define a reduction. show how the input of one problem is transformed into the input of another problem with an example.

Answers

Answer 1

In computer science, a reduction is a way of transforming an instance of one problem into an instance of another problem in a way that preserves the answer.

Specifically, if we can efficiently solve the transformed instance, then we can use that solution to efficiently solve the original instance.

The reduction is typically achieved by using a function that maps the input of one problem to the input of another problem. This function is usually called a reduction function, and it must satisfy two conditions: (1) it must be computable in polynomial time, and (2) it must preserve the answer, i.e., the solution to the transformed instance must be equivalent to the solution of the original instance.

For example, let's consider the problem of determining whether a given graph is bipartite. A graph is bipartite if its vertices can be divided into two sets, such that there are no edges between vertices in the same set. The problem of determining whether a graph is bipartite is known to be NP-complete, which means that it is unlikely that there is a polynomial time algorithm to solve it.

Now, suppose we have another problem, known as the problem of determining whether a given graph has a Hamiltonian cycle. A Hamiltonian cycle is a cycle that visits every vertex of the graph exactly once. This problem is also known to be NP-complete.

We can show a reduction from the problem of determining whether a graph is bipartite to the problem of determining whether a graph has a Hamiltonian cycle. The reduction function takes an instance of the bipartite graph problem and transforms it into an instance of the Hamiltonian cycle problem in the following way:

Construct a new graph that is identical to the bipartite graph, but with an additional vertex that is connected to every vertex in one of the bipartite sets.

Apply the Hamiltonian cycle algorithm to the new graph.

It can be shown that the original graph is bipartite if and only if the new graph has no Hamiltonian cycle. Therefore, a polynomial time algorithm for solving the Hamiltonian cycle problem can be used to solve the bipartite graph problem.

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Answer 2

A reduction is a method that transforms the input of one problem into the input of another problem, establishing a relationship between them. An example is reducing the Boolean satisfiability problem (SAT).

What is Reduction?

In computational complexity theory, a reduction is a method used to establish the relationship between two problems. It involves transforming the input of one problem into the input of another problem in such a way that the solution to the second problem can be obtained using the solution of the first problem.

This allows us to analyze the computational difficulty of one problem based on the known difficulty of another.

An example is reducing the Boolean satisfiability problem (SAT) to the graph coloring problem, where the satisfiability instance is transformed into a graph instance.

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Related Questions

Determine if true or false Goal Seek immediately attempts to apply the function to the adjacent cells.

Answers

Answer:

The answer is "False".

Explanation:

This function the part of Excel, that allows a way to resolve the desirable result by manipulating an underlying expectation. This function is also called What-if-Analysis, which is used to test, and an error approach to address the problem by linking guesses before the answer comes.  On the Data tab, throughout the Data Tool category, and select Target Check it provides a    reference that includes a formula to also be solved throughout the Set cell box.

function of printer and speaker​

Answers

Nepal .... Free Fire

What are Layers in computer class 7. no scams please​

Answers

Answer:

It means and organisation programming into separate functional components that interact in some sequential and hierarchical way, with each layer usually having an interface only to the layer above it and the layer below it.

5. What is the significance of the EXIT DO and EXIT FOR statements?​

Answers

Answer:

Exit Do transfers control to the statement following the Loop statement. When used within nested Do...Loop statements, EXIT DO transfers control to the loop that is one nested level above the loop where it occurs.

When used within nested For loops, EXIT FOR transfers control to the loop that is one nested level above the loop where it occurs.

Explanation:

I HOPE it can help....

Need help ASAP

Thankss + BRAINLIST only for correct answers

Answers

Answer:

The purpose to the user is to buy items online.

The purpose to the creator is to have a worldwide service chain to deliver packages.

Vising this website gives access to the items consumers need and allows them to get them shipped right to their door.

It was made so the creator can lots of money along with making a lot of jobs to slow the unemployment rate.

Explanation:

I pulled a lot of this from my head and reading about schollarships Amazon has for students. Amazon is a shopping website. Therefore the user can buy things and it gives the creator money along with making jobs for others.

A virus which deceive the user by acting as a legitimate file.

Answers

Answer:

A Trojan virus

Explanation:

It acts like a bona fide application or file to trick you. It seeks to deceive you into loading and executing the malware on your device

Which Creative Commons license type allows others to use and build upon work non-commercially, provided that they credit original author and maintain the same licensing?

