How many edges are there in a 3-regular graph with 14 vertices?

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: I have a graph with 2021 vertices. It is not a tree but there exists some vertex whose removal makes…

A: We know that maximum number of possible edges is 3(n-2)

Q: How many connected components does this graph have? What is the total degree of the graph?

A: From the given graph. We say a connected component is when the number of edge is removed then the…

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: If a simple disconnected graph has 7 vertices and 2 connected components what is the maximum number…

A: Given question is If a simple disconnected graph has 7 vertices and 2 connected components what is…

Q: d. A graph with four vertices and six edges which is not simple (explain why it's not simple).

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Q: Suppose a connected planar graph G has 27 vertices. How many edges must G have if there are 16…

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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: 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 you help me find the least number of vertices that make up the secure total dominating set of…

A: Graph theory: secure total dominating set

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: What is the maximum number of edges that a graph with "n" vertices can have, such that the graph is…

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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: Use the pigeonhole principle to prove that a graph has at least two vertices with the same degree

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Q: Show that every simple finite graph has two vertices of the same degree.

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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: There are 8 vertices namely: A, B, C, D, E, F, G, H Make or draw a graph with 2 loops around the…

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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: How many graphs are there on 5 nodes in which every node has degree at most 2?

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Q: Find the number of guards required to cover the entire area of an art gallery with 15 vertices.

A: We need to calculate the number of guards required to cover the entire area of an art gallery that…

Q: Determine the fewest number of different colors needed to color this graph so that every node is…

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Q: In a graph number of vertices are 13 and number of edges are 19, what will be the number of regions…

A: Given that, In a graph number of vertices are 13 and number of edges are 19. we have to find out the…

Q: Draw all nonisomorphic simple graphs with four vertices and no more than two edges.

A: Given: The objective is to draw all the nonisomorphic simple graphs with the four vertices and no…

Q: 15 vertices and 4 components in the graph. What is the minimum number of edges?

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Q: What do the in-degree and the out-degree of a vertex in adirected graph modeling a round-robin…

A: To Define : In-degree and Out-degree of a vertex in a directed graph modeling a round-robin…

Q: Does a 3 regular graph on 14 vertices exist what can you say on 17 vertices

A: graph  problem

Q: If a planar graph has 18 vertices and 26 edges, how many regions are determined when you draw t…

A: We have to solve given problem:

Q: A school consists of 6 separate buildings, represented by the vertices in the graph. There are paths…

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Q: t will be the domina ?

A: Given: Z is a complete graph with n vertices. To find : Domination number of R.

Q: show that every simple finite graph has two vertices of the same degree

A: Solution: Suppose G is a finite simple graph with n vertices.  Since G is simple, no vertex is…

Q: Can a simple graph exist with 9 vertices all of degree 5?

A: Handshaking lemma: In any graph, sum of degree of all the vertices is twice the number of edges…

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

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Q: How many non-isomorphic simple graphs edges? are there with four vertices and 3

A: Detailed explanation mentioned below

Q: 9. (a) Draw a simple graph (no loops or multiple edges) with vertex degrees 2,3,3,3,4,4,4,5 (b) How…

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Q: How many edges does Cn have

A: We know that Cn is a cycle graph on n vertices. The cycle graph Cn is a circular graph with V=0, 1,…