2. Let G = (V, E) be a directed weighted graph with the vertices         V = {A, B, C, D, E, F) and the edges E= {(A, B, 12), (A, D, 17), (B, C, 8), (B, D, 13), (B, E, 15), (B, F, 13), (C, E, 12), (C, F, 25)}, where the third components is the cost. (a) Write down the adjacency list representation the graph             G = (V, E).

Q: ..., Vn} Let G be an undirected, connected graph with vertex set V(G) = {v₁, v₂, ..., and edge set…

A: 1. Option 1 is false as a vertex may be formed from more than 1 on edges as well. So number of 1 in…

Q: Draw the graph G = (V, E) with a vertex-set V = {1,2,3,4}and edge-set E =…

A: Given :- Draw the graph G = (V, E) with a vertex-set V = {1,2,3,4}and edge-set E =…

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A:

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A: An edge is called a bridge if the removal of the edge increases the number of connected components…

Q: Compute the vertex set V and edge set E of the graph G=(V,E) whose Prufer Code is (1,2,3,4,5,5)…

A: Vertices in the graph would be equal to the number of terms in prufer code +2.

Q: the graph G = (V,E), %3D V = {(0,0,0), (0,0,1), (0,1,0), (0,1,1), (1,0,0), (1,0,1), (1,1,0),…

A: According to the condition for  E, we have to find the vertices set . consider (0,0,0) and (0,0,1),…

Q: 1. Draw an undirected graph using the following set of edges.…

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Q: Construct a graph with directed and weighted edges in java

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Q: How do I do this?  We say a graph G = (V, E) has a k-coloring for some positive integer k if we can…

A: Given: How do I do this?  We say a graph G = (V, E) has a k-coloring for some positive integer k if…

Q: Suppose that d 1, d2, ... , dn is a degree sequence. Show that there is a simple graph with vertices…

A: Answer :

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A: SUMMARY: - hence, we discussed all the points.

Q: Q4/ Consider the directed graph G1 with the set of vertices (A; B;C; D; Eg and eight weighted edges,…

A: We have 5 vertices (A,B,C,D,E). We have 8 directed edges also. We need to create a directed graph…

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A: The Minimum Spanning Tree (MST) algorithm is a graph algorithm that finds the minimum weight…

Q: 5. True or False: If G is a complete graph (i.e. each pair of vertices is connected by an edge)…

A: 4. Size of B(G) is θ(n*m) This is because the matrix has n rows and m .columns

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A: In this question we have been given with the graph and we have to answer for the graph theory…

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Q: c. Below an adjacency list representation of an undirected graph where there are no weights assigned…

A: An undirected graph is a set of nodes and a set of links between the nodes.

Q: G be a connected graph in which only one node have degree > '1' and rest of nodes are of degree '1'.…

A:

Q: 4. Run the Bellman-Ford algorithm on the directed graph given blow, using vertex z as the source. In…

A: please see the next steps for solutions.

Q: Exercise 4. Let D be a digraph. 1. Suppose that 8+ (D) ≤ 1 and let C be a cycle in D. Show that C is…

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Q: construct a graph with vertices E,F,G,H,I whose degrees are 2,2,3,3,4 what is the edge set?

A: Construct a graph with vertices E,F,G,H,I whose degrees are 2,2,3,3,4

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A: Euler Graph: A linked graph created by Euler. If there is a closed trail that contains every edge of…

Q: 3. For the graph G= (V, E), find V, Ene all parallel edges, all loops and all isolated verfices and…

A: Solution 1: no given any self loop.

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Q: 3. Construct a graph with connectivity (kappa) =1 and edge connectivity (kappa') = N, where N is any…

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Q: 5. For the following graph G with edges (1,2), (2,3), (3,4), (4,5), (5,6), (6,7), (7,8), (8,9),…

A: Introduction:

Q: Draw a simple undirected graph G that has15 vertices, 15 edges.

A: Given:  vertices=15 edges=15

Q: In the Given graph G=(V, E), find Shortest paths among all pairs of vertices by using Floyed…

A: Given: V={a, b, c, d, e} E={(a, b, 3), (a, c, 8), (a, e, 4), (b, d, 1), (b, e, 7), (b, c, 4), (d, c,…

Q: Given the following undirected unweighted graph G(V, E). a C What is E? b d e

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Q: Construct a simple graph with vertices A,B,C,D,E,F whose degrees are 3, 1, 1, 2, 3, 2. (For example,…

A: vertices A,B,C,D,E,F whose degrees are 3, 1, 1, 2, 3, 2. 1,2,1 has edge set

Q: 3. Draw a connected graph with 4 vertices, each of degree 3.

A:

Q: Given a graph data structure: G = (V,E) where, V = {A, B, C, D, E } E = { (A,B), (A,D), (B,D),…

A: a) Drawing the graph G:``` A / \ B D / / C E ```b) Spanning trees of the graph…