you are Required to draw a graph with 4 vertices, each of degree 3. Ca graph like that is Called a3-regalar graph *Is there a graph with 37 Vertices, each of degree 3? Why or why not ?

Q: Draw a graph with the specified properties or explain why no such graph exists. Graph with 5…

A: Remark: We know that the sum of degree of all the vertices in a graph must be twice the number of…

Q: The number of edges in a graph with 10 vertices each of degree 5 is

A: A graph G is a pair (V,E), where V is a finite set of vertices and E a finite set of edges. We can…

Q: If a graph has 4 vertices with degrees 1, 2, 2, 3 how many edges does the graph have. Show such a…

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

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Q: I have a graph with 2021 vertices. It is not a tree but there exists some vertex whose removal makes…

A: We know that maximum number of possible edges is 3(n-2)

Q: . Consider a connected graph on 100 vertices with 99 edges. What's the mallest number of colors you…

A: If there is a connected graph with n vertex and n-1 edges then graph must be a path P(n).  Every…

Q: construct a graph that is a tree with vertices P,Q,R,S,T,U,V such that the degree of P is 4 what is…

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Q: Construct a graph that is a tree with vertices P, Q, R, S,T,U,V such that the degree of Q is 6. What…

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Q: If a simple disconnected graph has 7 vertices and 2 connected components what is the maximum number…

A: Given question is If a simple disconnected graph has 7 vertices and 2 connected components what is…

Q: A graph G has 15 edges, three vertices of degree 4, two of degree 1 and the remaining vertices have…

A: We are given with the number of edges and we know that the number of degrees is equal to twice of…

Q: A graph with no edges is known as an empty graph. Empty graph is also known * as O Complicated Graph…

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Q: Construct a bipartite graph with vertices R, S, T, U, V, W that is a tree. What is the edge set?…

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

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Q: Does a simple graph on eight vertices of degrees 1, 1, 2, 2, 3, 3, 4, 4 exist? Either draw such a…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Construct a simple graph with vertices L, M, N, O, P, Q whose degrees are 1, 2, 4, 3, 4, 2 What is…

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Q: Suppose a connected planar graph G has 27 vertices. How many edges must G have if there are 16…

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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: A graph has 13 edges. What is the sun of the degree of all the vertices of this graph?

A: A graph has 13 edges. What is the sun of the degree of all the vertices of this graph?

Q: Can you sketch an undirected graph whose sum of its degrees is 17? If so, sketch the graph, and…

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Q: Explain why graphs with the given specification do not exist. 1. Tree, twelve vertices, fifteen…

A: A tree on n vertices had n-1 edges.

Q: a simple disconnected graph with 3 vertices.

A: This is an example of simple disconnected graph with three vertices.

Q: If we have two different non-crossing drawings of the same connected graph, is it possible for the…

A: The given question is related with planar graphs. Suppose we have two different non-crossing…

Q: Construct a bipartite graph with vertices A, B, C, D, E, F, G that is a tree. What is the edge set?…

A: Introduction: A unique type of graph known as a bipartite graph that exhibits the following…

Q: Draw a graph with 5 vertices and 8 edges. How can you prove that it is a simple graph or…

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Q: Construct a graph that is a tree with vertices P, Q, R, S, T, U such that the degree of R is 3. What…

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Q: There are 8 vertices namely: A, B, C, D, E, F, G, H Make or draw a graph with 2 loops around the…

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Q: Suppose a graph has vertices of degree 0, 2, 2, 3 and 9. How many edges does the graph have? Provide…

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Q: Could there be a graph with four vertices of degree 1,2,5 and 4? Explain why no such graph exists or…

A: To verify whether a graph with 4 vertices of degree 1,2,5 and 4 exist or not.

Q: Construct a bipartite graph with vertices I, J, K, L, M, N that is a tree. What is the edge set?…

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Q: #4 with graph

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Q: Construct a bipartite graph with vertices T,U, V, W, X that is a tree. What is the edge set?…

A: A bipartite graph is a graph whose vertices can be divided into two disjoint and independent sets U…

Q: Consider the graph with 6 vertices of degree 2, 4, 1,1, 6,3, 5. Does the graph exist? Graph does not…

A: NOTE: As given degree of 7 vertices , so we consider number of vertices as 7 ( otherwise question is…

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

A: Solution

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

A: As 3 questions are given , I will solve only the first question, 1.Graph with five vertices of…

Q: The graph with 5 vertices and four edges is always connected. TRUE OR FALSE

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Q: A graph with 20 edges and each of the vertex having degree 4. Find the number of vertices of the…

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Q: Construct a bipartite graph with vertices R, S, T,U, V,W, X that is a tree. What is the edge set?…

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Q: 13. A connected graph with six vertices and six edges. tree with five vertices cal degree of 6.,

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Q: Compute the cycle index for the number of non-equivalent graphs with 6 vertices. How many are there?

A: Given:-                 Compute the cycle index for the number of non-equivalent graphs with 6…

Q: In a graph, there are 17 edges, 3 vertices of degree 2, and all the other vertices have degree 4.…

A: We are authorized to answer one question at  a time, Since you have not mentioned which question you…

Q: A simple graph has 6 vertices and 12 edges. Each vertex has degree either 2 or 5. How many vertices…

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Q: dges does a graph have if it has vertices of

A: Introduction: A graph is a structure consisting of a collection of objects, some of which are…

Q: QUESTION 11 Total number of edges of a complete graph which has 9 vertices is None 18 edges 12 edges…

A: The total number of edges in complete graph of n vertices are (n(n-1))/2

Q: Construct a graph with vertices P, Q, R, S, T, U whose degrees are 4, 3, 2, 3, 3, 1 What is the edge…

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Q: A connected planar graph has 13 vertices and 20 edges. How many regions are formed when the graph is…

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Q: Construct a simple graph with vertices N,0, P,Q, R, S whose degrees are 5, 1, 2, 3, 3, 2 What is the…

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Q: A graph contains 45 vertices. If two vertices have the same degree, they are not connected by an…

A: The graph has 45 vetices and it has two vertices of same degreebut they arre not connected by an…

Q: Find a self-complementary graph with 8 vertices.

A: We know the definition of Complement of a graph, The complement of a graph G is a graph G' on the…

Q: 3 with graph

A: The z test are used to measure the mean significance exist between the sample and population. Used…