c) For the graph below, list the nodes an order that they might be marked as "seen" in a BFS starting from node 0 (note that this is the same as the graph above, just undirected). 1 2 3 4 5
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- 6. Write a source code to implement the BFS algorithm for the graph in the below figure.Also, show its output as the order of nodes visited, and draw your adjacency list.Part 3 - Number is 9 Part 3: Graph TheoryUse your assigned number of vertices from “Part 3” of the “Finite Math Assignment Form: Task 3” supporting document to do the following: F. Create a weighted connected graph with the following characteristics: • The assigned number of vertices are alphabetically labeled starting with A. • Vertex A is not adjacent to vertex G. • At least two vertices have a degree greater than 2. • All weights are greater than 0. • No weights are the same. 1. Identify the degree of each vertex in your graph. 2. Explain whether the graph has an Euler trail, using definitions, properties, or theorems. 3. Describe a path from vertex A to G. 4. Find the total weight of the path from part F3. Show all work.Python Graph Algorithms: Minimum Spanning Trees Note: There are helper functions (see 'required' below), and some of them (like Kruskal's Algorithm, WeightedQuickUnion, and such) can help answering this problem. Problem: Suppose you are an engineer working on designing a road network for a new town. The town has many residential areas and commercial centers that need to be connected efficiently. You decided to represent the town as a connected, undirected graph where each vertex represents a location, and each edge represents a road connecting two locations. The weight of each edge represents the distance between the two locations. To ensure the road network is efficient, you need to find the minimum spanning tree of the graph. However, due to budget constraints, you can only construct roads with a maximum distance limit. You need to determine for how many pairs of locations, the minimum spanning tree of the graph remains the same when the maximum distance limit of a road is increased…
- Task 3. Adjacency List using linked list. Your program must ask the number of vertices and then the list of vertices to store. Afterwards, the adjacent vertices to each of the vertex to store the information. You may consider the following simple graph to test your program. a b d eQ7 Using words or pseudocode, describe an algorithm that, for a unweighted, undirected graph G, determines whether or not the graph is connected. Use DFS(G,v) as a subroutine (that is you don't have to give the pseudocode of the DFS traversal, you can simply call it from your pseudocode.) Make sure that your description is not ambiguous.Graph Theory: Graph theory in computer science uses a graphical matrix with nodes and edges to describe a data structure. These can be used for search trees, game theory, shortest path, and many other applications in math and computer science. An example of an application of a graph in computer science is the data structure used to hole the moves for a checkers game program. Each move can be represented by a node. The edges connecting the nodes are determined by the rules of the game, basically how to get to the node. This is a directed graph, because a player cannot take a move back. So the flow is always in one direction towards the end of the game. Cycles in a graph is when a node can go back to itself. This is not possible in this graph, because a move can only go to another position on the board. The only case where this would be correct is if a player were allowed to skip his turn, or move to the same spot that he is already in. A graph is said to be connected if there is a path…
- 26 Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider the following pair of graphs: X o1:02 48 V3 us V4 If the given graphs are isomorphic, then identify the correct mapping between the sets of vertices of the two graphs. Multiple Choice Aun) = v1, Au2) = v2, luz) = v3, fU4) = V5, and fu5) = v4 uiz Tools AU) = V, Au2) = v3, Auz) = v2, fu4) = V5, and fug) = v4 The two graphs are not isomorphic. 00% Aun) = V1, Au2) = V3, Auz) = v2, Au4) = v4, and flu5) = v5 seD G C E Show the sequences of nodes that result from a depth-first traversal of the graph starting at node C. A. Sequence is: C; G; B; A; D. B. Sequence is: C; D; F; G; A; E; B O C. Sequence is: C; D; F; A; E; G; B D. None of the abovegive the code that implements the following precedence graph, use only COBEGIN and COEND.
- Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider the graph C4. 4. 1 CA 2 Enter the elements of the adjacency matrix of the given graph.Write is the node arrangement based on postorder traversal. Left Data Right X E X X F X5. List/draw all the nonisomorphic connected graphs on 6 vertices. [Hint: Start with all the trees and then add edges one step at a time.