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Unit 2 – Individual Project

Assignment Details

Assignment Description

Complete the following in a paper of 1–2 pages:

1. Consider the following graph:

a. Complete this table by finding the degree of each vertex, and identify whether it is even or odd:

Vertex Degree Even/Odd

A

B

C

D

E

F

G

H

b. What is the order of the graph?

c. Construct the 10 x 10 adjacency matrix for the graph.

2. The graph below illustrates a switching network. The weights represent the delay times, in nanoseconds, travelled by a data packet between destinations, represented

by the vertices.

a. Complete the following table by finding the shortest distance and the path for that distance from vertex A to the other vertices:

Vertex Shortest Distance

from A

Path from A

B

C

D

E

F

G

H

I

b. What is the shortest distance between A and J and the path for that distance?

3. The following graph represents a portion of the subway system of a city. The vertices on the graph correspond to subway stations, and the edges correspond to the

rails. Your job is to write a program for a cleaning car to efficiently clean this portion of the subway system.

a. Using Euler’s theorem, explain why it is possible to pass through all of the stations by traversing every rail only once. b. Using Fleury’s algorithm, provide an optimal path to clean all the rails by passing through them only once. c. Is it possible to find an optimal path described in question 3-b that starts on any station? Explain your answer.

d. Is it possible to find an optimal path described in question 3-b that starts and ends at the same station? Explain why or why not.

4. A network engineer lives in City A, and his job is to inspect his company’s servers in various cities. The graph below shows the cost (in U.S. dollars) of travelling between each city that he has to visit.

a. Find a Hamiltonian path in the graph.

b. Find a Hamiltonian circuit that will allow the engineer to inspect all of the servers. How much will the cost be for his trips?

c. Is there another Hamiltonian circuit that will allow the engineer to inspect all of the servers other than your answer in question 4-b? If so, calculate the cost.

5. Consider the following binary tree:

a. What is the height of the tree?

b. What is the height of vertex H?

c. Write the preorder traversal representation of the tree.

d. Write the array representation of the tree by completing the following table:

Vertex Left Child Right Child

A

B

C

D

E

G

H

I

J

K

L

M

N

O

P

Q

R

S

T Please submit your assignment.

For assistance with your assignment, please use your text, Web resources, and all course materials.

Grading Rubric

Project Criteria Exceeds: 90%–100% Very Good: 80%–89% Meets: 70%–79% Needs Improvement: Below 70%

Content

(75%)

Response covers all topics indicated in

the assignment and adds additional

content.

Response covers most topics

indicated in the assignment.

Response covers many of the

topics indicated in the assignment.

Response covers none to some of the

topics indicated in the assignment.

Effective

Communication

(10%)

Demonstrates outstanding or

exemplary application of written, visual,

or oral skills. Demonstrates

outstanding expression of topic, main

idea, and purpose. Audience is

addressed appropriately. Language

clearly and effectively communicates

ideas and content relevant to the

assignment. Errors in grammar,

spelling, and sentence structure are

minimal. Organization is clear. Format

is consistently appropriate to

assignment. Presentation and delivery

are confident and persuasive (where

applicable). The writing was of

collegiate level with no errors in

spelling or grammar.

Demonstrates very good written,

visual, or oral skills. Demonstrates

sound expression of topic, main idea,

and purpose. Audience is usually

addressed appropriately. Language

does not interfere with the

communication of ideas and content

relevant to the assignment. Errors in

grammar, spelling, and sentence

structure are present, but do not

distract from the message.

Organization is apparent and mostly

clear. Format is appropriate to

assignment, but not entirely

consistent. The writing was of

collegiate level with two or less errors

in spelling or grammar.

Demonstrates acceptable written,

visual, or oral skills. Demonstrates

reasonable expression of topic,

main idea, and purpose.

Sometimes, audience is

addressed appropriately. Language

does not interfere with the

communication of ideas and

content relevant to the

assignment. Errors in grammar,

spelling, and sentence structure

are present and may distract from

the message. Organization is a bit

unclear. Format is inconsistent.

