. What is the order and size of the join of two graphs?

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

A:

Q: 3. Show that the two drawings represent the same graph by labeling the vertices and edges of the…

A: Give figure is

Q: In a simple graph there can two edges connecting two vertices. True O False

A:

Q: Are the following graphs connected? If a graph is not connected, explain why it is not. II

A:

Q: Determine whether the following graph is bipartite or not. Justify your answer either by giving a…

A:

Q: For a complete graph, match the number of Hamilton circuits for a given vertices. n = 3 n = 4 6 n =…

A: Hamilton Circuit : A circuit that must pass through each vertex of a graph once and only once. Being…

Q: What is the degree of vertex A?

A: Given graph, To be found - Vertex of A

Q: How many connected components does the following graphs have?

A:

Q: 1) Determine whether the graph shown has directed or undirected edges, whether it has multiple…

A: Directed graph: A directed graph is a graph in which all the vertices are connected together, where…

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

A:

Q: In Problem ,draw a complete graph so that it has the type of symmetry indicated.

A: Given that, This is the graph is an upper horizontal half parabola whose vertex at -4, 0 crosse…

Q: Consider the following graph: A B E D How many vertices are there? How many edges are there? What is…

A:

Q: If G is a connected graph with no bridges, how many vertices of degree 1 can G have?

A:

Q: b a d

A:

Q: A graph that has no edges is called a(n). graph. O a. null b. component c. incident d. adjacent e.…

A: Given A graph has no edges.

Q: illi. Graph A Graph B Graph C

A: We will tell you about shape of the graph.

Q: Let G be a graph with vertex set V and edge set E. If |V] = 7, what is the largest value that |E||…

A:

Q: What vertices are on each level in this graph, if we take s = 2?

A:

Q: If a graph has vertices of degrees 1, 1, 2, 3, and 3, how many edges does it have? Why?

A:

Q: How can one prove a graph is connected?

A:

Q: If a graph has 8 vertices, then what is its order? Answer:

A: We have given a graph which has 8 vertices. We know that  Order of a graph is cardinality of…

Q: Is a complete graph with five vertices also a bi-partite graph? Justify your answer with drawings.

A: The solution is given below

Q: Determine the number of distinct unlabeled simple graphs (not necessarily connected) up to 4 nodes.…

A: To determine the number of distinct unlabelled simple graphs upto 4 nodes.

Q: B A D C

A:

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: If a planar graph has 18 vertices and 26 edges, how many regions are determined when you draw t…

A: If a connected planar graph G has e edges, v vertices, and r regions, then v-e+r=2. Here,  v=18,…

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

A:

Q: Find a subgraph H of the graph G given below that has 4 vertices and 3 edges.

A:

Q: Are the following graphs isomorphic? Justify..

A: We clearly see that the first graph, say G1 contains two 3-cycles [one the smaller inside and the…

Q: 17. List all the vertices that are adjacent to vertex A.

A: This question is related to graph and figures, we will solve it using given information.

Q: Which of the following graphs are bipartite? I

A: A graph is bipartite iff graph does not contains any odd cycle.

Q: Consider the following graph: B E How many vertices are there? How many edges are there? What is the…

A:

Q: Indicate if each of the two graphs are equal Figure 3: An undirected graph has 5 vertices. The…

A: To Find: Indicate if each of the two graphs are equal

Q: 2. Determine if the following two graphs are isomorphic. а) b)

A: (a) let us suppose  graph 1 graph 2 we have to find if graph is isomorphic or not

Q: C) Explain why there cannot exist a simple graph of order 11, where the vertices have degrees 1, 1,…

A: Given: A simple graph of order 11 where the vertices have degrees 1,1,2,2,2,2,3,4,4,6,6.

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

A:

Q: (c) A complete graph with two connected components.

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Q: B: Fined the dual graph for Jollowing graphs the

A: Given

Q: 4. Is the following graph strongly connected? If not, is it weakly connected? 1

A: Digraph: strongly and weakly connected

Q: What kind of symmetry do the following graphs have, if any? (3) (4) 1. (5) (6)

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Q: Are the following 2 graphs isomorphic? Discuss your answer with appropriate reasoning.

A: Given two graphs. From the first graph, d(u1)=3d(u2)=3d(u3)=2d(u4)=2d(u5)=3d(u6)=3

Q: 5. Determine whether the given pair of graphs is isomorphic. Us H G

A: We need to check if both have the same vertices and edges, their degree sequence, and the length of…

Q: The number of non-isomorphic simple graphs on 8 vertices, all of which have degree 2, is Select one:…

A:

Q: Do there exist graphs with the following degrees? Explain. (a) 0, 2, 2, 2, 4, 4, 6; (b)…

A: Solution : a) The input sequence: (0,2,2,2,4,4,6) Now sorted as (6,4,4,2,2,2,0) Now remove the first…

Q: True or False: There exists a simple graph with 9 vertices each of degree 5. O True O False

A:

Q: 12. If G is a simple graph with vertices a, b, c, d, e and d(a) = d(b) = d(c) = 3 (d = degree), then…

A: Here we apply Hand-shaking lemma for simple graph.

Q: Which of the following is true for the undirected graph given below? be A. The cut vertices of the…

A: Given- Consider the given undirected graph, To Find- If threre are any cut vertices or it is…

Q: Which of the following graphs are not trees? M'VA b d

A: