Determine the order of graph traversal using DFS starting from F with clockwise direction!

Write a program for depth-first traversal on the following graph using the algo-rithm defined in this week

How many entries would the adjacency list representation for the following graph contain? (Assume that the array slots for each vertex count as one entry, and the linked list nodes for edges each count as one entry as well.) D B E A F G

Minimum Spanning Trees (MST): Finding a Minimum Spanning Tree for the following graph based on each of the following algorithm. You need to show the procedures step-by-step. You could directly draw the final MST but indicate the sequence of your search by writing a series of letters, i.e. (a), (b), (c)... under the edges of the MST. This type of answer is preferred. Or else, you need to draw a graph for each step separately. Kruskal’s algorithm. Prim’s algorithm (start with the node ‘ORD).

Question 16 Find the list of vertices following the breadth-first traversal of the graph below starting from vertex A. ( Note: when two or more nodes are equally as likely to be selected, select the one that comes fırst alphabetically). Enter your answer as a list of nodes with no space (or any other separator) between them. J D (A E

Q1. Apply Merge Sort and Quick Sort to the list, C , 0 , M , P, U , T,E,R in alphabetical order. Q2. Find the topological sorting problem for the given graph. а) f a C Th e b) a b. C d

In Python

Correct answer will be appreciated.else downvoted.

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

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

Show what the final distance and previous array values will be after running the shortest path algorithm from class on the following graph, starting at vertex 2: 1 6 5 4 4 4 2 7 0 5 5 6 2 2 3 13 6

It is important to investigate and contrast the advantages and drawbacks of weighted graphs and 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: -_