The writing was of collegiate level

with several errors in spelling or

grammar.

Demonstrates inadequate or partially

proficient application of written, visual, or

oral skills. Demonstrates inadequate or

partial expression of topic, main idea, and

purpose. Audience is often not addressed

appropriately. Language often impedes the

communication of ideas and content

relevant to the assignment. Errors in

grammar, spelling, and sentence structure

are frequent and often distract from

meaning or presentation. Organization is

inadequate, confusing, and distracting.

The format is inadequate and obscures

meaning. The writing was less than

collegiate level with numerous errors in

spelling or grammar.

Supporting

Analysis

(15%)

Analysis exceeds minimum

requirements. Sources are used to

support analysis, are appropriate, and

are properly referenced.

Basic analysis provided to support

assertions. Sources are cited,

appropriate, and properly referenced.

Limited analysis provided to

support assertions. Some sources

are cited, appropriate, and properly

referenced.

No or inaccurate analysis, no sources are

cited when needed, analysis and/or

sources are not appropriate. When

sources are used, they are not properly

referenced.

Reading Assignment Click here for Unit 2 suggested reading materials.

Assignment Objectives

Apply critical thinking to various IT scenarios using discrete mathematics and statistics techniques.

Employ Boolean algebra concepts, including Boolean logic and operations on Boolean values.

Other Information

There is no additional information to display at this time.

Legend

Extra Credit View Assignment Rubric

Assignment Overview

Type: Individual Project

Unit: Graphs and Trees

Due Date: Tue, 2/28/17

Grading Type: Numeric

Points Possible: 120

Points Earned: 0

Deliverable Length: 1-2 pages

Go To:

Assignment Details

Learning Materials

Reading Assignment

My Work:

Online Deliverables: Submissions

12:05 PM (CST)

Privacy Statement Terms and Conditions Contact Us

© 2017 American InterContinental University.  All Rights Reserved. Authorized Users Only.

Unit 2 – Individual Project

Assignment Details

Assignment Description

Complete the following in a paper of 1–2 pages:

1. Consider the following graph:

a. Complete this table by finding the degree of each vertex, and identify whether it is even or odd:

Vertex Degree Even/Odd

A

B

C

D

E

F

G

H

b. What is the order of the graph?

c. Construct the 10 x 10 adjacency matrix for the graph.

2. The graph below illustrates a switching network. The weights represent the delay times, in nanoseconds, travelled by a data packet between destinations, represented

by the vertices.

a. Complete the following table by finding the shortest distance and the path for that distance from vertex A to the other vertices:

Vertex Shortest Distance

from A

Path from A

B

C

D

E

F

G

H

I

b. What is the shortest distance between A and J and the path for that distance?

3. The following graph represents a portion of the subway system of a city. The vertices on the graph correspond to subway stations, and the edges correspond to the

rails. Your job is to write a program for a cleaning car to efficiently clean this portion of the subway system.

a. Using Euler’s theorem, explain why it is possible to pass through all of the stations by traversing every rail only once. b. Using Fleury’s algorithm, provide an optimal path to clean all the rails by passing through them only once. c. Is it possible to find an optimal path described in question 3-b that starts on any station? Explain your answer.

d. Is it possible to find an optimal path described in question 3-b that starts and ends at the same station? Explain why or why not.

4. A network engineer lives in City A, and his job is to inspect his company’s servers in various cities. The graph below shows the cost (in U.S. dollars) of travelling between each city that he has to visit.

a. Find a Hamiltonian path in the graph.

b. Find a Hamiltonian circuit that will allow the engineer to inspect all of the servers. How much will the cost be for his trips?

c. Is there another Hamiltonian circuit that will allow the engineer to inspect all of the servers other than your answer in question 4-b? If so, calculate the cost.

