A group of friends is represented by the graph at the right. An edge connecting two names means that the two friends have spoken to each other in the last week. Michael a) Have John and Stacy talked to each other in the last week? b) How many of the friends in this group has Steve talked to in the last week? c) Among this group of friends, who has talked to the most people in the last week? John Steve Erin Stacy d) Why would it not make sense for this graph to contain a loop? Ada

Q: er a 4-regular undirected graph that has 5 vertices. How many edges are ther

A: In this question, the number of edges is to be calculated when a 4-regular undirected graph has 5…

Q: Given a graph defined by the following vertex set and edge set, V={A,B,C,D,E,F) E=(AB,BC,BE,…

A: Introduction: The link between lines and points is described by a graph, which is a mathematical…

Q: How many edges does this graph have?

A:

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

A:

Q: 1. Suppose G is a planar graph with four faces of lengths 3, 4, 5, 6. How many edges are there in G?

A: Answer :-  a). Suppose G is a planar graph with faces of length 3, 4, 5, 6. How many edges are there…

Q: For a complete graph, match the number of Hamilton circuits for a given vertices. n = 3 [ Choose ]…

A: For a complete graph, We have to match the number of Hamiltonian circuits or a given vertices. The…

Q: What is the number of edges in K9 ?

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

Q: number

A:

Q: Construct a simple graph that is a tree with vertices P,Q,R,S,T PQ,R,S,T such that the degree of R R…

A:

Q: If a graph has 8 edges, how many vertices does it have?

A: We have to solve given problems:

Q: Given data: 2.1, 2.8, 3.7, 4.1, 4.6, 5.8, 6.3, 7.4, 8.2, 8.5, 9.6, 10.1, 10.3, 10.9, 11.0, 11.8,…

A: Given: Data:

Q: Let G be a complete graph with n vertices. a. How many edges does G have? Explain why. b. What is…

A:

Q: 5. Given the social network among six friends, answer the questions. Jomar James Judiel John Jade a.…

A: Given

Q: Construct a graph that is a tree with vertices P,Q,R, S,T such that the degree of P is 3. What is…

A: Given: The vertices are P, Q, R, S, T and the degree of P is 3 To find:  graph tree using the degree…

Q: Draw the acquaintanceship graph that represents thatTom and Patricia, Tom and Hope, Tom and Sandy,…

A: Acquaintanceship graph: It is a model used to represent the relationship among people. We use a…

Q: If a graph has 10 edges, then what is its size? Answer:

A: Graph Theory:- The order of a graph is its number of vertices |V|. The size of a graph is its number…

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

A:

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

A:

Q: Let K, be the complete graph on n vertices. a) Draw Kn for n = 1, 2, 3, 4, 5. For each, how many…

A:

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

A:

Q: The number of edges for a complete graph K6 is O 20 O 30 O 15 O 10

A:

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

A:

Q: 4. Imagine that the diagram shown below is a map with countries labelled a-g. Is it possible to…

A: Given - Imagine that the diagram shown below is a map with countries labelled a-g.  To find - Is it…

Q: Construct a graph that is a tree with vertices P, Q, R, S, T, U such that the degree of R is 3. What…

A:

Q: A graph with 7 vertices and 10 edges is shown. Vertex a is connected to vertex b, to vertex d, and…

A: According to the given information, First it is required to draw the graph from the given…

Q: Let a graph have vertices q, r, s, t, u, v and edge set {{q, s}, {r, v}, {s, v}, {t, u}} . On paper,…

A: Given: A graph has vertices q, r, s, t, u, v and edge set q, s, r, v, s, v, t, u. To find: a) Degree…

Q: 1. Which of these graphs are trees? а) b) (p f) 2. Which of these graphs are trees? а) b) c)

A: There are two questions given . But according to rules of Bartleby, only the first question can be…

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

A:

Q: Draw a complete graph using five vertices a, b, c, d, e. (5)

A:

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: 2. How many edges has each of the following graphs: (a) K10; (b) K5,7; (c) Ws; (d) the Petersen…

A: We need to find the number of edges in K10,K5,7,W8. (According to Bartleby only first three subparts…

Q: QUESTION 3 How many edges would a complete graph have if it had 6 vertices? О 25 30 O 20 O 15

A:

Q: is The number of edges in a complete bipartite graph K5 O 15 O 20 O 30 O 10

A:

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: Let H be the graph below: (a) How many trees, with vertex set [7], have H as a subgraph? (b) How…

A: NOTE : As per Bartleby guidelines, incase of multiple subparts, only first three are answered.…

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…

A:

Q: Draw a complete graph using five vertices a, b, c, d, e.

A:

Q: 1. Does there exist a disconnected graph of order 10 having 36 edges? Explain.

A:

Q: 1) Is the graph in Fig.1 a) a connected graph? b) a complete graph? c) a tree? d) a weighted graph?…

A: Questions from graph theory.

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

A:

Q: Consider the following portion of the London Tube (Underground) map as a graph with stops as…

A: To find- Consider the following portion of the London Tube (Underground) map as a graph with stops…

Q: of edges in a circulant graph Circ[n, {k,l}] the comand CirculantGraph[n, {k,l}].

A: Given:- Circ[n,{k,l}] To find the number of edges in the circulant graph.

Q: Construct a simple graph that is a tree with vertices P, Q, R, S, T, U such that the degree of U is…

A:

Q: For which values of n does the graph Wn have an Euler circui

A: In the given question we have to find the value of n for which the graph Wn have an Euler circuit.…

Q: Determine whether the following graph is complete or not. If It is complete, determine the number of…

A: Remark: Complete graph: A simple graph is called complete if there exists an edge between every pair…

Q: What is the edge set of the graph? АВ, АС, AD, BC, ВЕ, DE А, В, С, D, E АВ, АС, AD, AE

A:

Q: Let A and B each be sets of N labeled vertices, and consider bipartite graphs between A and B. How…

A: Given : Let A and B each be sets of N labeled vertices, and consider bipartite graphs between A and…

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

A:

Q: Construct a simple graph that is a tree with vertices P, Q, R, S,T such that the degree of R is 3.…

A: