Suppose that in a group of six people A, B, C, D, E, and F, person C knows everybody else, but otherwise only A and E know each other. a) Draw a graph G1 representing who knows whom. There is no need to indicate in this graph that a person knows themselves. b) Draw a graph G2 representing who does not know whom. c) What is the name of the graph G1∪G2?

Q: 9. Which of the following cycles is a bipartite graph? A. C307 B. C105 C. C151 D. C1000

A: Sol

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: The table below lists of five mobile phone companies and indicates whether they have agreements to…

A: The table indicating whether the companies have roaming agreement.

Q: 1. Consider the given graph. (a) Determine the number of vertices of the graph. (b) Determine…

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Q: 29. Let G be a graph with vertex set VG and edge set Ec. Let V C VG and EC EG. Is there always a…

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Q: this graph connected? O Connected ONot Connected

A: Note that the graph is said to be connected if the pair of any two vertices is connected by a path.

Q: number

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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: This graph shows the time taken by two runners to complete the first six laps of a 1500-m race. 350…

A: we observe that in first three laps ,B is taking less time as compared to A ,so B is leading then in…

Q: An edge is called a bridge if the removal of the edge increases the number of connected components…

A: We draw a graph without loop, find number of bridges by removing edges.

Q: Suppose you colored edges of a graph either red or blue (not requiring that adjacent edges be…

A: According to the given information, Let the edges of the graph be coloured with red or blue. It is…

Q: A simple graph with many edges has a label on each edge. The current labels are "a", "b", "c", "d",…

A: We are given a simple graph with many edges that have a label on each edge. The current labels are…

Q: State the number of solutions for each graph below: Graph A 1-83 Pus Graph B Graph C

A: The given question can be solved as shown in step2.

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A: We can draw a simple graph with the given friendship relation between the teenagers. Let the…

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

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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: 5. Draw a directed graph for the relation with coordinate pairs (a, b), (a, d), (b, b), (b, d), (c,…

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Q: In a group of 9 people, there is one people who knows 6 others, and another 3 people who know at…

A: We will solve this problem by using graph theory. Claim:- To show that there are three people who…

Q: 7. Give an example of a simple graph that satisfies the specified conditions or show that no such…

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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: a. A clique in a social network is a group of actors who all have ties to each other. What is the…

A: Kindly refer to Step 2 for the solution.

Q: In the graph below, there are four translators who can speak 2 languages each (3 if you include…

A: Given is a graph showing that there are four translators who speak 2 languages. Now, a company has…

Q: Which of the following is NOT a circuit in the graph? B E F D CC OABFEA OBFDCB O None of the Above

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Q: Consider the following graph, which represents the one-way airfare between five cities.   A B C D…

A: 1.Given that, A, B, C, D and E are vertices to denote the cities and weights on appropriate edges to…

Q: pigeon hole principle

A: Answer (1) E = { (u,v) , u, v ∈ V | person u and V have met each other}(2) degree of a vertex u of G…

Q: We say that two distinct edges in a graph are adjacent if there is a vertex incident to both (the…

A: Solution

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

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Q: 1. Find all 6 subgraphs of the following graph. 22 O

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Q: 5. Draw a 3-regular graph which has 12 vertices and at least one bridge.

A: To find - Draw a 3-regular graph which has 12 vertices and at least one bridge.       Definition…

Q: 2. Say that for any pair of people, they either both know each other, or they are strangers (neither…

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Q: The graph G is a planar connected graph. It has 26 edges, and 19 vertices. How many faces does G…

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Q: 2. In the graph below, determine whether the following walks are trails, paths, closed walks,…

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