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- Weighted Graph Applications Demonstration Java Data Structures. Figure 29.23 illustrates a weighted graph with 6 vertices and 8 weighted edges. Simply provide: Minimal Spanning Tree as an illustration or a textual list of edges (in our standard vertex order). Single-Source Shortest Path route from vertex 0 to the other 5 (described as one path/route for each). draw the two solutions and attach the illustration or describe them in text (a list of edges for the one and the vertex to vertex path the other). You can therefore attach proper content files with dot txt, png, jpg or jpeg extensions Be sure the final trees or path lists are clearly visible in your solution. You don't need to show the solution development or progress, just the result.Q7 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.Exercise # 4: Level of each node in the graph How to determine the level of each node in the given graph? As you know, BFS involves a level-order traversal of a graph. Hence, you can use BFS to determine the level of each node as well. S Level 0 1 Level 1 Level 2 3 4 5 6. Level 3 Exercise # 4a: Write a function nodes_of_level(G, level) that takes a graph and level number as input and returns a list of all the nodes that are on the given level. Example 1: Input Adjacency list representation of graph shown above. level = 1 Output [1, 2] Example 2: Input Adjacency list representation of graph shown above. level = 2 %3D Output [3, 4, 5, 6] 9, 2.
- Draw two different spanning trees for the graph below: 4 2 5 3 2 7 5 6 Note: You have to draw spanning trees; they do not have to be minimum spanning trees.6 591 9 1 75 1 3 10 8 8 5 8 G746algorithm GenericSearch (G, s) pre-cond: G is a (directed or undirected) graph, and s is one of its nodes. post-cond: The output consists of all the nodes u that are reachable by a path in G from s.
- Assume you are to write a program to analyze the social connection between students in MTSU. Each student is a node in a undirected graph. An edge is added between two nodes if these two students have close social connections, i.e., in the same club, or in the same department. Which would be a better representation for this graph? Question 45 options: adjacency matrix representation adjacency list representationI A E H F В G Suppose you run a topological sort on the shown graph starting at vertex B. Use the rule that when DFS has a choice of nodes to visit, it visits them in alphabetical order. What's the first vertex in the resulting topological order? What is the second? What is the third? What is the fourth?Consider the graph below: A B Show the sequences of nodes that result from a depth-first traversal of the graph starting at node C. O 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 above
- Graph Transversal Simulation: For this graph write down the order of vertices encountered in a breadth-first search starting from vertex A. Break ties by picking the vertices in alphabetical order (for example, A before Z)What is the Edges of the minimum spanning tree of the graph shown below?Kruskal's minimum spanning tree algorithm is executed on the following graph. Select all edges from edgeList that belong to the minimum spanning tree. edgeList result List AD BC BE CF EF DG EG EH GH D 7 9 G 1 B 5 3 A E H 4 2 6 8 F