insert a node in the graph.(iii) Insert an edge in the graph. Take the node numbers from the user between which the edge is tobe inserted.(iv) Delete a node from the graph. Take the node number to be deleted from the user.(v) Apply DFS on the graph and print the graph traversal.(vi) Apply BFS on the graph and print the graph traversal.2. Solve the above problem using adjacency list representation.
- Prim's C++ algorithm. If you provide the software the number of vertices and adjacency matrix of a graph, it will use Prim's method to discover the shortest path across the graph.7- A student has created a plot of y(t)=t^2. He needs to show another graph of z(t)=t^3 in the same plot. But every time he hits the plot() function- MATLAB generates a plot of z(t) vs t but on a different window. What is the error? O It is not possible to plot multiple plots O He is not using the line function Maybe he is using polar() instead of plot() O He is not using the hold functionInformation Cascades It’s election season and two candidates, Candidate A and Candidate B, are in a hotly contested city council race in rainy Eastmoreland. You are a strategic advisor for Candidate A in charge of election forecasting and voter acquisition tactics. Based on careful modeling, you’ve created one possible version of the social graph of voters. Your graph has 10,000 nodes, where nodes are denoted by an integer ID between 0 and 9999. The edge lists of the graphs are provided in the homework bundle. Both graphs are undirected. Given the hyper-partisan political climate of Eastmoreland, most voters have already made up their minds: 40% know they will vote for A, 40% know they will vote for B, and the remaining 20% are undecided. Each voter’s support is determined by the last digit of their node id. If the last digit is 0–3, the node supports A. If the last digit is 4–7, the node supports B. And if the last digit is 8 or 9, the node is undecided. The undecided voters will go…