23. If a planar drawing of a graph has 15 edges and 8 vertices, how many faces does the graph 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: D By naming the vertices in order, state three different Aniongles. that are similar to each other.

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Q: 7. Is this the graph G planar? If so, then determine the faces and the edges.

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Q: In a simple graph there can two edges connecting two vertices. True O False

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Q: A square with two diagonals drawn is a complete graph. True False

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Q: 2. Show that there is no simple graph with six vertices of which the degrees of five vertices are 5,…

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Q: Can the following graphs drawn in plane without edge crossings? a

A: Given: Graphs, To determine: Whether the given graphs can be drawn without crossing.

Q: Show that in a simple graph with at least Two vertices there must be two vertices that have the same…

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Q: An undirected graph is called complete if every vertex shares and edge with every other vertex. Draw…

A: Complete Graph:Every vertex shares an edge with every other vertex.Denoted by Kn, where n is the…

Q: A 4-partite graph is bipartite. True or False

A: False

Q: 3. Determine the edge connectivity and the vertex connectivity of the following graph. Explain.

A: The vertex connectivity is the minimum number of vertex required to remove from graph to make graph…

Q: construct a graph with vertices Q,R,S,T whose degrees are 3,2,2,1  what is the edge set?

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Q: 2) We have the graph C7 a) Determines the number of edges the graph has C7. b) Draw a graph C7.

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Q: 2. Is it possible for a connected graph with 7 vertices and 11 edges to be drawn so that no edges…

A: (2) Consider the provided question, Graph with no edges crossing means that it should be a planar…

Q: What is the most edges a graph can have if it has p vertices and has a bridge?

A: Given: A simple graph with p-vertices.

Q: 14) Convert y = x- x-12 to vertex format.

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Q: 18. What is the maximum number of edges for a simple graph with 8 vertices? O 26 О 31 O 30 28

A: The formula for this I believe is n(n-1) / 2 where n = number of vertices

Q: Construct a simple graph with vertices L, M, N, O, P, Q whose degrees are 1, 2, 4, 3, 4, 2 What is…

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Q: A simple graph with many edges has a label on each edge. The current labels are "a", "b", "c", "d",…

A: We are given a simple graph with many edges that have a label on each edge. The current labels are…

Q: A graph with eight vertices and seven edges is not connected. True False

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Q: A graph has 13 edges. What is the sun of the degree of all the vertices of this graph?

A: A graph has 13 edges. What is the sun of the degree of all the vertices of this graph?

Q: Suppose we are told that a connected graph cuts the plane into 211 regions. How many more edges than…

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Q: Can a graph with nine vertices and nine edges exist? Explain wy no such graph exists or draw the…

A: To verify whether a graph with 9 vertices  & 9 edges exist or not.

Q: If G1 is a simple graph with 20 edges and G has 25 edges, how many vertices does G1 have?

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Q: 3. Show that the following graph is planar: Without changing the vertex-set, what is the maximum…

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Q: Draw, to the best of your ability, the graph that represents the following: Draw a graph that is the…

A: We have to draw, to the best of your ability, the graph that represents the following: Draw a graph…

Q: Vertices should be named by the letters in the alphabeth : A, B, C, D, E, F, G, H and so on Edges…

A: A graph is n-regular if the degree of each vertex is same with n vertices.

Q: Suppose a graph has vertices of degree 0, 2, 2, 3 and 9. How many edges does the graph have? Provide…

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Q: 11. Can the following graph be properly coloured?

A: Step 1:We must examine the vertices and their connections to ascertain whether the graph may be…