2. A graph G has 9 vertices. Three have degree 4, two have degree 2, two have degree 1, and two have degree 0. How many edges does G have? Sustino tulos on eadbehethe easter

Q: What is the chromatic number of the above graph? 5 List the vertices in groups with the same color,…

A: Let us start coloring the vertices of the graph so that no two adjacent vertices get the same color.…

Q: 4- 3 C

A: By the theorem of Eulerian graph, a graph is Eulerian graph if and only if degree of each vertex is…

Q: 7. A certain graph G has order 14 and size 27. The degree of each vertex of G is 3, 4 or 5. There…

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Q: C. the directed multigraph D II. Given A. the pseudograph H, H: D: Find the following properties of…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

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A: B is not the ancestor of J so first option incorrect C is the child of B therefore the second option…

Q: 12. For the graph below, find the degree of each vertex. Is there an Euler circuit for this graph?…

A: For the given graph there are 6 vertices, A, B, C, D, E and F. By definition, degree of of a graph…

Q: The graph with vertices of degrees 1,1,2,2,4,4 is: a. bipartite, eulerian and planarb.b. It is not…

A: A graph is Eulerian if all vertices have even degrees. In this case, there are vertices of degree 1,…

Q: 3. A graph G has 15 vertices and 34 edges. Five vertices have degree 7, four vertices have degree 6,…

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Q: Consider the two following graphs and denote the upper graph as G and the lower graph as H. Answer…

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

Q: 20. How many edges has each of the cycle graph C158? A. 155 B. 156 C. 157 D. 158

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Q: A graph has 13 vertices: five vertices are of degree 5, seven vertices are of degree 4, and one…

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Q: A car costs x wholesale. The price the dealer pays is given by the function s(x) = = x-1 – 200 where…

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Q: 17. How many edges has each of the complete bipartite graph K5,13? A. 65 B. 75 C. 55 D. 45

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Q: A given graph will have an Euler Circuit if the graph is connected and it has???a. an even number of…

A: Euler’s theorem:

Q: Suppose a graph G has 1E-23, sax vertices of degree 4, five vertices of degree 3 and the rest have…

A: Given below the detailed solution.

Q: The number of edges in a graph with 12 vertices each of degree 6 is O 72 O 1 O 12 O 36

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Q: Given the order and size of a graph G i.e. 10 and 14 respectively. The degrees of vertices in G are…

A: For the graph G, we have order = 10, size = 14 and degrees of vertices are 2, 3 and 4. Note that,…

Q: OP B EO ON M

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Q: Consider the following graph. B C F Find the degree of each vertex. deg(A) deg(B) deg(C) deg(D)…

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Q: 12) Find an Euler trail for the graph Draw a circle around the starting vertex and a square around…

A: The answer is given as follows:

Q: O Let G be a such that graph with 10 verti ces 8CG) = ACG) = 2 How many edges does G have?

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Q: E D

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Q: Consider the graph: The graph has an Euler circuit because each vertex has an even degree The graph…

A: Firstly, naming the vertex for better understand.

Q: Given a graph G = (V, E) such that V = {1, 2, 3, 4, 5, 6} and |E| = 10. Prove that there exists a…

A: Given - A Graph G = (V, E) such that V = { 1, 2, 3, 4, 5, 6} and E = 10 . To prove - There exists a…

Q: Suppose that 0.3210 approximates 0.3245. How many significant digits does the approximate have? O 3…

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Q: Determine whether the following graph is a bipartite graph. [ HK If yes, specify the disjoint vertex…

A: Given graph isWe know thatA bipartite graph is a graph in which the vertices can be divided into two…

Q: Let A and B cach be sets of N labeled vertices, and consider bipartite graphs between A and B. 1)…

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Q: Given the geometric figure below with vertices and 8 lines: e a. Input the degree number for each…

A: Theorem (1) If a graph has more than 2 vertices of odd degree then it has no Euler paths.

Q: QUESTION 3 How many edges would a complete graph have if it had 6 vertices? О 25 30 O 20 O 15

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Q: The graph G is shown below with the circles representing the vertices labeled A, B, C, and D. Which…

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Q: QUESTION 10 A simple graph where every vertex is adjacent to every other vertex is called a(n). a.…

A: A simple graph where every vertex is adjacent to every other vertex is called a(n)………….. graph  a.…

Q: 1. How many edges does the cycle graph C5 have?

A: In cycle graph, the number of edges is equal to the number of vertices.

Q: The number of edges in a graph with 8 vertices each of degree 7 is O 7 O 56 28 O 14

A: We have to solve given problem:

Q: Let G be a simple connected graph with exactly 8 vertices, one of them has degree 7, and the other 7…

A: Consider G be a simple connected graph with exactly 8 vertices, one of them has degree 7, and…

Q: a.) How many cycles of length 14 are there in the following graph? Explain how you found your…

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Q: 6. How many vertices is there the graph below? How many edges? How many faces? Show that Euler's…

A: the euler formula is given by : number of vertices+ number of faces -number of edges=2