1. Apply Dijkstra's SSAD algorithm to find the shortest distance from vertex 0 to every other vertex in the graph shown in Figure 1 below. For uniformity, when choosing which node to visit next, take them in increasing numeric order. You must show supporting work in the form of a table; see the course website for an acceptable format. You do not need to list the paths in your answer, just the minimum distances. Note: the example in the course notes shows an undirected graph, but the algorithm applies to directed graphs as well, and in the obvious manner.

Help me please: Consider the graph in Figure 20-20. Find the shortest distance from node 0 to every other node in the graph.

Plot the functions x, x2, exp(-x), exp(-x2) on a single graph for x between 0 and 5. Repeat the previous question where you plot the function on four different graphs (two rows and two columns). Please use phyton3 to answer this

data structure (java)

Please provide all the spanning trees possible from the graph below:

Mark Zuckerberg, the CEO of Facebook, has hired you to lead the Facebook Algorithms Group. He has asked you to use various graph algorithms to analyze the world's largest social network. The Facebook Graph has 2.8 billion vertices, with each vertex being a Facebook user. Two vertices are connected provided those two users are "friends". The first decision you need to make is how you want to model the Facebook graph. Determine whether you should use an adjacency-list representation or an adjacency-matrix representation.

There are many applications of Shortest Path Algorithm. Consider the problem of solving a jumbled Rubik's Cube in the fewest number of moves. I claim that this problem can be solved using a Shortest Path Algorithm. Determine whether this statement is TRUE or FALSE. NOTE: if you want to check if this statement is TRUE, think about how the Rubik's Cube Problem can be represented as a graph. What are the vertices? Which pairs of vertices are connected with edges? What is your source vertex and what is your destination vertex? How would Dijkstra's Algorithm enable you to find the optimal sequence of moves to solve a jumbled cube in the fewest number of moves?

: |: Section 3 - Random Forests Decision Trees on their own are effectiev classifiers. The true power, though, comes from a forest of trees -- multiple decision trees working together as an ensemble learner. We create multiple trees, each using a subset of the available attributes, let them each make a guess at the correct classification, and then take the majority vote as the predicted class. Sounds tricky, right? Once again, sklearn to the rescue. We are going to see if a random forest can improve on our decision tree accuracy for the bank data. To begin, we are going to create a Random Forest using the wheat training and test data from the previous section. First, reload our data. 1 # reload the wheat dataset from UCI 2 3 df = pd. read_csv ("seeds_dataset.txt", sep='\\t', engine='python') 4 6 7 df.columns = ['a', 'p', 'compactness', 'length', 'width', 'coeff', 'length_g', 'type'] print (f'Our data has {df.shape [0]} rows and {df.shape [1]} columns') 8 #Mark 70% of the data for…

It's important to evaluate the merits and drawbacks of weighted graphs vs adjacency lists.

11. For the given graph below, use the depth-first search algorithm to visit the vertices and write the sequence of the visit. Start from the vertex "A". At any given vertex, you will visit first the unexplored vertex that has least alphabetical order. с G E F Answer the sequence of visiting the vertices: -_