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: 6. Explain why do the two diagrams at the right represents a same graph? Draw another representation…

A: If there is a line from A to B , then B is Neighbour of A. Similarly , we can draw the table of…

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: Use a graph to find a number N such that 6x² +5x-3 2x² - 1 -3N. -

A: we have given:

Q: 7. Is this the graph G planar? If so, then determine the faces and the edges.

A:

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: Q2D. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {[a, b},…

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: Use the last six digits of your Banner number 000abcdef or 001abcdef to generate weights for the…

A: The given banner number is 000109151.In the network, replace the letters a,b,c,d,e, and f with 1, 0,…

Q: Which of the following functions are one-to-one: Which one of these functions is not invertible?…

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

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: For each of the following, try to give two different unlabeled graphs with the given properties, or…

A:

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: 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: 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…

A:

Q: Write an example of three graphs (each with 4 vertices), two of them are isomorphic and two are…

A: We will draw three graphs on four vertices among which two are isomorphic and two are non…

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

A:

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: b a d e g

A: To find the circuits with in the graph

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: 2. Is the graph below a tree? Why or why not?

A: To identify given graph is tree or not

Q: G8. Construct the graph where the vertices are you, your parents, and your grandparents with a…

A: Given : Vertices- you, parents and grand parents Relationship- born in same state.