Graph theory: a. A graph G has 6 vertices and a total degree of 18. How many edges does this graph have? b. A graph G has 8 vertices and a total degree of 36. How many edges does this graph have? c. A graph G has 5 vertices and 10 edges. What is the total degree (sum of degrees) of this graph?

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: onsider a graph on 4 vertices in the shape of a square. What is the degree sequence of the graph?…

A: According to the given information first it is required to find the degree sequence of the graph of…

Q: What is the minimum number of links L of an undirected network of N nodes which is connecte Select…

A: Minimum number of Links

Q: In a tree with 32 vertices, what is the sum of degrees?

A: Vertex is where two or more edges meet . The degree of a vertex is the number of edges originating…

Q: ree contains some number of leaves (degree 1 vertices) and four non - leaf vertices. the degree of…

A: Given, tree contains some number of leaves (degree 1 vertices) and four non - leaf vertices. the…

Q: We know the total degree (sum of the degrees) in an undirected graph G is equal to 66. How many…

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Q: How many connected components does this graph have? What is the total degree of the graph?

A: From the given graph. We say a connected component is when the number of edge is removed then the…

Q: Draw a cycle graph of six vertices that looks like a Hexagon. a. Is hexagon a bipartite graph? If…

A: A cycle graph is a graph that looks circular, i.e., has a cycle.

Q: The following graph is k-edge connected. What is the value of k?

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Q: How many edges does K6have?

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Q: D What is the degree of vertex B B A a

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Q: 4. A simple undirected graph has 17 edges, and each vertex is at least of degree 3. What is the…

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Q: number

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Q: Consider the graph given above. a. How many vertices does the graph have? b. What is the degree of…

A: The graph has 8 vertices. Degree of O is 4. Degree of S is 3. Since, the graph is connected, it has…

Q: A tree contains some number of leaves (degree 1 vertices) and four non-leaf vertices. The degrees of…

A: Given, tree contains some number of leaves (degree 1 vertices) and four non - leaf vertices. the…

Q: A forest contains 39 vertices and 36 edges. How many connected components does the graph have? 72

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

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Q: If three dice are thrown, how many possible outcomes would show A sum of 6? A sum of ≥ 5? A sum less…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: Construct a graph that is a tree with vertices P, Q, R, S, T, U such that the degree of Tis 5. What…

A: Simple graph -A simple graph is an undirected , unweighted graph containing no graph loops or…

Q: Draw graph if n is 20 and p is 0.2

A: Given : n = 20 p = 0.20 q = 1 - p     = 1 - 0.20     = 0.80

Q: 11. Determine if the graph is a complete bipartite graph. Explain why or why not. K4 Write your…

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Q: Discrete Mathematic - Graph Theory 1. Nine people are at a party. Explain why it is impossible for…

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Q: The graph G₁ has 6 vertices, all of degree 3. How many edges does G₁ have? The graph G₂ has 8…

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Q: A tree contains some number of leaves (degree 1 vertices) and four non-leaf vertices. The degrees of…

A:

Q: A graph G has 8 vertices and 11 edges. What is the total degree (sum of degrees) of this graph?

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Q: What is the largest number of edges possible in a graph with 9 vertices? edges. What is the largest…

A: The maximum  possible number of edges in a graph with n vertices is given by nn-12  The maximum…

Q: а. What is the degree of vertex B? A C В D

A: We will find out the degree of vertex using definition.

Q: 3. Determine if the graph is a complete bipartite graph. Explain why or why not. y K2 Write your…

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Q: The average degree of a tree is 1.998 (that is, if you sum the degrees of vertices and divide by the…

A: Given that, The average degree of a tree is 1.998. Find the number of vertices. Here we use the…

Q: is The number of edges in a complete bipartite graph K5 O 15 O 20 O 30 O 10

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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: E I D H. C F What is the degree of vertex E a derimal or int

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Q: A notebook comes in 4 colors: red, yellow, green, and blue. They come in two types: 5-subject and…

A: Here Given  No of Colors of Notebook =4 (Red,Yellow,Green,Blue) No of Subjects type =2 (5 subjects…

Q: Fill in the blank with an appropriate word. The number of edges that connect to a vertex is called…

A: Given:The number of edges that connect to a vertex is called the ________ of the vertex.The given…

Q: Example 51. How many triangles can be made by joining the vertices of decagon? How many diagonals…

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