2. (5 Points) Given adjacency list representation of a digraph below with 10 vertices
from 0 to 9, does it have a topological order? If so, provide one. Otherwise, explain
why.
0: 4 2 1 3
1: 2
2: 3
3:
4: 2
5: 1 4 3 8 9
6: 3 2 1 9
7: 2 1
8: 2 1 4 6
9: 3 1 4
2. (5 Points) Given adjacency list representation of a digraph below with 10 vertices from 0...
(6 points) Does there exist a digraph D in which no two vertices of D have the same outdegree but every two vertices of D have the same indegree? If so, draw such a digraph. Otherwise, explain.
Consider the following directed graph, which is given in adjacency list form and where vertexes have numerical labels: 1: 2, 4, 6 2: 4, 5 3: 1, 2, 6, 9 4: 5 5: 4, 7 6: 1, 5, 7 7: 3, 5 8: 2, 6, 7 9: 1, 7 The first line indicates that the graph contains a directed edge from vertex 1 to vertex 2, from 1 to vertex 4, and 1 to 6, and likewise for subsequent lines....
Consider the adjacency list represention of an undirected graph 0: 6, 4, 2, 9 1: 3 2: 0 3: 7, 6, 1 4: 6, 5, 7, 0 5: 4 6: 7, 4, 3, 0 7: 8, 6, 4, 3 8: 9, 7 9: 8, 0 give the preorder traversal when running depth first search from vertex 0 using the adjacency list represented above
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,...
Reverse of a digraph 30 Marks For a given set of digraphs, write a program that prints out the reverse of each digraph. Input format: described below under the heading “Digraph input format”. Note that adjacency lists are sorted. Output format: use the input format to output your result ensuring that the output adjacency lists are sorted. the input format: 4 1. 3 2. 3 0 3 1. 2 1 0 2. Reverse of a digraph 30 Marks For a...
Run BFS on the graph above starting from vertex 0 and list the vertices in order of their first visit.. Assume the adjacency list is in descending sorted order based on the label of the vertices. For example, when iterating through the edges pointing from 0, first consider the edge 0 → 6, then 0 → 3, and finally 0 → 1. راه من . 3 و 10 5
13. (10 points) Apply dijkstra's algorithm to the digraph shown below in order to find the shortest path from S to T. A BE 7 8 E 3 00 5 4 S 6 T 9 9 D
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...
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
Please answer question 2. Introduction to Trees Thank you 1. Graphs (11 points) (1) (3 points) How many strongly connected components are in the three graphs below? List the vertices associated with each one. 00 (2) (4 points) For the graph G5: (a) (0.5 points) Specify the set of vertices V. (b) (0.5 points) Specify the set of edges E. (c) (1 point) Give the degree for each vertex. (d) (1 point) Give the adjacency matrix representation for this graph....