5. Consider the following binary tree:

a. What is the height of the tree?

b. What is the height of vertex H?

c. Write the preorder traversal representation of the tree.

d. Write the array representation of the tree by completing the following table:

Vertex Left Child Right Child

A

B

C

D

E

G

H

I

J

K

L

M

N

O

P

Q

R

S

T Please submit your assignment.

For assistance with your assignment, please use your text, Web resources, and all course materials.

Grading Rubric

Project Criteria Exceeds: 90%–100% Very Good: 80%–89% Meets: 70%–79% Needs Improvement: Below 70%

Content

(75%)

Response covers all topics indicated in

the assignment and adds additional

content.

Response covers most topics

indicated in the assignment.

Response covers many of the

topics indicated in the assignment.

Response covers none to some of the

topics indicated in the assignment.

Effective

Communication

(10%)

Demonstrates outstanding or

exemplary application of written, visual,

or oral skills. Demonstrates

outstanding expression of topic, main

idea, and purpose. Audience is

addressed appropriately. Language

clearly and effectively communicates

ideas and content relevant to the

assignment. Errors in grammar,

spelling, and sentence structure are

minimal. Organization is clear. Format

is consistently appropriate to

assignment. Presentation and delivery

are confident and persuasive (where

applicable). The writing was of

collegiate level with no errors in

spelling or grammar.

Demonstrates very good written,

visual, or oral skills. Demonstrates

sound expression of topic, main idea,

and purpose. Audience is usually

addressed appropriately. Language

does not interfere with the

communication of ideas and content

relevant to the assignment. Errors in

grammar, spelling, and sentence

structure are present, but do not

distract from the message.

Organization is apparent and mostly

clear. Format is appropriate to

assignment, but not entirely

consistent. The writing was of

collegiate level with two or less errors

in spelling or grammar.

Demonstrates acceptable written,

visual, or oral skills. Demonstrates

reasonable expression of topic,

main idea, and purpose.

Sometimes, audience is

addressed appropriately. Language

does not interfere with the

communication of ideas and

content relevant to the

assignment. Errors in grammar,

spelling, and sentence structure

are present and may distract from

the message. Organization is a bit

unclear. Format is inconsistent.

The writing was of collegiate level

with several errors in spelling or

grammar.

Demonstrates inadequate or partially

proficient application of written, visual, or

oral skills. Demonstrates inadequate or

partial expression of topic, main idea, and

purpose. Audience is often not addressed

appropriately. Language often impedes the

communication of ideas and content

relevant to the assignment. Errors in

grammar, spelling, and sentence structure

are frequent and often distract from

meaning or presentation. Organization is

inadequate, confusing, and distracting.

The format is inadequate and obscures

meaning. The writing was less than

collegiate level with numerous errors in

spelling or grammar.

Supporting

Analysis

(15%)

Analysis exceeds minimum

requirements. Sources are used to

support analysis, are appropriate, and

are properly referenced.

Basic analysis provided to support

assertions. Sources are cited,

appropriate, and properly referenced.

Limited analysis provided to

support assertions. Some sources

are cited, appropriate, and properly

referenced.

No or inaccurate analysis, no sources are

cited when needed, analysis and/or

sources are not appropriate. When

sources are used, they are not properly

referenced.

Reading Assignment Click here for Unit 2 suggested reading materials.

Assignment Objectives

Apply critical thinking to various IT scenarios using discrete mathematics and statistics techniques.

Employ Boolean algebra concepts, including Boolean logic and operations on Boolean values.

Other Information

There is no additional information to display at this time.

Legend

Extra Credit View Assignment Rubric

Assignment Overview

Type: Individual Project

Unit: Graphs and Trees

Due Date: Tue, 2/28/17

Grading Type: Numeric

Points Possible: 120

Points Earned: 0

Deliverable Length: 1-2 pages

Go To:

Assignment Details

Learning Materials

Reading Assignment

My Work:

Online Deliverables: Submissions

12:05 PM (CST)

Privacy Statement Terms and Conditions Contact Us

© 2017 American InterContinental University.  All Rights Reserved. Authorized Users Only.

