There are _____ number of vertices in a graph 6 edges if each vertex is of degree 3.   a. 3     b. 4     c. 5     d. 15

Q: Consider the graph as shown in figure and determine the following: Pendant vertices, pendant edges,…

A: 1. Pendant vertices are d,e,f,g Pendant edges are ad edge,eb edge,fb edge,gb edge, Odd vertices are…

Q: A graph with 15 edges with 5 vertices having degree 2. The other vertices have degree 4.

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Q: 1. In a complete graph with 5 vertices, how many triangles are there? (Remember: a triangle has 3…

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Q: How many vertices do the following graphs have if they contains a) 16 edges and all vertices of…

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Q: D Consider the graph given above. Add an edge so the resulting graph has an Euler trail (without…

A: Consider the graph alove . Add an edge so the re pulcing graphh al an eu er thaieIn graph theory ,…

Q: How many edges will be there in a complete graph with 13 vertices.

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Q: A graph has vertices of degrees 0,2,2,3, and 9. How many edges does the graph have?

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Q: If a graph has vertices of degrees 1, 5, 2, 3, and 3, how many edges does it have? Why?

A: We are given a graph that has vertices of degrees 1,5 ,2, 3,3 Now, by Handshaking lemma we have: Sum…

Q: 15. (a) Suppose a graph has 5 vertices and 7 edges, and every vertex has degree 2 or 3. How many…

A: The handshaking theorem states that the sum of the degrees of all vertices in a graph is twice the…

Q: The number of edges in a graph with 12 vertices each of degree 6 is O 11 36 12 72

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Q: 1) Determine whether the graph shown has directed or undirected edges, whether it has multiple…

A: Directed graph: A directed graph is a graph in which all the vertices are connected together, where…

Q: If a graph has five vertices of degree 7 and eleven vertices of degree 3, and no other vertices, how…

A: according to question,  given graph has five vertices of degree 7 and eleven vertices of degree 3…

Q: If a complete graph has degree 3 for each vertex, then how many diagonals are in the graph? * 2 O 5

A: Given graph is complete and each vertex has degree 3.

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: 8. Please find the vertex and edge sets of the following graph Vy ez ez

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Q: A graph that has no edges is called a(n). graph. O a. null b. component c. incident d. adjacent e.…

A: Given A graph has no edges.

Q: 37. Consider Graph A and B are isomorphic. If vertex E of Graph A corresponds to vertex 2 in Graph…

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Q: 1.1 How many simple graphs are there of four vertices? Draw all of them.

A: As per our guidlines we are supposed to solve only one question that is the first problem. For the…

Q: How many vertices will the following graphs have if they contain: (a) 12 edges and all vertices of…

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Q: What vertices are on each level in this graph, if we take s = 2?

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Q: In which of the following graph can red or blue be assigned to the vertices such that no two…

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Q: 11. Either draw a graph with the specified properties or explain why no such graph exists. (1) Graph…

A: As per our guidelines I am solving only 1st 2. For others kindly resubmit the question mentioning…

Q: QUESTION 14 Total number of edges of a complete graph which has 9 vertices is 36 edges None 12 edges…

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Q: How many cycles of length 4 (i.e. 4 edges) are in the complete graph Kg? Note: the cycle 1-2-3-4-1…

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Q: Draw a graph that represents this information where each vertex represents a student and an edge…

A: In the graph the vertex represents student and edge indicates two students study together.

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: 5. The number of edges in a regular graph of degree 46 and 8 vertices is a) 347 b) 230 c) 184 d) 18

A: Lets find number of edges.

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

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Q: 16. How many edges has each of the complete graph Kso? A. 1235 B. 1245 C. 1225 D. 2450

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Q: 3. How many vertices and how many edges do each of the following graphs have? | a) K4 a. C. c) W.

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Q: The number of edges in a graph with 11 vertices each of degree 4 is 44 O 22 O 8 O 10

A: Graph - number of edges

Q: Consider the following graph that represents Facebook "friends": Joe Bill Jose Amit Mary Find the…

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Q: Which graph represents the adjacency lists of the following table. |Adjacent Vertex Vertices b, c c,…

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Q: 4. How many edges in the union of the graphs in Fig.1 and Fig.5? a) 25 b) 23 c) 21

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Q: Create a graph with six vertices and exactly two bridges. Which of the following graphs has six…

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Q: In a graph, there are 17 edges, 3 vertices of degree 2, and all the other vertices have degree 4.…

A: We are authorized to answer one question at  a time, Since you have not mentioned which question you…

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: In a connected planar graph drawn with no intersecting edges, if there are 3 vertices and 8 edges,…

A: We can use the Eulers formula for the planar graph to find the number of faces.

Q: 1? In the following graph, how many vertices are there in the degree 1.5 egocentric graph centred on…

A: Given 1.5 egocentric graph. From the graph: Total number of nodes in the graph=12. Number of…

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: Model the following problem into a graph coloring problem: Each of the following five committees…

A: Given: Committee A={Smith, Jones, Brown, Green} Committee B={Jones, Wagner} Committee C={Harris,…

Q: a. Given a forest consisting of 3 trees and 20 vertices. how many edges are there? b. Given a…

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Q: ve the problem. raph has 5 vertices: four vertices of degree 3 and a vertex of degree 2. How many…

A: Here we have to find the number of edges in given graph.

Q: Question 4. Let K, be the complete graph on n vertices. How many edges does it have? Justify your…

A: Given that, the complete graph kn has n vertices. Number of the edges of this complete graph=nn-12

Q: Draw a graph with four vertices in which two vertices are of degree 2 and two vertices are of degree…

A: We have to solve given problem:

Q: The following graph has a Hamilton circuit: 2 13 7 9. 11 10 14 13 12 15 17 16 O True False 00

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Q: 2. How many edges in the subgraph induced by the set {c, a, d} of the graph in Fig.2? a) 7 b) 13 c)…

A: As the subgraph contains only vertices c, a, d . So we will not count any edges induced towards b…

Q: Answer the following questions based on the given graph. B D. E F H. Number of vertices of the given…

A: A graph is given. We need to answer the given questions based on the given graph. The solution is…

Q: The number of edges in a graph with 10 vertices each of degree 5 is O 10 O 25 O 50

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Q: Is it true that the graph below must have Hamilton circuits? If so, determine the number of such…

A: We now check whether the given graph have a Hamiltonian circuit or not. If the graph have any…