Answers

Answer:

Creative Commons license type allows others to use and build upon work non-commercially, provided that they credit original author and maintain the same licensing is described below in detail.

Explanation:

Attribution-Non financially-ShareAlike

This permission lets others adapt, remix, and develop upon your work non-financially, as long as they charge you and license their new inventions under identical times. There are six separate license classes, scheduled from most to least licensed. the material in any mechanism or arrangement, so long as attribution is given to the originator.

which of the following can be represented by a sequence of bits. 1. An integer 2. An alphanumeric character 3. A machine language instruction

Answers

Answer:

all of them

Explanation:

In a computer program, this is how numbers, text and program instructions are stored.

Question #5
Multiple Choice
What is used within an HTML tag for additional information?
O attribute
O anchor
O hyperlink
metadata

Answers

Answer: Attribute

Explanation: Attribute is used in HTML tags for additional information. Correct on Edg 2021.

Answer: attribute

Edge '23

[4]
) Describe what is involved in the clearing of bank cheques which the bank has collected in the
course of the day.


Plz any answer need it quickly help me if you know

Answers

Answer:

The clearing process begins with the deposit of a cheque in a bank. ... The cheque is passed for payment if the funds are available and the banker is satisfied about the genuineness of the instrument. The cheques that are unpaid are returned to the presenting bank through another clearing called the Return Clearing.

hopes this helps you?????????

Explanation:

Write a program to allow user to perform any of these list operation given in a menu. The menu is: a) Append an element b) Insert an element c) Modify an existing element d) Delete an existing element with a given value e) Sort the list in descending order f) Display the list.

Answers

Answer:

c

Explanation:

Which of the following is an event handler?

scanning a credit card when you shop

displaying a message

clicking a mouse button

moving a mouse

Answers

That which accurately describes an event handler is this:

B. Displaying a message

What is an event handler?

An event handler refers to a system that can be used to verify the input by a user. An event handler can also be used to see the browsing actions and other histories executed by a user.

Displaying a message fits in as an example of an event handler because it is through this means that one can see the input and user actions that were done some time ago. An event handler is a very vital necessity in programming activities. So, option B fits the meaning of an event handler.

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Answer:

Displaying a message

Explanation:

5. Which part regulates the amount of light that passes up toward the eyepiece?
A. stage
C. diaphragm
B.eyepiece
D. revolving nosepiece
the tot​

Answers

Answer:

C. diaphragm

Explanation:

Microscope is very important instrument in biology and use to magnify the specimen or other biological objects.

Eyepiece, stage, diaphragm and  revolving nosepiece are some of the important part of the microscope with different functions. such as Eyepiece carry the Ocular lens that helps to look the specimen, stage allows light to pass through, diaphragm regulates the amount of light reaches the eyepiece, and revolving nosepiece are use to change magnification.

So, Diaphragm controls the light that passes up toward the eyepiece and help in viewing the specimen. Diaphragm is located below the stage and above the condenser.

Hence, the correct answer is "C. diaphragm".

Answer:

C. Diaphragm is the answer.

Explanation:

#Bonjour

Choose the correct qurey to remove a record with names "John" in the persons table
(a) Delete from persons where name="John";(b) Delete from table1 where name="John";(c) Delet from persons where name="John";(d) Delet from persons where name="Alex";

Answers

Answer:

a

Explanation:

The correct syntax would be:

DELETE FROM persons WHERE name='John'

i.e., use single quotes. Uppercase keywords is not required but preferred by many.

REALLY EASY NEED HELP!! REWARD BRAINLIEST

Answers

Answer:

c

Explanation:

Answer: It is the first one

Explanation:

a presentation is widely used to present ______ and ______ effectively​

Answers

Answer:

a presentation is widely used to present beautiful and more effectively

Explanation:

hope it will help you :)

Manipulating Images: Which aspect helps you to change the luminescence of your image?

Answers

Answer:

the aspect that help you change the luminescence of your image is iframe

What is the difference between the casual and consultative conversation? Why is it important for a person to know the difference between the two?​

Answers

Answer:

The answer is below

Explanation:

Casual conversation is a form of conversation that occurs between friends and families. There are no specific rules or manner in which the participants speak to each other. It is otherwise known as Informal Conversation.

Consultative conversation on the other hand is a form of conversation that occurs between people who have a close relationship but not actual friends or families.