Unit 2 – Individual Project

Assignment Details

Assignment Description

Complete the following in a paper of 1–2 pages:

1. Consider the following graph:

a. Complete this table by finding the degree of each vertex, and identify whether it is even or odd:

Vertex Degree Even/Odd

A

B

C

D

E

F

G

H

b. What is the order of the graph?

c. Construct the 10 x 10 adjacency matrix for the graph.

2. The graph below illustrates a switching network. The weights represent the delay times, in nanoseconds, travelled by a data packet between destinations, represented

by the vertices.

a. Complete the following table by finding the shortest distance and the path for that distance from vertex A to the other vertices:

Vertex Shortest Distance

from A

Path from A

B

C

D

E

F

G

H

I

b. What is the shortest distance between A and J and the path for that distance?

3. The following graph represents a portion of the subway system of a city. The vertices on the graph correspond to subway stations, and the edges correspond to the

rails. Your job is to write a program for a cleaning car to efficiently clean this portion of the subway system.

a. Using Euler’s theorem, explain why it is possible to pass through all of the stations by traversing every rail only once. b. Using Fleury’s algorithm, provide an optimal path to clean all the rails by passing through them only once. c. Is it possible to find an optimal path described in question 3-b that starts on any station? Explain your answer.

d. Is it possible to find an optimal path described in question 3-b that starts and ends at the same station? Explain why or why not.

4. A network engineer lives in City A, and his job is to inspect his company’s servers in various cities. The graph below shows the cost (in U.S. dollars) of travelling between each city that he has to visit.

a. Find a Hamiltonian path in the graph.

b. Find a Hamiltonian circuit that will allow the engineer to inspect all of the servers. How much will the cost be for his trips?

c. Is there another Hamiltonian circuit that will allow the engineer to inspect all of the servers other than your answer in question 4-b? If so, calculate the cost.

5. Consider the following binary tree:

a. What is the height of the tree?

b. What is the height of vertex H?

c. Write the preorder traversal representation of the tree.

d. Write the array representation of the tree by completing the following table:

Vertex Left Child Right Child

A

B

C

D

E

G

H

I

J

K

L

M

N

O

P

Q

R

S

T Please submit your assignment.

For assistance with your assignment, please use your text, Web resources, and all course materials.

Grading Rubric

Project Criteria Exceeds: 90%–100% Very Good: 80%–89% Meets: 70%–79% Needs Improvement: Below 70%

Content

(75%)

Response covers all topics indicated in

the assignment and adds additional

content.

Response covers most topics

indicated in the assignment.

Response covers many of the

topics indicated in the assignment.

Response covers none to some of the

topics indicated in the assignment.

Effective

Communication

(10%)

Demonstrates outstanding or

exemplary application of written, visual,

or oral skills. Demonstrates

outstanding expression of topic, main

idea, and purpose. Audience is

addressed appropriately. Language

clearly and effectively communicates

ideas and content relevant to the

assignment. Errors in grammar,

spelling, and sentence structure are

minimal. Organization is clear. Format

is consistently appropriate to

assignment. Presentation and delivery

are confident and persuasive (where

applicable). The writing was of

collegiate level with no errors in

spelling or grammar.

Demonstrates very good written,

visual, or oral skills. Demonstrates

sound expression of topic, main idea,

and purpose. Audience is usually

addressed appropriately. Language

does not interfere with the

communication of ideas and content

relevant to the assignment. Errors in

grammar, spelling, and sentence

structure are present, but do not

distract from the message.

Organization is apparent and mostly

clear. Format is appropriate to

assignment, but not entirely

consistent. The writing was of

collegiate level with two or less errors

in spelling or grammar.

Demonstrates acceptable written,

visual, or oral skills. Demonstrates

reasonable expression of topic,

main idea, and purpose.

