7. Give an example of a simple graph that satisfies the specified conditions or show that no such graph exists. You only need to answer two of these correctly. I. A tree with 5 vertices and 3 edges II. A disconnected graph with 5 vertices and 5 edges III. A connected graph with 5 vertices and 4 edges

Q: Determine whether the graph shown hasdirected or undirected edges, whether it has multiple edges,and…

A: We have the graph: The graph has undirected edges, as the direction of the edges is not given.

Q: 3. Determine if the following graph is a bipartite graph. Write each partite set.

A: A graph G is bipartite if and only if all cycles in G are of even length.

Q: 3. Either draw a graph with the specified properties or explain why no such graph exists. a. Graph…

A: Given problem is :

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

A:

Q: Can an (6,4)-graph is connected.

A: (6, 4) graph has 6 vertices and 4 edges. Now, any graph with n vertices will be connected if there…

Q: How many edges does Ks have? Kn in general?

A:

Q: 3. You want to spend the 60 minutes making some desserts for your 8 friends. It will take you 5…

A: Given- You want to spend the 60 minutes making some desserts for your 8 friends. It will take you 5…

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

A:

Q: . How many nonisomorphic directed simpe graphs are there with 4 vertices?

A: According to the given information, it is required to find number of non-isomorphic directed simple…

Q: 4. A complete graph with eight vertices. 5. Not connected graph with seven vertices.

A:

Q: Consider the floor plan below that has five rooms and twelve doors. a. Represent this as a graph…

A: The doorways of the graph represent the edges of the graph and the rooms and outside are the…

Q: 18. What is the maximum number of edges for a simple graph with 8 vertices? O 26 О 31 O 30 28

A: The formula for this I believe is n(n-1) / 2 where n = number of vertices

Q: Below, graph always refers to an undirected graph; directed graphs are called digraphs. 1. By…

A: Note that in an undirected graph G, a proper coloring of vertices is one in which no two adjacent…

Q: 18. Determine how many vertices and how many edges the graph has. A F B E D

A: The objective is to find the number of vertices and edges in the given graph. Vertices are the…

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

A:

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: 1. In the sketch below is the floor plan of a house showing the rooms and the doorways. Is it…

A: It is impossible   1. Suppose you have drawn such a line and follow      it from one room to…

Q: You have a simple graph G with three vertices and three edges. How many subgraphs can be made from…

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Q: A. Find the number of vertices, the number of edges, and the degree of each vertex of the following…

A:

Q: Draw, to the best of your ability, the graph that represents the following: Draw a graph that is the…

A: We have to draw, to the best of your ability, the graph that represents the following: Draw a graph…

Q: 11. Can the following graph be properly coloured?

A: Step 1:We must examine the vertices and their connections to ascertain whether the graph may be…

Q: Q16. Consider the graph with the following vertices, edges, and weights (weights are stated as the…

A: Weight of the minimum spanning tree using Kruskals Algorithm

Q: n a graph, if the sum of the degree of all the vertices is 18, then the number of edges are _______…

A: Given: To explain the correct option of the given statement as follows,

Q: 1. Make a graph representation of the following little league schedule, considering the two…

A:

Q: 1. Consider the following graph: eg U5 e3 e7 es Ove e2 v3 es (b) Find all edges that are incident…

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Q: What is the number of edges in a forest with 50 nodes and 10 components? Your answer should be an…

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Q: 2. Check whether the following is a bipartite graph or not.

A:

Q: Define the graph by identifying its vertices, edges, degree of vertices and degree of the graph. 2 3

A:

Q: 6. Draw the complete bipartite graph K4,5 and it's complement. Find the number of vertices |V| and…

A: The complete bipartite graph K4,5 is shown below

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

A: We will first give the edge set of the simple graph  thag is a forest with vertices P, Q, R, S, T ,…

Q: 42. Which of the following graphs contains a cut-vertex? A. Complete graph K3 B. cycle C4 C. path P2…

A: Sol