3.What are the strongly connected components of the digraph below? Your answershould consist of a list of strongly connected components where each component is representedas a set of vertices. You are not required to draw anything in your answer.71151234610

A graph is said to be strongly connected if every vertex is reachable from every other vertex. The…

Answered: What are the strongly connected…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter12: Angle Relationships And Transformations

Section12.6: Rotations And Symmetry

Problem 1C

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What are the strongly connected components of the digraph below? Your answer should consist of a list of strongly connected components where each component is represented as a set of vertices.
What are the strongly connected components of the digraph shown? Your answer should consist of a list of strongly connected components where each component is represented as a set of vertices.
1. Which of the following vertices are adjacent to vertex A? a.) EBb.) EFBc.) EDCBd.) AEDFC 2. What is the order of the graph? a.) 2b.) 4c.) 6d.) 8 3. Which of the following is NOT a walk from A to D? a.) AEFEBFDb.) ABCDc.) AFEBCDd.) AEFCD
(a) What is the degree of vertex E ? (b) List all the even vertices and all the odd vertices.Click on "None" as needed. List of the even vertices: List of the odd vertices: (c) List all vertices that are adjacent to vertex D .Click on "None" as needed.
Let ∆ABC have vertices at A = (0,0), B = (3,4), and C = (12,5). Let ∆HFK have vertices at H = (6,0), F = (8,1.5), and K = (12,2.5). Is ∆ABC similar to ∆HFK ? Which similarity theorem would you use to check whether ∆ABC and ∆HFK are similar? Determine whether ∆ABC and ∆HFK are similar.
Prove: For any graph r with six vertices ror r complementary contains C3
13. What is the degree of vertex A?
Which of the graphs below have Euler circuits? 1) II only 2) I only 3) neither I nor II 4) both I and II
Answer the given question with a proper explanation and step-by-step solution. 1. a trail is a walk without repeated edges, 2. an Eulerian trail is a trail passing through every edge, and 3. a graph admits an Eulerian trail if and only if the following hold (a) every vertex has even degree or there are exactly two vertices with odd degree and (b) the vertices of nonzero degree are connected. Step 1. – If every vertex has even degree then pick any vertex v of nonzero degree and construct a circuit from v to itself. – If there are exactly two vertices with odd degrees then construct a trail between them. • Step 2. As long as some vertex w belongs to the current trail and has incident edges not in the current trail, construct another circuit from w to itself using only previously unused edge and join it to the current circuit.
6.b. Determine whether the following statements are true or false. Explain why the true statements are true and give counterexamples to the false statements.(i) Each bipartite graph is planar.(ii) Each bipartite has a chromatic number equal to 2.
Which of the graphs below have Euler circuits? 1) I only 2) II only 3) both I and II 4) neither I nor II
a. Define the following with an example; i. pathsii. simple graphb.Draw the graph with the adjacency matrixordering of vertices, a, b, c, d.030253 0 1 17 with respect to the 01122120i. Find the degree of each vertex in your graph from part (a) above.ii. How many walks of length 2 are there from the vertex c to c? How manyof these walks are paths?4. a. Define the following Terms giving one example each: i. Partial Ordering Relationsii. Equivalence relationsb. Answer these questions for the partial order represented by the following Hasse

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What are the strongly connected components of the digraph below? Your answer should consist of a list of strongly connected components where each component is represented as a set of vertices. You are not required to draw anything in your answer. 2 11 6 12 3 4 8 10