After executing DFS( G2, A), the parent of vertex G is vertex A. True False
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9. Graph Traversal
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- The following graph is connected. True or False True FalseInformation 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…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)
- 5. (This question goes slightly beyond what was covered in the lectures, but you can solve it by combining algorithms that we have described.) A directed graph is said to be strongly connected if every vertex is reachable from every other vertex; i.e., for every pair of vertices u, v, there is a directed path from u to v and a directed path from v to u. A strong component of a graph is then a maximal subgraph that is strongly connected. That is all vertices in a strong component can reach each other, and any other vertex in the directed graph either cannot reach the strong component or cannot be reached from the component. (Note that we are considering directed graphs, so for a pair of vertices u and v there could be a path from u to v, but no path path from v back to u; in that case, u and v are not in the same strong component, even though they are connected by a path in one direction.) Given a vertex v in a directed graph D, design an algorithm for com- puting the strong connected…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 functionThe graph is another structure that can be used to solve the maze problem. Every start point, dead end, goal, and decision point can be represented by node. The arcsbetween the nodes represent one possible path through the maze. A graph maze is shown in Figure Q4.1. Start A D H K Goal Figure Q4.1: Graph Maze Describe the graph as in Figure Q4.1, using the formal graph notation of V i. and E.V: set of vertices E: set of edges connecting the vertices in V
- Assume you are to write a program to analyze the social connection between students in MTSU. Each student is a node in a undirected graph. An edge is added between two nodes if these two students have close social connections, i.e., in the same club, or in the same department. Which would be a better representation for this graph? Question 45 options: adjacency matrix representation adjacency list representationThe usage of linked lists in a certain fashion allows them to be used as a representation of adjacency lists on a graph. If you want to prove a point, you need to make it using an example. Is it true that no prior experience or education is needed to begin learning to code?The Graph Data Structure is made up of nodes and edges. (A Tree Data Structure is a special kind of a Graph Data Structure). A Graph may be represented by an Adjacency Matrix or an Adjacency List. Through this exercise, you should be able to have a better grasp the Adjacency Matrix concept. You are expected to read about the Adjacency Matrix concept as well as the Adjacency List concept. Suppose the vertices A, B, C, D, E, F, G and H of a Graph are mapped to row and column indices(0,1,2,3,4,5,6,and 7) of a matrix (i.e. 2-dimensional array) as shown in the following table. Vertex of Graph Index in the 2-D Array Adjacency Matrix Representation of Graph A B 2 F 6. H 7 Suppose further, that the following is an Adjacency Matrix representing the Graph. 3 4 5. 6. 7 0. 1 1 1 1 01 1 01 1. 3 14 1 1 1 6. 1 Exercise: Show/Draw the Graph that is represented by the above Adjacency matrix. Upload the document that contains your result. (Filename: AdjacencyMatrixExercise.pdf) Notes: -The nodes of the…
- 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.An adjacency matrix might be a better choice for speeding up a program, however, it consumes huge memory for large graphs. How this situation can be improved? What programming constructs better suit graph representation? Explain with example12. If some resources have only a single instance, then we can use the wait-for graph. True False answer with true or false no explanation needed