Consider the directed graph G below a) State the adjacency list for the graph G a) State the adjacency matrix A(G) for the graph G b) Determine the matrix that directly indicates the paths of length 2 in the directed graph G
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- Consider the map of New Islamabad Airport with wings: A-C and arms: a-o Wing -A Wing-C Wing-B Construct a graph for it, Build the Adjacency matrix for graph Eind Euler pathIII. Consider the directed graph described by the following:(a) Draw the graph.(b) Find a directed path from vertex 3 to vertex 6.(c) Find a directed cycle starting from and ending at vertex 4.(d) Find the adjacency matrix of the graph.(e) Does there exist a directed path from vertex 2 to vertex 6?Consider the map of New Islamabad Airport with wings: A-C and arms: a-o Construct a graph for it. Build the Adjacency matrix for graph. Find Euler path.
- Construct a table that displays the number of directed paths of length 1 or 2 between each pair of vertices in the graph shown.Determine the adjacency matrix of the given graph.b.) Determine whether the graph is simple or not. If it is a simple the adjacency matrix of the graph and determine the no. of paths of length 2 that it has.
- Calculate the adjacency matrix for this graph3) Let (V, E) be the graph with vertices a, b, c, d, e, f, and g, and edges ab, ac, bc, bd, be, cd, ce, de, af, df, ag, and eg. (a) Draw this graph. (b) Write down this graph's incidence table and its incidence matrix. (c) Write down this graph's adjacency table and its adjacency matrix. (d) Is this graph complete? Justify your answer. (e) Is this graph bipartite? Justify your answer. (f) Is this graph regular? Justify your answer. (g) Does this graph have any regular subgraph? Justify your answer. (h) Give an example of an isomorphism from the graph (V, E) to itself satisfying that p(a) = a. (i) Is the isomorphism from part (h) unique or can you find another isomorphism that is distinct from but also satisfies that (a) a? Justify your answer.Consider the graph below with vertex set {a,b,c,d,e,f,g}. a Give the adjacency matrix of the graph with lexiographically ordered rows and columns.
- I. Give the adjacency matrix of the graph below. Adjacency Matrix HereDraw the directed graphs of the relation.6. For the directed graph depicted below do the following (a) find the adjacency matrix (b) find the strongly connected components (c) determine whether this digraph is weakly connected, explain your answer e f a C d