(3) If possible, define graphs with the following properties. If not, explain why. (a) A graph with 5 vertices: 3 vertices of degree 2 and the other 2 of degree 1. (b) A graph with 5 vertices: 4 vertices of degree 4 and the other 1 of degree 3. (c) A graph with 6 vertices: 4 vertices of degree 2 and the other 2 of degree 1.

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

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Q: can you please provide explanations

A: Possible: Graph with 5: 3 vertices of degree 2 and 2 vertices of degree 1. Impossible: Graph with 5:…

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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…

A:

Q: Analyze each graph below to determine whether it has an Euler circuit and, • If it has an Euler…

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Q: (c) Prove that the two graphs below are isomorphic.

A: Given, We will prove these two graphs are isomorphic.

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A: Two graphs are called isomorphic if they have a)Equal number of vertices and edges. b)Same degree…

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

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Q: Find the number of connected components for each of the following graphs. (a) A graph with 8…

A: (a) Given a graph with 8 vertices and 6 edges is shown. Vertex a is connected to vertex b and to…

Q: can someone please help with stating the domain of this graph?

A: Follow the procedure given below.

Q: G: น a X 2 W y 2

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A: Given Data: Let us consider the given characteristics,draw a graph or explain why such a graph does…

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Q: 2. Determine a possible equation to represent the graph shown here. Show process for full marks.…

A: We find the equation of the graph.

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A: The objective of the question is to provide examples of two types of graphs. The first type is a…

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Q: 1. Consider the graph in Figure 1. Which of the following statements hold true for the graph? e1 es…

A: Here figure given below,

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A: The formula for multiple connected component c is, v +f = e + c + 1

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

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Q: b a d e g

A: To find the circuits with in the graph