Given the rooted tree below, answer the questions below a) List the children of vertex j b) List the ancestor of vertex s c) List the siblings of vertex q

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

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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: 40.If Tree A is rooted at node E, what will be the height of node C? Tree A A. 3 C. 1 B. 2 D. 0 40

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Q: (c) Given a rooted tree as below. Lucy Наппа Vanessa Chris Lei Oscar Yolly Lander (i) Find the…

A: The height of a tree is defined as the height of its root node. Note that a simple path is a path…

Q: Consider the two rows of points on the grid below. Count the number of triangles that can be formed…

A: The two rows grid is given as: In both rows, there are 8 points in each. Therefore there are total…

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: Consider the following figure: a. Input the degree number for each vertex Vertex Degree Vertex A…

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Q: Consider the following tree. Assume that the neighbors of a vertex are consid- ered in alphabetical…

A: BFS:

Q: Given the tree below, find the following  a) Which vertex is the root? b) Which vertices are…

A: Here we use basic defnitions of tree

Q: Draw a spanning tree of the given graph in the space provided below. Hint: You can use the Shape…

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Q: What is the degree of vertex A?

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

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

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Q: If a complete graph has degree 3 for each vertex, then how many diagonals are in the graph? * 2 O 5

A: Given graph is complete and each vertex has degree 3.

Q: Given the graph below a.) State which vertices are odd and verify that the number of odd vertices is…

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Q: Question 8 For the given tree, number of internal vertices = Height of the tree = . number of…

A: GIVEN tree

Q: Figure 14: A tree diagram has 9 vertices. The top vertex is d. Vertex d has three branches to…

A: (a) Post Order transversal: In post order transversal method, the root node is visited at the last.…

Q: 3. Given four points, A, B, C, and D, no three of which are collinear and such that any pair of the…

A: NOTE:- AS PER BARTLEBY GUIDELINES WE ARE ANSWERING FIRST THREE QUESTIONS FOR YOU AS PER BARTLEBY…

Q: Which of the following vertices are adjacent. 7

A: If two vertices are connected by an edge, they are adjacent Check the given vertices 3 and 2 are…

Q: 3. Which graph is the rooted tree that is formed from the tree in figure K, when: • vertex u is…

A:

Q: Find the sum of the degrees of the vertices of each graph in Exercises 1–3 and verify that it equals…

A: Given graph is

Q: Use Euler's Formula to find the missing number. Vertices: 16 24 Edges: 37 22 Faces: ? 23 26 ABCD

A: Use Euler's formula to find the missing numbers.     Vertices : 16      Edges : 37      Faces : ?

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: Given the following digraph G, select true if the statementis true and select the false if it is…

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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: If squares are erected externally on the sides of a parallelogram then their centers are the…

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Q: Suppose a tree has 1 vertex of degree 4, 3 vertices of degree 3, 4 vertices of degree 2 and the…

A: Suppose a tree has vertex with the degree as follows: Degree of the vertex Number of vertex 4 1…

Q: . Consider the tree drawn below. a. Suppose we designate vertex e as the root. List the children,…

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Q: 5. Consider this following tree rooted at a. 1) In which order are the vertices of this tree visited…

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Q: QUESTION 3 The number of edges in a tree with 16 vertices is O At least 15 O At most 15 O Possible…

A: To find the number of edges in a tree with 16 vertices

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: The total degree of a tree with m vertices is (2m-2). True O False

A: •The degree of a vertex v of a graph G is the number of edges incident on v with self loop…

Q: Give your answer as a list of vertices, starting and ending at vertex A. Ex

A: Here first we start from vertex A , and go to the other vertex whose weight is least , then from…

Q: What is the degree of each vertex of the Star of David?

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Q: Let n 2 3 be a natural number. Find how many pairwise non-congruent triangles are there among the ("…

A: Given that n≥3. Now consider regular n-gon.  It has partition of n edges into 3 pieces with x edges…

Q: In which order are the vertices of the ordered rooted tree in Exercise 7 visited using an inorder…

A: Graph theory: inorder traversal

Q: How many triangles can be made if the vertices are from three of the six points on the circle? One…

A: out of the six points on the circle.

Q: The number of edges in a graph with 11 vertices each of degree 4 is 44 O 22 O 8 O 10

A: Graph - number of edges

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

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Q: Solve the following network question by using Minnimal Spanning Tree Method. Calculate the total…

A: The given network is

Q: A tree T has one hundred vertices of degree 1, ten vertices of degree 3 and all its other vertices…

A: Given that 100 vertices of degree 1. Ten vertices of degree 3 And all its other vertices have degree…

Q: Use Euler’s Formula to find the missing number of faces, edges, and vertices a) Faces = ?, Edges =…

A: Euler's formula is: F + V = E + 2, where F=the number of faces, V =the number of vertices, and E =…

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: . Consider the rooted tree shown below with root a. List out a) the siblings of the vertices f b)…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: What is the chromatic number of a tree with branching factor 4 and height 6? (That is, every…

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Q: Find the sum of the degrees of the vertices of each graph in Exercises 1-3 and verify that it equals…

A: We know that, Degree of vertex is the number of edges passing through that vertex. We need to…

Q: Who is the parent of vertex "6"in rooted tree (rooted at 1)? 2 3 4 None.

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Q: 6. (a) List all eight triangles occurring in the figure below. (b) From the marked information,…

A: Since you have many questions in this image and you haven't specified any question to be answered, I…

Q: A rooted tree has  a. More than one root b. No cycles c. No leaves d. cycles of length one

A: A rooted tree is a tree with one vertex identified as the “root” and all edges directed away from…

Q: Given the tree below, draw 5 possible spanning trees for the following graph

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