3.For the questions, first construct a directed graph using the resulting number as follows:consider each consecutive two numbers as an edge in the graph1-4-1-1– 4 → 9→ 2→ 8→ 3→9→ 6→ 8→ 2→ 5→9→ 9remove the reflexive edges (having same starting and ending nodes) from the graph1-4–1-4–→ 9→ 2→ 8→ 3 → 9 → 6 → 8→ 2 → 5– 9Note that for the duplicate edges, your consider only one of them for the graph. For the duplicate1-4-1-4 → …, we used only one of them in the graph.a) Show the adjacency list of your graph.b) Apply breadth-first search (BFS) algorithm to your graph using any vertex as the source vertex.For the answer, just draw the BFS tree that you obtain after the algorithm terminatesc) Apply depth-first search (DFS) algorithm to your graph using any vertex as the source vertex. Forthe answer, just draw the DFS tree that you obtain after the algorithm terminates

For the given graph as per the edges given, the set of nodes are connected in a direct manner. Then,…

Answered: For the questions, first construct a…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Similar questions

For each graph below determine the minimum number of colors necessary to colorits vertices. Justify your answer, by (i) giving a coloring and (ii) explaining why it is not possibleto use fewer colors. You can represent colors by letters a, b, c, .... To show the coloring, mark eachvertex with its color
Consider a graph with five nodes labeled A, B, C, D, and E. Let's say we have the following edges with their weights: A to B with weight 3 A to C with weight 1 B to C with weight 2 B to D with weight 1 C to E with weight 4 D to E with weight 2 a. Find the shortest path from A to E using Dijkstra's algorithm. (Draw the finished shortest path) b. Use Prim to find the MST (Draw the finished MST) c. Use Kruskal to find the MST (Draw the finished MST) d. What's the difference between Prim and Kruskal algorithms? Do they always have the same result? Why or why not.
1. Suppose you perform a depth first search for the graph { (0,1), (0,2), (0,5), (1,4), (2,3), (3,8), (4,9), (5,6), (5,7), (6,7) }. Let 0 be the source. Assume vertices in adjacency list are ordered smallest int to largest int. A. Show the resulting tree (drawing a picture is best, but listing the edges in the tree is also good). B. Show the non-tree edges (either clearly indicate in picture or list them). C. List the vertices in order of start time. D. List the vertices in order of finish time. 2. Suppose you run breadth first search on the same graph. A. Show the resulting tree (drawing a picture is best, but listing the edges in the tree is also good). B. Show the non-tree edges (either clearly indicate in picture or list them). C. For the non-tree edges, indicate whether they connect a node on the same level or on a different level. D. List the vertices in the order visited (start time).
One can model a maze by having a vertex for a starting point, a finishing point, dead ends, and all the points in the maze where more than one path can be taken, and then connecting the vertices according to the paths in the maze. a. Construct such a graph for the following maze. 鷗 b. Which traversal DFS or BFS- would you use if you found yourself in a maze and why?
A simple directed graph with vertices A,B,C,D,E,F,G has adjacency matrix
A circuit is simple if the graph has no repeated edges. Draw a connected, undirected graph with seven vertices and no simple circuit. How many edges does it have?
Give an example of a graph (with or without weights on the edges) where the betweenness and closeness centrality points are different. The graph must be composed of at least 5 vertices and at most 8 vertices.
2
Consider the following edge-weighted graph with 10 vertices and 17 edges. V-w weight A-B 8. F-A 6. G-B 15 B-F C-B D-C 16 C-G 12 C-H C-I D-I 17 D-E 11 I-E 13 J-E 10 G-F 9. H-G I-H 14 1 I-J Here is a graphical representation of the same edge-weighted graph: (A) -8- (C)------16----- (D)---- --11-----(E) 7|\ 13 10 (F) (G) Give the sequence of edges in the MST in the order that Prim's algorithm adds them to the MST, when starting Prim's algorithm from vertex H. To specify an edge, use its weight.
A graph has the following edge-endpoint function table. Edge Edgepoints {v. v3} e2 {v2 v3} {v3, Va} {va Vs} e4 {v3, Vs} es {v5, Vs) es ez {vs, V7} eg {v, Vs} eg {v2, v;} Based on the preceding table, find the number of edges incident on the designated vertic Number of edges Vertices incident on the vertex V1 V2 V3 VA V5 V6 V7 V8
Consider the following descriptions for one sample of six zones: Z1 matches B or D; Z2 matches C, E, or F; Z3 matches A or F; Z4 matches B or D; Z5 matches C or F; and Z6 matches D. (a) (A-F). Draw the bipartite graph that models the zones (Z1-Z6) and the letters they match (b) district layout. Use Hall's theorem to determine if algorithm will be able to successfully create a
Consider this graph with 11 vertices and 20 edges. Our goal is to colour each of the 11 vertices with one of three colours (Apricot, Brown, Cyan) so that no edge joins two vertices of the same colour. For example, if the vertex 6 is coloured Brown, then the four vertices adjacent to this vertex (10, 5, 2, 7) cannot be coloured Brown, since that would create a Brown-Brown edge. If we can assign a colour to each vertex so that no edge joins two vertices of the same colour, then we say that this graph is 3-Colourable. If this task is impossible (i.e., no matter what, we must create at least one edge joining two vertices of the same colour), then we say that this graph is not 3-Colourable. Determine whether this graph is 3-Colourable. Answer either YES or NO.

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