The graph G1 has 5 vertices, all of degree 2. How many edges does G1 have? The graph G2 has 8 vertices, all of degree k. Also, G2 has 16 edges. What is k?  The graph G3 is a planar graph with 12 vertices and 48 edges. How many regions does G3 have? (Count outside as a region too)

Q: Determine whether the graph shown hasdirected or undirected edges, whether it has multiple edges,and…

A: We have the graph: The graph has undirected edges, as the direction of the edges is not given.

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: 3. Determine if the following graph is a bipartite graph. Write each partite set.

A: A graph G is bipartite if and only if all cycles in G are of even length.

Q: What is a bipartite graph? Describe it in your own words.

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

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Q: ree contains some number of leaves (degree 1 vertices) and four non - leaf vertices. the degree of…

A: Given, tree contains some number of leaves (degree 1 vertices) and four non - leaf vertices. the…

Q: If a graph has 5 edges, how many vertices does it have?

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

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Q: What is the number of edges, the order and degree of each vertex in a graph K-9? What is the number…

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Q: Descrete math. Graph theory

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Q: Discrete math. Graph Theory

A: K-regular graph means each vertex has k degree.

Q: The following graph is k-edge connected. What is the value of k?

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Q: 4. A simple undirected graph has 17 edges, and each vertex is at least of degree 3. What is the…

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Q: 2 3 4 5 6 7

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Q: The graph G is a planar connected graph. It ha

A: Given, the graph G is a planar connected graph. It has 11 edges, and 7 faces.

Q: . How many nonisomorphic directed simpe graphs are there with 4 vertices?

A: According to the given information, it is required to find number of non-isomorphic directed simple…

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

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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: Consider the following graph: A B E D How many vertices are there? How many edges are there? What is…

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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: 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: Vertex

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Q: Give an example of a bipartite graph on 10 vertices that is (a) 2-regular; (b) 3-regular; (c)…

A: (a) 2-regular (b) 3-regular

Q: Consider the following graph. V5 (V3 V4 V2 eg V6 V1 Compute the degree of each vertex. V1 V2 V3 4 V5…

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Q: If a simple graph G is having I1 vertices and 9 edges then its complement graph G will have O 11…

A: Given, number of edges in graph G, EG=9 Number of vertices in graph G, n=11 We know that,…

Q: Determine all bipartite graphs G whose complement G is also bipartite.

A: Let G be bipartite, with bipartitions: B1 and B2. Then any three vertices in B1 will form a triangle…

Q: The graph G₁ has 6 vertices, all of degree 3. How many edges does G₁ have? The graph G₂ has 8…

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Q: A graph G has 8 vertices and 11 edges. What is the total degree (sum of degrees) of this graph?

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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: Determine whether the graph is even,

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Q: an end vertex in graph B an isolated vertex in graph B

A: Given as, B= { 4, 1, 5, 3, 4, 3}

Q: Among connected simple graphs who sum of vertex degrees is 20: (a) What is the largest possible…

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Q: 2. Check whether the following is a bipartite graph or not.

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