(a) For the following graph, construct the adjacency matrix for the graph. D B E A...
(a) For the following graph, construct the adjacency matrix for the graph. E A (b) For the following graph, construct the adjacency list for the graph. Use "->" to represent a pointer/reference. 9 o 6 8 M 2 7 4 R 5 شايا N a) A B C D E F A B D E ΟΣzΟΔ. O
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:...
Identify the adjacency matrix for the graph. B E A C D B C D E 1 1 0 0 A А] 1 В 1 ос Do 0 1 0 o 1 0 о 1 0 0 1 0 E о 1 0 0 0 A 1 В Ос A B C D E 0 0 0 1 о 0 0 0 0 o 1 1 0 0 0 1 0 0 1 1 0 о 1 С D E...
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?
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.)
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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
The following is an adjacency matrix of a directed graph. Start from vertex D, write down the order of node visited in Breadth-First- Search (BFS) traversal. (Enter the nodes in order in the following format: [A B C D E F G]) Adjacenc y Matrix ABCDEFG A 1111 000 BO00 0101 C0111010 DO 0 1 0 0 1 1 E 0 1 0 1 000 F 100 1 100 G0000100
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,...
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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...
0 1 2 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 0 1 1 3 1 0 1 1 0 Given the following directed graph, how would you represent it with an adjacency list?