User Account

All Pages

Question 1 correctly match each of the following

Assignment Help Mathematics
Reference no: EM13364657

Question 1: Correctly match each of the following descriptions to a graph below by inserting the letter of the description that correctly describes the graph in the open box under the graph.  

 (A) The graph has both an Euler circuit and a Hamilton circuit. 

 (B) The graph has an Euler circuit but does not have a Hamilton circuit. 

 (C) The graph does not have an Euler circuit but does have a Hamilton circuit. 

 (D) The graph does not have an Euler circuit and does not have a Hamilton circuit. 

170_graph_question_1.png

Question 2. A graph G has a set of vertices V = {1, 2, 3, 4, 5, 6, 7} and a set of edges  E = {(1,4), (1,5), (2,5), (2,6), (3,2), (3,4), (4,5) (4,6), (3,7), (5,7)}. Draw the  graph G. 

Question 3: Construct the incidence and adjacency matrices for each of the following graphs.2391_graph_question_3.png

Question 4: Consider the adjoining connected graph consisting of 8 nodes and 10 edges. 

Answer the following questions regarding this graph. 

 (a) Does this graph contain an Euler circuit? If  your answer is yes, describe the circuit. If your  answer is no, explain why there is no Euler circuit.  

 (b) Does this graph contain an Euler path? If  your answer is yes, describe the path. If your answer is no, explain why there is  no Euler path.  

 (c) Does this graph contain a Hamilton circuit? If your answer is yes, describe  the circuit. If your answer is no, explain why there is no Hamilton circuit. 

177_graph_question_4.png

Question: 5. The adjoining diagram is a graph with five nodes (or vertices) labelled A, B, C, D and E. The lengths of the edges joining the nodes are shown on the graph.  

 a) Find all Hamilton paths going from node A to node B.  

 b) Find the lengths of each of the Hamilton paths from node A to node B. 

1457_graph_question_5.png

Question 6. Consider the following digraphs. Draw their corresponding incidence matrices. 

68_G_Q_6.png

Question 7. Consider the following incidence matrix. Draw its corresponding digraph. 
1528_G_Q_7.png
Question 8: Determine which two of the following three graphs A, B & C are equivalent
1228_graph_question_8.png
Question: 9. The adjoining graph consists of 6 nodes (or vertices) labeled A, B, C, D, E and F and 9 edges connecting pairs 
of nodes. Does this graph contain an Euler path? If your answer is yes, provide an example of an Euler path for this graph. If your answer is no, explain why no Euler path exists. 
575_G_Q_9.png
Question 10. Give an example of a connected graph having the following properties. Note:  The graph need not be a simple graph. 
 
 (a) A graph with 3 nodes that has both an Euler circuit and a Hamilton circuit. 
 
 (b) A graph with 4 nodes that has both an Euler circuit and a Hamilton circuit. 
 
 (c) A graph with 3 nodes that has an Euler circuit but not a Hamilton circuit. 
 
 (d) A graph with 4 nodes that has an Euler circuit but not a Hamilton circuit. 

Reference no: EM13364657

Questions Cloud

Stress management programs describe the benefitshead-office : stress management programs describe the benefitshead-office employees at acme widgets have had heavy workloads over the
Evaluate a reliable way to measure it stressconsider you : evaluate a reliable way to measure it stressconsider you want to do a study in which class participation is an
Training assessment stress managementsome topics to address : training assessment stress managementsome topics to address during a stress management seminar could be hourigan
Preventive stress management methodsshow one of the eight : preventive stress management methodsshow one of the eight individual preventive stress management methods that you have
Question 1 correctly match each of the following : question 1 correctly match each of the following descriptions to a graph below by inserting the letter of the
Q problem of your choice define a problem of your choice : q. problem of your choice define a problem of your choice which can be tackled by biologically inspired methods. the
Statistical critical thinking and application skillsa : statistical critical thinking and application skillsa discuss the research paper.b design and perform an experiment to
According to your text epistemology is a general set of : according to your text epistemology is a general set of assumptions about the best ways of inquiring into the nature of
Part 2 how does training employees contribute to the : part 2 how does training employees contribute to the overall success of the organisation? you are required to persuade

Reviews

Write a Review

Mathematics Questions & Answers

  What is the expected value for the insurance policy

a 28-years-old man pays $165 for a one year life insurance policy with coverage of $140,000. if the probability that he will live through the year is 0.9994. what is the expected value for the insurance policy?

  Prove that the subgroup n generated by all the elements

Normal subgroups, Second Theorem of Isomorphism, Conjugates and Cyclic Groups

  Find the flux of the vector field

Let S be the part of the plane 3x + 1y + z = 4 which lies in the first octant, oriented upward. Find the flux of the vector field F = 1I + 2J + 2K across the surface S.

  How far is it from first base to dead center field

The distance from home plate to dead center field in a certain baseball stadium is 403 feet. A baseball diamond is a square with a distance from home plate to first base of 90 feet. How far is it from first base to dead center field?

  Deciding with discrete distribution to use

Discrete Distributions : Bernoulli, Binomial, Discrete Uniform, Geometric Negative Binomial or Poisson, My main problem is deciding with discrete distribution to use: BERNOULLI, BINOMIAL, DISCRETE UNIFORM, GEOMETRIC NEGATIVE BINOMIAL, OR POISSON.

  Formulate the initial-value problem

Formulate the initial-value problem describing the motion of the object under each of the following sets of conditions. Set x equal to the downward displacement from equilbrium.

  Find the x intercept of the tangent line

find the x intercept of the tangent line at x=-1

  Prove that the line will pass through a fixed point

A straight line moves in such a way that the sum of the reciprocals of the intercepts of the axes is equal to 1/k , where k is a constant. Prove that the line will pass through a fixed point.

  Find the direction and magnitude of the resultant

Three forces with magnitudes of 70 pounds, 40 pounds, and 60 pounds act on an object at angles of -30 degrees, 45 degrees, and 135 degrees, respectively, with the positive x-axis. Find the direction and magnitude of the resultant of these forces.

  Symbolic logic-predicate logic

The sentence below is a theorem of predicate logic. Show that it is by deriving it from the null set of premises. If any "individual" in the domain has a property, then every individual has it. I need help explaining this and with the derivation.

  Working with metric conversions-drug dosage

A client has an order for a foot soak prepared with 25% povidine iodine and the total volume of preparation is to be 1 liter. How many mls of povidine/iodine should be used?

  Change in revenue using integrals

The marginal revenue for a certain product is given by dR/dx = 25-2x. Find the change in revenue when sales increase from 7 to 10 units.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd