Determine if the following simple graphs exist. If so, draw such a graph. If not, explain why it does not exist. (c) A simple graph with 6 vertices of degree 1,1,1,1,2,2. (d) A simple graph on 6 vertices of degree 1,1,2,3,3,6.

Q: Determine whether the two graphs are equivalent.

A: Two graphs are equivalent if they have the same sets of the vertices and the same set of edges. In…

Q: A E B C Answer following questions based on the graph above: What is an in-degree of vertex B? What…

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Q: 3. ..) Determine if the following simple graphs exist. If so, draw such a graph. If not, explain why…

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Q: 3. In the following, draw a graph having the given properties or explain why no such graph exists.…

A: To find- In the following, draw a graph having the given properties or explain why no such graph…

Q: Determine if the following simple graphs exist. If so, draw such a graph. If not, explain why it…

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Q: . For each graph, determine the number of edges, the number of vertices, the number of vertices that…

A: Since you have posted multiple questions and we can answer one question. So, answering the first…

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Q: Draw  (i) a simple graph,  (ii) a non-simple graph with no loops

A: (i). Simple graph:      A simple graph is a graph that does not contain more than one edge between…

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Q: Determine if the following two graphs isomorphic? If so give the 1-1 correspondence between their…

A: We know two graphs are isomorphic if we can find a one-to-one correspondence between the vertices.…

Q: What kind of symmetry do the graphs have, if any?

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Q: draw the graph or explain why the graph cannot exist: (a) A simple graph on 5 vertices with 12…

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Q: Draw a graph with four odd vertices and at least one loop ... Choose the correct graph below. A. OB.…

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Q: For the graph on the right, a. Determine if the graph must have Hamilton circuits. b. If the graph…

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Q: 7) Sketch an undirected graph with the following vertex degrees 2,2,1,1 if it exists 8) Sketch an…

A: Degree sequence is decreasing sequence of degrees of vertices.

Q: Q5B. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {{a, b},…

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Q: Does there exist a simple connected graph with vertices of the following degrees? If so, draw the…

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Q: Construct a graph based on the information given by the table. Then, analyse your graph and state…

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Q: there exists a graph with the following degrees: (a) 0, 2, 2, 2, 4, 4, 6; (b) 2, 2, 3, 3, 4, 4, 5.…

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Q: Could there be a graph with four vertices of degree 1,2,5 and 4? Explain why no such graph exists or…

A: To verify whether a graph with 4 vertices of degree 1,2,5 and 4 exist or not.

Q: For the graph on the right, a. Determine if the graph must have Hamilton circuits. b. If the graph…

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Q: Give an example of obtaining the complete graph?

A: A graph is a complete graph if  each pair of graph vertices is connected by an edge. The complete…

Q: 10.  For each of the following, draw the graph or explain why the graph cannot exist: (a) A simple…

A: Given below the detailed solution

Q: draw the folowing: a.k3 b.a 2-regular simple graph c.simple graph with v=5&e=3 d.simple…

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Q: 2. Is the following graph a connected graph? Explain how you know. 5 1 6°

A: Graph theory

Q: Draw the following: a. K3 b. a 2-regular simple graph c. simple graph with p = 5 & q = 3

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Define the graph by identifying its vertices, edges, degree of vertices and degree of the graph. 2 3

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Q: 3. For the graphs below, determine (a) the number of edges in the graph, (b) the number of vertices…

A: Hello, thanks for your question but according to our policy I am answering the first three subparts…

Q: Draw the following: K3           a 2-regular simple graph             simple graph with ν…

A: You have asked multiple questions. As per our guidelines we can answer only first three questions.…

Q: (c) A complete graph with two connected components.

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Q: Consider the graph given below. a. What is the degree of vertex g? b. What is the degree of vertex…

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Q: kindly draw the following: a. Complete graph with 4 vertices b. Cycle with 3 vertices c. Simple…

A: A complete graph with 4 vertices.

Q: Which of the following is another way to represent the graph shown. De

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Q: Consider the graph below. Find the shortest path and shortest distance from vertex a to all the…

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Q: Label the vertices of the second graph so that it is equivalent to the first graph.

A: Given graphs are,

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Q: 1. Determine if the graph is a simple graph. If it is not a simple graph, explain why. a K1 y Write…

A: Here we use the basic definition of simple graph

Q: Identify the TWO types of graph that could be used to display the following:

A: Identify the TWO types of graph that could be used to display the following:

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Q: (i) Show that there are exactly 2×a-1)2 labelled simple graphs on n vertices.

A: To show : there are exactly 2nn-1/2 labelled simple graph on n vertices. Since, for each vertex have…

Q: Kindly draw the following: 1. A simple disconnected graph with 3 vertices.

A: As per honor code, we are entitled to solve only 1 question at a time so I am providing you the…

Q: A simple disconnected graph with 3 vertices. A graph that is not simple. A simple graph with 2…

A: Simple graph- A graph with no loops and no parallel edges is called a simple graph.…

Q: . Determine if the following graphs are isomorphic or not? If yes, show how are they isomorphic. If…

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Q: MCS101 MCS102 MCS100 MCS110 MCS135 MCS120 MCS130

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Q: Find the union of the given pair of simple graphs.

A: Concept Used:- Union of two simple graphs G1 =(V1 ,E1 ) and G2 =(V2 ,E2 )  is a simple graph with…

Q: se at a ses tha are its prerequisites. How can a graph be used to model these courses and which…

A: Since you posted 2 questions here, i can answer only one. Please repost Q 10 again. Thank you