Given the following vertex set and edge set (assume bidirectional edges): V = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} E ={{1,6}, {1, 7}, {2,7}, {3, 6}, {3, 7}, {4,8}, {4, 9}, {5,9}, {5, 10} What is the linked-list based representation of this graph? Assume all edge weights are 1.
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- Consider the following edge-weighted digraph with 8 vertices and 13 edges. V->W weight A->E 1 A->B B->C C->F 4 C->D D->G F->E 39 23 F->B 26 F->A 16 G->F G->C 40 34 H->D 95 H->G 17 Here is a graphical representation of the same edge-weighted digraph: (A) -3---->(B) -39-->(D) 16 95 (E)- -23- (F). 40 (G) (H) Suppose that you run the Bellman-Ford algorithm to compute the shortest paths from H to every other vertex. What is the distTo[] array immediately after the end of three passes of the algorithm (pass 1, 2, and 3)? Each pass consists of relaxing the 13 edges in the order given above. Here is the distTo[] array before the beginning of pass 1: v A B CDE F H. distTo(v] Answer Your answer should be a sequence of 8 integers, separated by whitespace,Given the following vertex set and edge set (assume bidirectional edges): V {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} E={{1,6}, {1, 7}, {2,7}, {3, 6}, {3, 7}, {4,8}, {4, 9}, {5,9}, {5, 10} Is this graph complete? Explain your answer.Given the following vertex set and edge set (assume bidirectional edges): V {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} E ={{1,6}, {1, 7}, {2,7}, {3, 6}, {3, 7}, {4,8}, {4, 9}, {5,9}, {5, 10} Draw the graph with all the above vertices and edges.
- Suppose you have the following graph, what is the correct representation of its edges? O F E= {(A,B), (B,D), (C,B), (E,D), (C,E), (F,E)} E= {{A,B}, {B,D}, {C,B}, {E,D}, {C,E}, {F,E}} E= {(A,B), (B,C), (B,D), (C,E), (D,E), (E,F)} E= {(A,B), (B,A), (B,C), (C,B), (B,D), O (D,B), (C,E), (E,C), (D,E), (E,D), (E,F), (F,E)} None of themConsider the following edge-weighted digraph with 8 vertices and 13 edges. v->W weight B->A B->C B->F 35 30 B->G C->D 50 C->G C->H 15 29 E->A E->B 36 E->F G->F 73 26 G->H H->D 55 26 Here is a graphical representation of the same edge-weighted digraph: (A)(C). -50---->(D) 36 30 3. 15 26 v| >(H) (E) -73--->(F)<-----26-----(G) -55- Suppose that you run Dijkstra's algorithm to compute the shortest paths from E to every other vertex. Give the contents of the distTo[0 array immediately after vertex C is relaxed (not necessarily when the algorithm terminates). Here is the distTo[] array before E is relaxed: V ABC DEF GH distTo[v] Answer Your answer should be a sequence of 8 integers, separated by whitespace.In this task you will work with an undirected Graph G = {V, E}, where V = {f,p,s,b,l,j,t,c,d} and E = {(1,2), (1,3), (3,8), (4,8), (8,9), (1,7), (2,6), (2,3), (5,6), (6,7), (7,9), (8,1)}. Assume that the nodes are stored in an indexed linear structure (e.g., an array or a vector) numbered consecutively from 1 (node f) to 9 (node d). Run, by hand, a depth-first search (DFS) traversal of the graph G, starting at node p. When choosing which node to visit next amongst the possibilities, choose the one that is next in alphabetical order. Give your answer by listing the edges in the order that DFS will select.
- Draw the graph that has V(G) = {v1,v2,v3,v4,v5,v6}, E(G) = {e1,e2,e3,e4,e5,e6,e7,e8,e9,e10} and edge - endpoint function as shown. Scan or photograph your graph and upload the file. Edge Endpoints e1 {v1,v2} e2 {v2,v3} e3 {v1,v4} e4 {v2,v4} e5 {v1,v5} e6 {v2,v6} e7 {v3,v5} e8 {v3,v6} e9 {v4,v5} e10 {v5,v6}Let G be a graph whose vertices are the integers 1 through 8, and let the adjacent vertices of each vertex be given by the table. Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in the same order as they are listed in the table below. Vertex Adjacent vertices 1 2 3 4 5 6 7 8 (2,3,4) (1,3,4) (1,2,4) (1,2,3,6) (6,7,8) (4,5,7) (5,6,8) (5,7) a) Draw Gb) Order the vertices as they are visited in a DFS traversal starting at vertex 1. c) Order the vertices as they are visited in a BFS traversal starting at vertex 1.Q9A. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = = {{a, b}, {a, c}, {a, d}, {a, f}, {b, c}, {b, f}, {c, d}, {c, f}, {d, e}, {d, f}} b a C d e Which of the following is true about Hamiltonian cycles and paths for the graph? The graph has a Hamiltonian path but not a Hamiltonian cycle. The graph has a Hamiltonian cycle but not a Hamiltonian path. The graph has a Hamiltonian cycle and a Hamiltonian path. The graph has neither a Hamiltonian path nor a Hamiltonian cycle.
- Given the following set of vertices V and set of edges E. V = {p, q, r, s, t, u} E = {(p,q), (q,r), (r, s), (t,p), (q,t), (r, t), (t,u)} Which of the following is correct? Select one: A.There are 7 vertices B.There are 7 edges. C.The degree at vertex p is 7 D.The total degree of all vertices is 72. Use the following description of an undirected graph and draw the graph: v(Graph1) = { A, B, C, D} E(Graph1) = { (A,B), (A,D), (B,C), (B,D) }A graph is encoded in the following form graph = [[2,4],[2,3,4],[0,1],[1],[0,1],[7],[9],[5],[0,[6],[12,14],(0,[10],0,[10],[19],[18],[],[16],[15],[23], [23],0.[20,21],[],(0,[27],[26],[],[],[34],[33,34],[],[31],[30,31],[38,39],[37,38,39],[36],[35,36],[35,36], [43],],0,(40],(0,[49],[47,48,49],[46,48,49],[46,47,49],[45,46,47,48]] Which of the following statement best describes the encoding. O A. [2,4] encodes the adjacent vertex 2 and vertex 4. B. The encoding has errors as there are duplication such as [0,1], [0,1] O C. The graph contains a number of vertexes that do not have any adjacent vertices. D. [2,3,4] encodes the vertex 1 has adjacent vertex 2, vertex 3 and vertex 4.