The subject is discrete math Part III. Determine the number of vertices and edges and find the in-degree and out-degree of each vertex for the given directed multigraph.

Q: When K100 and C47 share exactly 20 vertices, all of which are consecutive in C47, how many edges…

A: Total number of edges in K100 = (100*99)/2          =  4950 Total number of edges in C47  = 47 If…

Q: Determine whether the following graph is bipartite or not. Justify your answer either by giving a…

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Q: Trace the corect paths by drawing a line with a highlighter from Ihe start of the maze to the end

A: We will highlight the path with yellow arrows shown below:

Q: 2. Solve the travelling problem for this graph by finding the total weight of all Hamilton circuits…

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Q: Number of nodes in the given network is 1 6. 3. a 4 d 6. 4 4. 0 7 0 6 5. 5

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Q: determine the number of vertices and edgesand find the in-degree and out-degree of each vertex for…

A: Given: The directed multigraph: To find:  the number of vertices and edges. Also, find the…

Q: For a complete graph, match the number of Hamilton circuits for a given vertices. n = 3 n = 4 6 n =…

A: Hamilton Circuit : A circuit that must pass through each vertex of a graph once and only once. Being…

Q: 1) Determine whether the graph shown has directed or undirected edges, whether it has multiple…

A: Directed graph: A directed graph is a graph in which all the vertices are connected together, where…

Q: Eulerize this graph in the most efficient way possible, considering the weights of the edges. 2 2 2…

A: A graph is Eulerian if all the vertices are of even degree.

Q: Find a Hamiltonion circuit of the following graph: B 10 3 2.

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Q: 5.1. Explain how graphs can be used to model electronic mail messages in a network. Should the edges…

A: # we are entitled to solve only question at a time, please resubmit the other question if you wish…

Q: Consider the floor plan below that has five rooms and twelve doors. a. Represent this as a graph…

A: The doorways of the graph represent the edges of the graph and the rooms and outside are the…

Q: Consider the following directed graph. a. Give the indegree of each vertex. b. Give the outdegree of…

A: The vertices are {a , b , c , d , e} (a) The indegree of the vertex is the number of edges coming to…

Q: If a graph has 10 edges, then what is its size? Answer:

A: Graph Theory:- The order of a graph is its number of vertices |V|. The size of a graph is its number…

Q: What are the strongly connected components of the digraph below? Your answer should consist of a…

A: A graph is said to be strongly connected if every vertex is reachable from every other vertex. The…

Q: The word rock can refer to a type of music or to somethingfrom a mountain. Construct a word graph…

A: To find- The word rock can refer to a type of music or to something from a mountain. Construct a…

Q: Consider the graph below. A C H D.

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Q: Consider the fuzzy graph on vertices a,b,c where o(a)=0.5,0(b)=0.25,0(c)=1 and…

A: It is known that, the complement of a fuzzy graph. G:σ,μ is a fuzzy graph G:σ,μwhere σ=σ and…

Q: If a graph has 8 vertices, then what is its order? Answer:

A: We have given a graph which has 8 vertices. We know that  Order of a graph is cardinality of…

Q: 2. Find the in-degree and out-degree of the vertex d for the given directed multigraph in Fig.3. a)…

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Q: English How many edges does this figure have? It has edges.

A: An edge is a line segment formed by the intersection of two adjacent face. The figure is a…

Q: A. Find the number of vertices, the number of edges, and the degree of each vertex of the following…

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Q: If you reverse all the edges of a directed graph, the strongly connected components remain the same.…

A: STATEMENT: If we reverse all the edges of a directed graph , the strong connected components remain…

Q: Use vertices to describe a path from vertex B to vertex G, passing through vertices A and I, as well…

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Q: B A D C

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Q: What does the degree of a vertex represent in an academiccollaboration graph? What does the…

A: Definition Used-  In a graph, Degree of a vertex is equal to the number of edges that are incident…

Q: . What is the order and size of the join of two graphs?

A: Given: To explain the given statement is given as,

Q: Example 1 Locate the image of AABC with vertices A (-6,5) B (1,2) C (3,7) Reflected over the line y…

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Q: 2) What is the maximum number of edges possible for any bipartite graph between A and B?

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Q: If a planar graph has 18 vertices and 26 edges, how many regions are determined when you draw t…

A: If a connected planar graph G has e edges, v vertices, and r regions, then v-e+r=2. Here,  v=18,…

Q: What is the axis of symmetry of the following graph? O x = 2 X = 3 x = -4 X = -2

A: To find :               The axis of symmetry of the given graph.            The graph of a…

Q: The diagram below shows a directed graph. b a e g f (a) What is the in-degree of vertex d? (b) What…

A: In this question we are asked to find the tail, self loops. Also we need to find whether given…

Q: If a connected graph with 12 edges splits the plane into 4 regions, then how many vertices should…

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Q: Use the directed graph below to answer the following questions: a d b (i) What are the neighborhoods…

A: Consider the given figure. i We have to find the neighborhoods of the vertex c in the graph. Graph…

Q: 3. Find the in-degree and out-degree of the vertex d for the given directed multigraph in Fig.3. a)…

A: For the given graph. The in degree for a is 1. The out degree for a is 3. The in degree for b is 2.…

Q: 13. Referring to the following graph. Find the number of Edges.

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Q: What is the smallest number of edges that must be added to eulerize the given graph?   0 1 2 3

A: Please find the complete answer in next step. Thanks.

Q: 9. 8 6. 5 4 2 3 1

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Q: In Exercises 7-9 determine the number of vertices and edges and find the in-degree and out-degree of…

A: Note : According to our guidelines we can answer only first question ,rest can be reposted 7) Given…

Q: is The number of edges in a complete bipartite graph K5 O 15 O 20 O 30 O 10

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Q: 3 A 2 4 E 3 H F G 5 2. 2.

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Q: Consider a bi-partite graph, B, with two vertex sets of m vertices and n vertices. How many entries…

A: A Bi-partite graph B with vertex set m vertices and n vertices

Q: Example 3 Locate the image of AABC with vertices A (-6,5) В (1,2) С (3,7) Reflected over the line x…

A: given A(-6,5)         B(1,2)       C(3,7)

Q: 1. Given the graphs below, determine the following: a. degree of each vertex b. adjacency matrix,…

A: Since question number 1 has multi parts and we can answer three subparts. So, answered first three…

Q: In order to eulerize the graph below, give the fewest number of edges that need to be duplicated. a…

A: Label the vertices of the given graph. Next we use the process of eulerization of the graph by…

Q: The diagram below shows a directed graph. b d a g f (a) What is the in-degree of vertex d? (b) What…

A: Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want…

Q: What is the minimum number of links L of an undirected network of N nodes? Select one: O a. 0 O b. N…

A: Graph theory

Q: determine the number of vertices and edgesand find the in-degree and out-degree of each vertex for…

A: Given: The directed multigraph: To find:  The number of vertices and edges. We need to find the…

Q: Discrete math problemConstruct a directed network whose vertices represent the…

A: To construct a directed network using  the given conditions.

Q: Are the following directed graphs strongly connected or not? Explain why in detail? 3 4 A

A: A directed graph is said to be strongly connected if there is a path between any pair of vertices in…