A graph has vertices of degree 1,2,3,3, and 8. How many edges does it have?

Q: Does this have 12 vertices? If not, how does that change the drawing and answers?

A: IntroductionGraph: A graph is a visual representation of edges and vertices, or dots and lines.A…

Q: Find the Chromatic Number of K, the complete graph on 17 vertices

A: See the solution below.

Q: The graph G is a planar connected graph. It has 23 edges, and 8 faces. How many vertices does G…

A: I have given the answer in the next step. Hope you understand that

Q: Can a graph have 17 vertices where every vertex has either degree 1 or degree 3 or degree 5? Yes or…

A: Given  A graph with17 vertices  we have to prove that can a graph have 17 vertices where every…

Q: Need help with this question. Please explain each step and neatly type up. Thank you :)

A: Here are five different trees, each with a maximum degree of 3 and at least five vertices. For each…

Q: How many edges does this graph have?

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Q: this graph connected? O Connected ONot Connected

A: Note that the graph is said to be connected if the pair of any two vertices is connected by a path.

Q: How many edges does K6have?

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Q: Suppose a graph, G, has five vertices with degrees 9,8,6,5,4. How many edges does G have?

A: We have to find the number of edges in graph G.

Q: d. Add up all the indegrees, and add up all the outdegrees. What do you notice? Can you explain why…

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Q: A forest contains 39 vertices and 36 edges. How many connected components does the graph have? 72

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Q: Construct a simple graph with vertices T, U, V, W, X, Y whose degrees are 2, 2, 1, 1, 2, 2 What is…

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Q: G. C. What is the degree of vertex E

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Q: An edge is called a bridge if the removal of the edge increases the number of connected components…

A: We draw a graph without loop, find number of bridges by removing edges.

Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

A: Suppose, we have a graph with at least two vertices.

Q: How many faces does the below planar graph contains?

A: A planar graph :

Q: Construct a graph with vertices R,S,T,U whose degrees are 0,0,1,1. What is the edge set?

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

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Q: The graph G is a planar connected graph. It has 22 edges, and 15 vertices. How many faces does G…

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Q: n a graph, if the sum of the degree of all the vertices is 18, then the number of edges are _______…

A: Given: To explain the correct option of the given statement as follows,

Q: Do What is the degree of vertex C?

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Q: The number of edges in a graph with 10 vertices each of degree 7 is O 35 O 14 O 70

A: Given that  Number of vertices of the given graph=10 Degree of each vertices=7 To find Number of…

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: A graph has vertices of degrees 1, 1, 3, 3, and 6. Find the total degree of the graph. How many…

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Q: The Euler's formula v - e + f = 2 holds for all connected planar graphs. What if the graph is not…

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

Q: If a graph has 5 vertices then 'By the Handshaking Theorem', each vertex can have degree 9. True…

A: Given: Statement: If a graph has 5 vertices then by handshaking theorem, each vertex can have degree…

Q: A simple graph has 6 vertices and 12 edges. Each vertex has degree either 2 or 5. How many vertices…

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Q: A forest contains 39 vertices and 36 edges. How many connected components does the graph have?

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Q: How long can a path be in the complete bipartite graph k(m,n)?

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Q: Construct a graph with vertices S, T,U,V whose degrees are 2, 0, 2, 2 What is the edge set? ST SV TV

A: Given: The vertices S, T, U, V and the degrees are 2, 0, 2, 2. To find: Graph the vertices, using…