For example, people involved in this type of conversation are the likes of Doctors and Patients, Counsellors and Students, etc. It is often considered a Semi-formal conversation.

The reason a person needs to know the difference between the two styles of conversation is for individuals to know how to present and conduct themselves appropriately during the conversation.

In your own words, describe innovation.

Answers

Answer:

Something that revolutionizes a product

Explanation:

Innovation typically means completely change something that makes everyone wow. A example of this would be a car, the innovational car would have fridge in the back seat. (No current cars have this)

Hope this helps and make sure to thank me!

List out two ways to execute the script.​

Answers

Answer:

1) Execute Shell Script Using File Name. Use the shell script file name to execute it either by using it's relative path or absolute path as shown below

2) Execute Shell Script Using Source Command.

Which area of government regulations do the Fair Credit and Reporting Act
(FCRA) and the Gramm-Leach-Bliley Act (GLB) relate to?
A. Advertising
B. Health and safety
C. Privacy and security
D. Employment and labor

Answers

Answer:   C. Privacy and security

Explanation:  100% correct

Alice just wrote a new app using Python. She tested her code and noticed some of her lines of code are out of order. Which principal of programing should Alice review?

Hand coding
Line coding
Planning & Analysis
Sequencing

Answers

Answer:

Sequencing

Explanation:

I have taken the test

who developed vacuum tube and when?​

Answers

Answer:

In 1904, John Ambrose Fleming invented the first vacuum tube.

Explanation:

Jon Ambrose Flemming invented the vacuum tube in 1904

How do you interpret and analyze photographs? What method comes most
naturally to you when interpreting and analyzing photographic works? Identify and
discuss the methods and strategies that you use to interpret and analyze
photographs.

Answers

Answer:

You interpret and analyze photographs by observing detail.

Explanation:

What is the difference, if any, between a social media strategist and a social media specialist?

A. They are very similar occupations, except that social media specialists tend to have more training.

B. A social media strategist determines how an organization will maintain a social media presence, and the specialist creates the content.

C. There is no difference—these are the same job with slightly different titles.

D. A social media specialist determines how an organization will maintain a social media presence, and the strategist creates the content.

Thank you!

Answers

The answer is D you welcome :D

A social media strategist is an expert who is involved in determining the presence of an organization over the social media; whereas, a specialist is involved in creating the content for social media.

What is social media?

The use of computer networks and internet for the purpose of sharing and expressing one's views with the connections over such platform is known as a social media.

A social media strategist, for an organization, will be involved in maintenance of the social media activeness of the organization; whereas, the content for such presence is in the hands of a specialist.

Hence, option B holds true regarding the roles of handling social media of an organization.

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Write the Python programs for the
following:
To input a number and check if it is
even or odd number​

Answers

Answer:

num = int(input("Enter a number: "))

if (num % 2) == 0:

print("{0} is Even number". format(num))

else:

print("{0} is Odd number". format(num))

47. Which of these examples demonstrates good netiquette?
Typing a comment on a video detailing how boring and poorly made it is.

A-Sending an email without a salutation or a signature.

B-Posting a blog article about how stuck-up your peers are.

C-Being straightforward and truthful in all electronic communications.

Answers

Answer:

typing it, on a video detailing how boring and poorly made it is

Explanation:

this is an example of good netiquette because they are criticizing the video game and what good netiquette is is making a comment relevant to the original message. the original message being the video game

'Using more formatting options improves a document.' Do you agree with this statement? Why or why not

Answers

Answer:

Yes, I agree with the given statement: 'Using more formatting options improves a document.'

Explanation:

Formatting improves the readability of documents for end users.

Formatting features like aligning text vertically and horizontally, changing margin and line spacing change the layout of page in the document that makes a document look more presentable.

So, yes, I agree with the given statement: 'Using more formatting options improves a document.'

Page No
Date T 1 1
Ist
ament Write a program in java to find the area and
perimeter of right angled triangle by using function argument.




Answers

Answer:

ila bgfffsg hqhffa hhfw ygga gha yqvvty1uh' fttyavt h5tfauv gtta76rq

Please help

Measure the thickness of a razor blade using a vernier caliper and screw gauge. What is the lowest count of these instruments? Which measuring
Instrument is more accurate? You can take multiple blades and stack them together, then measure thickness, and find out the average thickness.

Answers

Answer:

Is this question related to computers and technology?

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