If there are 10 vertices in a tree, there must be edges. O 10 O 9 O 11 O 8

Q: Fill in each blank so that the resulting statement is true. If there are 10 vertices in a tree,…

A: Given that  If there are 10 vertices in a tree there must be ___edges.

Q: a) Consider the following graph: How many edges must we remove to obtain a spanning tree?

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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: Each node can have at most n=v number of edges. (True means Doğru; False means Yanlış) Birini seçin:…

A: Result: 1. The maximum number of edges in an undirected graph is n(n-1)/2. 2. The maximum number of…

Q: What is the maximum number of edges in a bipartite graph having 10 vertices? 1. O 25 2. O 16 3. O 24…

A: Option (1).25 is the correct.To solve this we use the property of bipartite graph.

Q: How many edges will be there in a complete graph with 13 vertices.

A:

Q: Answer the following questions: a) List the descendant's vertices of vertex e? b) List the…

A: Hi, Thank you for the question. Since you have posted a question with multiple sub parts as per the…

Q: If a tree has 21 vertices, then its total degree of the vertices is O 20 42 O 40 none of the choices…

A:

Q: If a graph has vertices of degrees 1, 5, 2, 3, and 3, how many edges does it have? Why?

A: We are given a graph that has vertices of degrees 1,5 ,2, 3,3 Now, by Handshaking lemma we have: Sum…

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

A: For a complete graph, We have to match the number of Hamiltonian circuits or a given vertices. The…

Q: How many edges does K6have?

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: A tree has 99 edges. How many vertices does it have? 99 198 100 O 200

A: We will solve this by using formula of edges and vertices

Q: The number of edges in a graph with 12 vertices each of degree 6 is O 11 36 12 72

A:

Q: 3. Draw and shade Venn diagrams using the graph below. P =A =B

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Q: Q1. Let T be a tree with at least 2 vertices. Then: If we delete 1 edge from T. How many are the…

A: For the solution of the problem follow the next steps.

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

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Q: 5. Given the social network among six friends, answer the questions. Jomar James Judiel John Jade a.…

A: Given

Q: A connected simple graph has five vertices (each of degree four). Into how many regions is the plane…

A: Given that  A connected simple graph has five vertices each of degree four.  To find The number of…

Q: The number of edges in a graph with 12 vertices each of degree 6 is O 72 O 1 O 12 O 36

A:

Q: How many vertices will the following graphs have if they contain: (a) 12 edges and all vertices of…

A:

Q: Determine the number of Hamilton circuits in a complete graph with 12 vertices. O A. 121 O B. 11 O…

A: To determine the number of Hamiltonian circuits in a  complete graph with 12 vertices.

Q: The number of simple directed graphs with 3 labeled vertices and having exactly 3 edges is Select…

A: Sol

Q: Determine the number of Hamilton circuits in a complete graph with 28 vertices. ... O A. 27! B. 28!…

A: To determine the number of Hamilton circuits in a complete graph with 28 vertices.

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

A:

Q: How many edges and vertices are there in KA ? a) 6 Edges and 4 Vertices b) 6 Edges and 5 Vertices c)…

A: Draw a complete graph with 4 vertices, to find the number of edges in K4.  Hence, the complete…

Q: Given the tree below, find the following. e) Which vertex is the parent of h? f) Which vertices are…

A: 1. d is the parent of h 2.sibling of o is p 3.ancestors of m are b,g,e,f

Q: How many edges are in the Hasse diagram that represents the poset ( {1, 3, 4, 6, 8, 12, 16, 18), I…

A: Solution

Q: How many edges does the figure below have? O 12 O 10

A: Given query is to find the edges of the pyramid.

Q: The number of edges in a graph with 10 vertices each of degree 7 is O 35 O 14 O 70

A: Given that  Number of vertices of the given graph=10 Degree of each vertices=7 To find Number of…

Q: 12. Answer these questions about the rooted tree illustrated.. (a) Which vertex is the root? (b)…

A: If the vertex of a tree is designated as the root, then the tree is called the rooted tree. The…

Q: Refer to the weighted graph attached, and answer the following: 1. What is the total weight of the…

A: A weighted graph is attached, and we need to  answer the following questions, 1. What is the total…

Q: 16. How many edges has each of the complete graph Kso? A. 1235 B. 1245 C. 1225 D. 2450

A:

Q: 2. How many edges has each of the following graphs: (a) K10; (b) K5,7; (c) Ws; (d) the Petersen…

A: We need to find the number of edges in K10,K5,7,W8. (According to Bartleby only first three subparts…

Q: (a) Is it possible to have a forest with 13 vertices and 10 edges?

A: As per bartleby guidelines i can answer only one question at one time, kindly post rest question…

Q: 9. 8 6. 5 4 2 3 1

A:

Q: If a tree has 23 vertices, then its total degree of the vertices is O 44 O 22 O 23 O 42 O none of…

A: If we take the sum of all the degrees, each edge will be counted twice. Hence, for a tree with n…

Q: The number of edges in a graph with 8 vertices each of degree 7 is O 7 O 56 28 O 14

A: We have to solve given problem:

Q: Let H be the graph below: (a) How many trees, with vertex set [7], have H as a subgraph? (b) How…

A: NOTE : As per Bartleby guidelines, incase of multiple subparts, only first three are answered.…

Q: Answer T if the graph or tree exists as described and F if it does not. 1. Connected graph with 9…

A: # we are entitled to solve one question at a time, please resubmit the other questions if you wish…

Q: 4. Þescribe each graph below. Explain how many vertices and how many edges it has, and if it is a…

A: Graph theory

Q: How many edges are contained on the following figure below? О 15 O 7 О 12 О 10

A: from the given figure, we have to find the number of edges used

Q: ve the problem. raph has 5 vertices: four vertices of degree 3 and a vertex of degree 2. How many…

A: Here we have to find the number of edges in given graph.

Q: If G is a forest with 30 vertices and 6 con- nected components, then how many edge does G have?

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Q: Faces: 8 edges: ? vertices: 6

A: Given Faces=8 vertices=6

Q: Determine whether the following graph is complete or not. If It is complete, determine the number of…

A: Remark: Complete graph: A simple graph is called complete if there exists an edge between every pair…

Q: The number of edges in a graph with 10 vertices each of degree 5 is O 10 O 25 O 50

A:

Q: How many vertices will the following graphs have, if they contain: (a) 18 edges and all vertices of…

A:

Q: A leaf node in a tree or forest is an isolated vertex. (True means Doğru; False means Yanlış) Birini…

A: A leaf node in a tree or forest is an isolated vertex.