Sometimes, audience is

addressed appropriately. Language

does not interfere with the

communication of ideas and

content relevant to the

assignment. Errors in grammar,

spelling, and sentence structure

are present and may distract from

the message. Organization is a bit

unclear. Format is inconsistent.

The writing was of collegiate level

with several errors in spelling or

grammar.

Demonstrates inadequate or partially

proficient application of written, visual, or

oral skills. Demonstrates inadequate or

partial expression of topic, main idea, and

purpose. Audience is often not addressed

appropriately. Language often impedes the

communication of ideas and content

relevant to the assignment. Errors in

grammar, spelling, and sentence structure

are frequent and often distract from

meaning or presentation. Organization is

inadequate, confusing, and distracting.

The format is inadequate and obscures

meaning. The writing was less than

collegiate level with numerous errors in

spelling or grammar.

Supporting

Analysis

(15%)

Analysis exceeds minimum

requirements. Sources are used to

support analysis, are appropriate, and

are properly referenced.

Basic analysis provided to support

assertions. Sources are cited,

appropriate, and properly referenced.

Limited analysis provided to

support assertions. Some sources

are cited, appropriate, and properly

referenced.

No or inaccurate analysis, no sources are

cited when needed, analysis and/or

sources are not appropriate. When

sources are used, they are not properly

referenced.

Reading Assignment Click here for Unit 2 suggested reading materials.

Assignment Objectives

Apply critical thinking to various IT scenarios using discrete mathematics and statistics techniques.

Employ Boolean algebra concepts, including Boolean logic and operations on Boolean values.

Other Information

There is no additional information to display at this time.

Legend

Extra Credit View Assignment Rubric

Assignment Overview

Type: Individual Project

Unit: Graphs and Trees

Due Date: Tue, 2/28/17

Grading Type: Numeric

Points Possible: 120

Points Earned: 0

Deliverable Length: 1-2 pages

Go To:

Assignment Details

Learning Materials

Reading Assignment

My Work:

Online Deliverables: Submissions

12:05 PM (CST)

Privacy Statement Terms and Conditions Contact Us

© 2017 American InterContinental University.  All Rights Reserved. Authorized Users Only.

Unit 2 – Individual Project

Assignment Details

Assignment Description

Complete the following in a paper of 1–2 pages:

1. Consider the following graph:

a. Complete this table by finding the degree of each vertex, and identify whether it is even or odd:

Vertex Degree Even/Odd

A

B

C

D

E

F

G

H

b. What is the order of the graph?

c. Construct the 10 x 10 adjacency matrix for the graph.

2. The graph below illustrates a switching network. The weights represent the delay times, in nanoseconds, travelled by a data packet between destinations, represented

by the vertices.

a. Complete the following table by finding the shortest distance and the path for that distance from vertex A to the other vertices:

Vertex Shortest Distance

from A

Path from A

B

C

D

E

F

G

H

I

b. What is the shortest distance between A and J and the path for that distance?

3. The following graph represents a portion of the subway system of a city. The vertices on the graph correspond to subway stations, and the edges correspond to the

rails. Your job is to write a program for a cleaning car to efficiently clean this portion of the subway system.

a. Using Euler’s theorem, explain why it is possible to pass through all of the stations by traversing every rail only once. b. Using Fleury’s algorithm, provide an optimal path to clean all the rails by passing through them only once. c. Is it possible to find an optimal path described in question 3-b that starts on any station? Explain your answer.

d. Is it possible to find an optimal path described in question 3-b that starts and ends at the same station? Explain why or why not.

4. A network engineer lives in City A, and his job is to inspect his company’s servers in various cities. The graph below shows the cost (in U.S. dollars) of travelling between each city that he has to visit.

a. Find a Hamiltonian path in the graph.

b. Find a Hamiltonian circuit that will allow the engineer to inspect all of the servers. How much will the cost be for his trips?

c. Is there another Hamiltonian circuit that will allow the engineer to inspect all of the servers other than your answer in question 4-b? If so, calculate the cost.

