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- EXERCISE 2 Based on the image attached, represent the directed graph by listing all the vertices that are the terminal vertices of edges starting at each vertex of the graph.Create a y vector such that y = ex where x = [1,2,3,4,5,6,7,8,9]. Plot the result on an xygraph. Label the x- and y-axes and place a title on the graph.Use MATLAB.Let G be an undirected graph whose vertices are the integers 1 through 8, and let the adjacent vertices of each vertex be given by the table below: look at the picture sent Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in the same order as they are listed in the table above. Which statement of the following is correct? group of answer choices a) The sequence of vertices visited using a DFS traversal starting at vertex 1: 1, 2, 3, 4, 6, 5, 7, 8. b) The sequence of vertices visited using a BFS traversal starting at vertex 1: 1, 2, 3, 4, 6, 5, 7, 8. c) Both sequences are wrong. d) Both sequences are correct.
- Consider the graph depicted below. Answer the following questions: What is the degree of vertex a? What is the sum of degrees of all vertices? Who are the neighbors of vertex f? [Please, give the list in alphabetical order, separating letters with only a comma. Do not insert blank spaces] How many zeros does the adjacency matrix of the graph above contain? What is the value on row g and column d of the adjacency matrix?Question 9 Create a graph, if possible, with the following attributes, then find the index matrix of your graph. 6 vertices 5 edges One vertex with a degree of 3 All vertices are connected in some way, but it does not have to be a direct connectionVertices should be named by the letters in the alphabeth : A, B, C, D, EEdges should be named : e1,e2, e3, e4, e5, e6, e7, e8, e9 Draw or Make a Directed graph with 9 edges and 5 vertices
- A. Let G be a graph on 17 vertices. We know that G contains at most one cycle. How many edges can G contain at the most? B. The expression r is written in post-order notation (also referred to as RPN). What value does r evaluate to? r = 1 6 7 + - 5 3 + 2 * +1.) Draw a graph described by the following and determine the number of edges each should have.a.) 1 node of order (3)3 nodes of order (2)3 nodes of order (1)Question 13 sum .Skelch the araph of the function. Labet the vertex of the V-shape. f(x)=7|x-1| Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this line
- Please help... Adding one more vertices... highlighted with with bold... Let A, B, C, D be the vertices of a square with side length 100. If we want to create a minimum-weight spanning tree to connect these four vertices, clearly this spanning tree would have total weight 300 (e.g. we can connect AB, BC, and CD). But what if we are able to add extra vertices inside the square, and use these additional vertices in constructing our spanning tree? Would the minimum-weight spanning tree have total weight less than 300? And if so, where should these additional vertices be placed to minimize the total weight? Let G be a graph with the vertices A, B, C, D, and possibly one or more additional vertices that can be placed anywhere you want on the (two-dimensional) plane containing the four vertices of the square. Determine the smallest total weight for the minimum-weightMark Zuckerberg, the CEO of Facebook, has hired you to lead the Facebook Algorithms Group. He has asked you to use various graph algorithms to analyze the world's largest social network. The Facebook Graph has 2.8 billion vertices, with each vertex being a Facebook user. Two vertices are connected provided those two users are "friends". The first decision you need to make is how you want to model the Facebook graph. Determine whether you should use an adjacency-list representation or an adjacency-matrix representation.R-13.7 - Let G be a graph whose vertices are the integers 1 through 8, and let the adjacent vertices of each vertex be given by the table below: Vertex: 1 2 3 4 5 6 7 8 Adjacent Vertices: (2, 3, 4) (1, 3, 4) (1, 2, 4) (1, 2, 3, 6) (6, 7, 8) (4, 5, 7) (5, 6, 8) (5, 7) Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in the same order as they are listed in the table above. a. Draw G. b. Give the sequence of vertices of G visited using a DFS traversal starting at vertex 1. c. Give the sequence of vertices visited using a BFS traversal starting at vertex 1.