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(a) For the following graph, construct the adjacency matrix for the graph. E A (b) For...
(a) For the following graph, construct the adjacency matrix for the graph. D B E A F A с (b) For the following graph, construct the adjacency list for the graph. Use "->" to represent a pointer/reference. Q 7 R 5 3 N
I've identified (a). It's (b)—(g) that I'd really appreciate help with. Consider the graph U2 (a) Find the adjacency matrix A- A(G) (b) Compute A4 and useit to determine the number of walks from vi to 2 of length 4. List all of these walks (these will be ordered lists of 5 vertices) (c) What is the total number of closed walks of length 4? (d) Compute and factor the characteristic polynomial for A (e) Diagonalize A using our algorithm:...
Help 2 2. II. Use the previous graphs to create the following: 1. Adjacency matrix for G in 1. 2. Incidence matrix for G in 1. 3. Adjacency list for G in 3. 4. Adjacency matrix for I in 5. 5. What is the degree of vertex a in 2. 6. If is a subgraph from G in 2. II-(K, L) is a complete graph, K-(b,c,d) and K C V. Draw the graph
Graph Representation Worksheet 4 1. What are the storage requirements assuming an adjacency matrix is used. As- sume each element of the adjacency matrix requires four bytes 2. Repeat for an adjacency list representation. Assume that an int requires 4 bytes and that a pointer also requires 4 bytes 3. Now, consider an undirected graph with 100 vertices and 1000 edges. What are the storage requirements for the adjacent matrix and adjacency list data structures?
Solve all parts please 5. In the following problems, recall that the adjacency matrix (or incidence matrix) for a simple graph with n vertices is an n x n matrix with entries that are all 0 or 1. The entries on the diagonal are all 0, and the entry in the ih row and jth column is 1 if there is an edge between vertex i and vertex j and is 0 if there is not an edge between vertex...
4&5 0 1 2 3 1. Draw the undirected graph that corresponds to this adjacency matrix 0 0 1 1 0 1 1 1 1 0 1 1 1 2 1 1 1 0 1 3 1 0 1 1 0 1 2. Given the following directed graph, how would you represent it with an adjacency list? 3. We've seen two ways to store graphs - adjacency matrices, and adjacency lists. For a directed graph like the one shown above,...
Shortest paths Consider a directed graph with vertices fa, b, c, d, e, f and adjacency list representation belovw (with edge weights in parentheses): a: b(4), f(2) e: a(6), b(3), d(7) d: a(6), e(2) e: d(5) f: d(2), e(3) (i) Find three shortest paths from c to e. (ii) Which of these paths could have been found by Dijkstra's shortest path algorithm? (Give a convincing explanation by referring to the main steps of the algorithm.)
Just give me the Edge list structure, Adjacency List structure, Adjacency Map Structure and Adjacency Matrix structure for the given graph. show all work please. 1. Pen down the complexities for all 4 data structures for graph. Give the Edge list structure, Adjacency List structure, Adjacency Map Structure and Adjacency Matrix structure for the given graph. 8 points 3 2 b 4 1
1. a. Using C++, represent the following graph using adjacency matrix, and implement DFS by using stack (define it using class) to traverse the graph. b. Similarly, implement BFS (define queue using class) to traverse the graph c.When node 6 is printed, what numbers are in the stack (for DFS) and queue (for BFS) respectively? Draw pictures to show them. 1. a. Using C++, represent the following graph using adjacency matrix, and implement DFS by using stack (define it using...
Please answer A and B 1. Consider the following adjacency matrix representing vertices v through v^: weighted graph containing a ro 5 0 0 8 0 61 5 0 0 7 0 0 0 jo 0 0 0 0 1 3| 0 7 0 0 2 0 0 8 0 0 0 0 1 0 0 0 4 L6 0 3 0 0 4 0- 20 0 0 a. Draw the graph resulting from the adjacency matrix b. Assuming the...