Total vertices are : A,B,C,D,E
i.e. there are 5 vertices.
The edges are: AB,AC,AD,AE,BE,BC,BD,CD,CE,DE.
i.e., total number of edges is 10
Each vertex is a fishing location, (A) is the starting point. The Edges represent the paths...
This week Discussion please must be in the
document
Initial Post: Remind your classmates of your
real-world situation presented in the Unit 7 Discussion including
the graph that you drew to model this situation.
1) Describe in the context of your situation and how you can
modify your graph into a spanning tree.
2) Draw a spanning tree from your initial graph.
3) Add appropriate weights to each of your edges for the context
of your situation.
Unit 7 Discussion...
You're running Dijkstra's algorithm to find all shortest paths
starting with vertex A in the graph below, but you pause after
vertex E has been added to the solution (and the relaxation step
for vertex E has been performed). Annotate the graph as follows:
(1) label each node with its current dist value, (2)
darken the edges that are part of the current spanning tree (i.e.,
the parent links), (3) draw a dotted circle around the
"cloud'' of vertices that...
question 1 and 2 please, thank
you.
1. In the following graph, suppose that the vertices A, B, C, D, E, and F represent towns, and the edges between those vertices represent roads. And suppose that you want to start traveling from town A, pass through each town exactly once, and then end at town F. List all the different paths that you could take Hin: For instance, one of the paths is A, B, C, E, D, F. (These...
Consider the weighted graph below: Demonstrate Prim's algorithm starting from vertex A. Write the edges in the order they were added to the minimum spanning tree. Demonstrate Dijkstra's algorithm on the graph, using vertex A as the source. Write the vertices in the order which they are marked and compute all distances at each step.
Show the operation of depth-first search (DFS) on the graph of Figure 1 starting from vertex q. Always process vertices in alphabetical order. Show the discovery and finish times for each vertex, and the classification of each edge. (b) A depth-first forest classifies the edges of a graph into tree, back, forward, and cross edges. A breadth-first search (BFS) tree can also be used to classify the edges reachable from the source of the search into the same four categories....
Run Prim (starting from vertex "f") and Kruskal algorithms on the graph below: 3 2 9 3 . (5 points) Prim's algorithm: draw a table that shows the vertices in the queue at each iteration, similar to example from the notes (2 points) Prim's algorithm: using the table from the first part, list the order in which edges are added to the tree (3 points) Kruskal's algorithm: list the order in which edges are added to the tree
Hello, I'd like someone to help me create these, thanks! 1. Type Vertex Create and document type Vertex. Each vertex v has the following pieces of information. A pointer to a linked list of edges listing all edges that are incident on v. This list is called an adjacency list. A real number indicating v's shortest distance from the start vertex. This number is −1 if the distance is not yet known. A vertex number u. The shortest path from...
Given a graph and a starting vertex, count the number of nodes a
specified distance away.
Requirements:
Create a graph of int's. Given a starting node with value key
and a distance dist , return the number of nodes that have a path
from id with exactly dist edges. If there are multiple paths, only
consider the shortest one.
int countNodesWithDist(int id, int dist); // example
declaration
Examples:
For the graph below, countNodesWithDist(2, 1) should return 2
since there are...
Can you please solve this
fully
Question 9 (10 marks) (i) How many vertices and how many edges do each of the following graphs have? [3 marks] (b) C16 (a) K70 (d) K2,5 (ii Suppose you have a graph G with vertices vi, v. vi7. Explain (clearly) how you would use the adjacency matrix A to find a. The number of paths from v to vir of length 12.12 marks] b. The length of a shortest path from vi to...
Recall the definition of the degree of a vertex in a graph. a)
Suppose a graph has 7 vertices, each of degree 2 or 3. Is the graph
necessarily connected ?
b) Now the graph has 7 vertices, each degree 3 or 4. Is it
necessarily connected?
My professor gave an example in class. He said triangle and a
square are graph which are not connected yet each vertex has degree
2.
(Paul Zeitz, The Art and Craft of Problem...