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- Using Python, program a function that parses a Travel Mapping Graph (.tmg) file and returns a Weighted Graph that represents that Highway Graph.I need a Multidimensional matrix to be made out of this input file for a DFS. A to B are points on a graph and 10 is the distance. A B 10 C 15B C 10 D 15C A 5D A 10 B 20 E 10E A 25 X 33S1, x > 0 10, x < 0 On the same plot, graph the functions y = sin x, y = cos x, and y = on the interval [-27, 27]. 1. Make sure the curves have different colors 2. Add a legend and label each curve appropriately
- One can manually count path lengths in a graph using adjacency matrices. Using the simple example below, produces the following adjacency matrix: A B A 1 1 B 1 0 This matrix means that given two vertices A and B in the graph above, there is a connection from A back to itself, and a two-way connection from A to B. To count the number of paths of length one, or direct connections in the graph, all one must do is count the number of 1s in the graph, three in this case, represented in letter notation as AA, AB, and BA. AA means that the connection starts and ends at A, AB means it starts at A and ends at B, and so on. However, counting the number of two-hop paths is a little more involved. The possibilities are AAA, ABA, and BAB, AAB, and BAA, making a total of five 2-hop paths. The 3-hop paths starting from A would be AAAA, AAAB, AABA, ABAA, and ABAB. Starting from B, the 3-hop paths are BAAA, BAAB, and BABA. Altogether, that would be eight 3-hop paths within this graph. Write a program…We are building a CNN network for image classification. The image dmension is 64*64*3. Here is the network. CONV1: 64 filters of size 3*3*x1, stride 1, padding p1, (output image dimension is same as input); CONV2: 32 filters of size 5*5*x2, stride 1, padding p2, (output image dimension is same as input); POOL1: filter size 2*2, stride 2, padding 0 (output dimension is D) a) Find, D, x1, x2, p1, p2. (10) b) How many parameters this model needs to learn for this problem.Warshall's algorithm is applied on the following graph. Show the values of the table element "c to a" for each step of the algorithm. Use -1 for infinity. Initially (at step 0) the table element is -1. (Table elements are listed in alphabetical order from a to g, and this order is used for the steps of the algorithm. Accordingly in the first step the paths going through a are used.) a ... 1 2 2 2 (f 1 2 4
- Assume for an undirected graph with 6 vertices and 6 edges that a vertex index requires 3 bytes, a pointer requires 5 bytes, and that edge weights require 3 bytes. Since the graph is undirected, each undirected edge is represented by two directed edges. Calculate the byte requirements for an adjacency matrix.Given the frame F(v1, v2,0) such taht v1= [2,3], v2= [4,5], O=(6,2), determine the point Q that has coordinates (1,2,3) in this frame.Imagine a robot sitting on the upper left corner of grid with r rows and c columns.The robot can only move in two directions, right and down, but certain cells are "off limits" such that the robot cannot step on them. Design an algorithm to find a path for the robot from the top left to the bottom right.
- Instructions Show A graph is represented in adjacency list shown below. Starting at vertex 2, the sequence of vertices of the graph visited using a depth- first-search algorithm is (blank a) (Hint: a sample representation of a sequence of vertices is (2, 3, 4.)). Starting at vertex 3, the sequence of vertices of the graph visited using a breadTH-first-search algorithm is blank b). The first row (or the top row) in the adjacency matrix of this graph is (blank c). (Hint a sample representation of a row in an adjacency matrix is (10101101). The running time of adding one more vertex into this graph is (blank d) in terms of the performance of the adjacency list structure. Adjacent vertices 1, 2 0, 2, 6 0, 1,6 Vertex 2. 13 4 9. 3,6, 7 6. 1, 2, 4, 5, 7 7 5, 6In a network of N nodes, how many iterations are required for Dijkstra's algorithm to completes its execution. Hint: Section 5.2.1 has the pseudo code for Dijkstra's link state algorithm that finds the shortest path from a source node to every node in the network. Professor Kurose shows the pseudo code in his video. The pseudo code in the text shows an initialization step and then a loop. How many times would the loop be executed for a network of N nodes? O N+1 times ON-1 times ON times O N² times3. 4. Given a directed acyclic graph G = (V, E) and two vertices s, te V, design an efficient algorithm that computes the number of different directed paths from s to t. Define the incidence matrix B of a directed graph with no self-loop to be an nxm matrix with rows indexed by vertices, column indexed by edges such that Bij = -1 1 0 if edge j leaves vertex i, if edge jenters vertex i, otherwise. Let BT be the transpose of matrix B. Find out what the entries of the n x n matrix BBT stand for.