33. Which of the following statements is/ are true? I. Adding an edge to a path graph will always result in a cycle graph. II. A simple graph with four (4) vertices and six (6) edges is a complete graph.

Q: 3. The two drawings below represent the same graph. Label the vertices and edges of the right-hand…

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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. Find all connected sub-graphs of the following graph containing all of the vertices of the…

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Q: 4. Write the equation for the piecewise graph below. Be sure to show your work clearly and legibly…

A: Here I am attaching image so that you understand each and every step.

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

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Q: Is it possible for a graph with 35 vertices and 100 edges to be planar? O Yes O No

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

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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: 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: A graph G is Simpien (d) It is not contains a loop. (c) It is not contain loop or multiple edges.…

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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: Draw  (i) a simple graph,  (ii) a non-simple graph with no loops

A: (i). Simple graph:      A simple graph is a graph that does not contain more than one edge between…

Q: When n = 3, there are nonisomorphic simple graphs.

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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: 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: Consider the following. Da (a) Give the number of edges in the graph. (b) Give the number of…

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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: 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: Determine the sum of the in-degrees and out-degrees of each graph shown in Figure 1. Show the…

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Q: If G1 is a simple graph with 20 edges and G has 25 edges, how many vertices does G1 have?

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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…

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Q: QUESTION 14 Total number of edges of a complete graph which has 9 vertices is 36 edges None 12 edges…

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Q: c) Represent the graph |z-412 |z|

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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: 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: . Draw a graph with 4 vertices each of degree 2.

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Q: B2. a. Draw four graphs such that each graph contains a cycle of length 3, 4, 5, and 6 respectively.…

A: We have to draw four graphs so that each graph contains a cycle of length 3, 4, 5 and 6…

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: show that the two drawings represent the same graph by labeling the vertices and edges of the…

A: Consider the two given graph.In the right graph, it is observed that one edge is connected to the…

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

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Q: Consider the following graph. (Enter your answers as comma-separated lists.) A graph with 5 vertices…

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