The number of vertices in K is

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

A: See the solution below.

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

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Q: In a tree with 32 vertices, what is the sum of degrees?

A: Vertex is where two or more edges meet . The degree of a vertex is the number of edges originating…

Q: When K100 and C47 share exactly 20 vertices, all of which are consecutive in C47, how many edges…

A: Total number of edges in K100 = (100*99)/2          =  4950 Total number of edges in C47  = 47 If…

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: Let Tbe a tree with 10 vertices. The sum of the degrees of all the vertices in T is

A: We have to find, if a tree with 10 vertices is given then what will be the sum of degrees of all the…

Q: Consider the following figure: a. Input the degree number for each vertex Vertex Degree Vertex A…

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Q: Given the tree below, find the following  a) Which vertex is the root? b) Which vertices are…

A: Here we use basic defnitions of tree

Q: Faces: ? edges: 15  vertices: 9

A: we know that the formula F+E+V=2 for any solid shapes .F=?

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: Show that every graph with n vertices and k edges, n> k has n – k components.

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Q: . A 5-cycle has one edge attached with a vertex of degree 1 to a vertex in the graph. What is the…

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: How many edges does K6have?

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Q: . Find the area of the parallelogram with vertices K(1, 2, 3), L(1, 3, 6), M(3, 8, 6), and N(3, 7,…

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Q: How many vertices have an even degree?

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Q: What is the number of edges in K9 ?

A: Find the number of edges in the complete graph K9 with 9 vertices.

Q: Ka , Ks , Kn? How many edges in

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Q: ) Ifa group of 9 kids have won a total of 100 trophies, then at least one of the 9 kids has won at…

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Q: Pick a set of five vertices of H and draw the subgraph induced by that set of vertices H: X10

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Q: Faces: 20  edges: 30 vertices: ?

A: Given, Face= 20 Let the base be x. We know that, Face= x+2= 20 Therefore, x= 18 We also know that,…

Q: A tree with 8 vertices has edges. O 28 O 7 O 9

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Q: Which of the following vertices are adjacent. 7

A: If two vertices are connected by an edge, they are adjacent Check the given vertices 3 and 2 are…

Q: How many different simple graphs are there om the vertex set [n]?

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Q: Find the sum of the degrees of the vertices of each graph in Exercises 1–3 and verify that it equals…

A: Given graph is

Q: The number of edges in a graph with 12 vertices each of degree 6 is O 72 O 1 O 12 O 36

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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: Determine the number of Hamilton circuits in a complete graph with 12 vertices. O A. 121 O B. 11 O…

A: To determine the number of Hamiltonian circuits in a  complete graph with 12 vertices.

Q: How many edges and vertices are there in KA ? a) 6 Edges and 4 Vertices b) 6 Edges and 5 Vertices c)…

A: Draw a complete graph with 4 vertices, to find the number of edges in K4.  Hence, the complete…

Q: a. How many edges are there in complete graph K4,7 b. How many edges are there in complete graph…

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Q: How many edges does a tree with 10000 vertices have?*<

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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: Which of the following sequences of degrees of vertices in a multigraph has a Euler circuit? A…

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Q: The total degree of a tree with m vertices is (2m-2). True O False

A: •The degree of a vertex v of a graph G is the number of edges incident on v with self loop…

Q: How many guards do you need for a gallery with 12 vertices?  With 13 vertices?  With 11?

A: Given:   12 vertices   13 vertices    11 vertices

Q: 6. Determine the number of edges and the sum of degrees of the vertices in the figure below. Verify…

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Q: (е) а C f е

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Q: If there are 10 vertices in a tree, there must be edges. O 10 O 9 O 11 O 8

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Q: (a) Is it possible to have a forest with 13 vertices and 10 edges?

A: As per bartleby guidelines i can answer only one question at one time, kindly post rest question…

Q: How many edges are there in a tree with 19 Vertices

A: Given: edges in a tree with 19 vertices

Q: 5. Find the number of vertices, the number of edges, and the degree of each vertex in the given…

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Q: How many edges does a tree with 10,000 vertices have?

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Q: Graph with four vertices of degrees 3 3 5 5

A: Graph with four vertices of degrees 3 3 5 5

Q: Which of the following sequences of degrees of vertices in a multigraph has a Euler circuit? A…

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Q: 4. Find the perimeter of rectangle MNOP with vertices M(-2, 5), N(-2, -4), O(3, –4), and P(3, 5). MN…

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Q: (a) How many vertices does it have? (b) How many lateral edges does it have? (c) How many base edges…

A: First we will draw a nonagonal prism

Q: What is the minimum number of links L of an undirected network of N nodes? Select one: O a. 0 O b. N…

A: Graph theory

Q: How many edges are there in a tree with 10 vertices?

A: Note: “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Construct a connected simple graph, that has no circuit, with vertices M, N,0, P, Q, R, S, T, U such…

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