5. Consider the following binary tree:

a. What is the height of the tree?

b. What is the height of vertex H?

c. Write the preorder traversal representation of the tree.

d. Write the array representation of the tree by completing the following table:

Vertex Left Child Right Child

A

B

C

D

E

G

H

I

J

K

L

M

N

O

P

Q

R

S

T Please submit your assignment.

For assistance with your assignment, please use your text, Web resources, and all course materials.

Grading Rubric

Project Criteria Exceeds: 90%–100% Very Good: 80%–89% Meets: 70%–79% Needs Improvement: Below 70%

Content

(75%)

Response covers all topics indicated in

the assignment and adds additional

content.

Response covers most topics

indicated in the assignment.

Response covers many of the

topics indicated in the assignment.

Response covers none to some of the

topics indicated in the assignment.

Effective

Communication

(10%)

Demonstrates outstanding or

exemplary application of written, visual,

or oral skills. Demonstrates

outstanding expression of topic, main

idea, and purpose. Audience is

addressed appropriately. Language

clearly and effectively communicates

ideas and content relevant to the

assignment. Errors in grammar,

spelling, and sentence structure are

minimal. Organization is clear. Format

is consistently appropriate to

assignment. Presentation and delivery

are confident and persuasive (where

applicable). The writing was of

collegiate level with no errors in

spelling or grammar.

Demonstrates very good written,

visual, or oral skills. Demonstrates

sound expression of topic, main idea,

and purpose. Audience is usually

addressed appropriately. Language

does not interfere with the

communication of ideas and content

relevant to the assignment. Errors in

grammar, spelling, and sentence

structure are present, but do not

distract from the message.

Organization is apparent and mostly

clear. Format is appropriate to

assignment, but not entirely

consistent. The writing was of

collegiate level with two or less errors

in spelling or grammar.

Demonstrates acceptable written,

visual, or oral skills. Demonstrates

reasonable expression of topic,

main idea, and purpose.

Sometimes, audience is

addressed appropriately. Language

does not interfere with the

communication of ideas and

content relevant to the

assignment. Errors in grammar,

spelling, and sentence structure

are present and may distract from

the message. Organization is a bit

unclear. Format is inconsistent.

The writing was of collegiate level

with several errors in spelling or

grammar.

Demonstrates inadequate or partially

proficient application of written, visual, or

oral skills. Demonstrates inadequate or

partial expression of topic, main idea, and

purpose. Audience is often not addressed

appropriately. Language often impedes the

communication of ideas and content

relevant to the assignment. Errors in

grammar, spelling, and sentence structure

are frequent and often distract from

meaning or presentation. Organization is

inadequate, confusing, and distracting.

The format is inadequate and obscures

meaning. The writing was less than

collegiate level with numerous errors in

spelling or grammar.

Supporting

Analysis

(15%)

Analysis exceeds minimum

requirements. Sources are used to

support analysis, are appropriate, and

are properly referenced.

Basic analysis provided to support

assertions. Sources are cited,

appropriate, and properly referenced.

Limited analysis provided to

support assertions. Some sources

are cited, appropriate, and properly

referenced.

No or inaccurate analysis, no sources are

cited when needed, analysis and/or

sources are not appropriate. When

sources are used, they are not properly

referenced.

Reading Assignment Click here for Unit 2 suggested reading materials.

Assignment Objectives

Apply critical thinking to various IT scenarios using discrete mathematics and statistics techniques.

Employ Boolean algebra concepts, including Boolean logic and operations on Boolean values.

Other Information

There is no additional information to display at this time.

Legend

Extra Credit View Assignment Rubric

Assignment Overview

Type: Individual Project

Unit: Graphs and Trees

Due Date: Tue, 2/28/17

Grading Type: Numeric

Points Possible: 120

Points Earned: 0

Deliverable Length: 1-2 pages

Go To:

Assignment Details

Learning Materials

Reading Assignment

My Work:

Online Deliverables: Submissions

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