For each of the following characteristics, draw a graph or explain why such a graph does not exist. a. Simple graph with seven nodes, each of degree 3 b. Four nodes, two of degree 2 and two of degree 3 c. Three nodes of degree 0, 1, and 3, respectively d. Complete graph with 4 nodes each of degree 2

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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:…

Q: 2. How many edges has each of the following graphs: (а) (5 рoints) К10: (b) (5 рoints) K,7; (c) (5…

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Q: a bc b a c a bd e d ce e

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Q: a. Graph y = ex and y = 1 + x +x2/2 in the same viewingrectangle.b. Graph y = ex and y = 1 + x +x2/2…

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Q: Which of the following graphs have Euler circults or Euler trals? OA: Has Euler trail. DA: Has Euler…

A: Solution: Given that

Q: When n = 3, there are nonisomorphic simple graphs.

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A: The objective is to create a graph with even vertices and no odd vertices.

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

A: Follow the procedure given below.

Q: 2) For the following graph, determine the minimum degree, and total degree of the vertices.

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Q: 1) Find the degree of each vertex in the following graph

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Q: For the following graphs, mention the degree(s) of each vertex. 6 5 4 3 2 3 4 5 6 7

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Q: c) Represent the graph |z-412 |z|

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Q: Q17. Consider the graph with the following vertices, edges, and weights (weights are stated as the…

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Q: III. In this formula, C₁, C₂, and n are the fixed values, while x is an independent variable. When x…

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

Q: (3) If possible, define graphs with the following properties. If not, explain why. (a) A graph with…

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

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Q: Name the following common graphs:

A: *Answer:  *The graph name is complete graph.  a complete graph is a simple undirected graph in…