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Misha Larkins [42]
3 years ago
11

The proof that the Clique problem is NP-complete depends on a construction given in Theorem 34.11 (p. 1087), which reduces 3SAT

to Clique. Apply this construction to the 3SAT instance: (u+v+w)(-v+-w+x)(-u+-x+y)(x+-y+z)(u+-w+-z) Note that - denotes negation, e.g., -v stands for the literal NOT v. Also, remember that the construction involves the creation of vertices which here we denote [i,j]. The vertex [r,i] corresponds to the ith literal of the rth clause. For example, [1,2] corresponds to the occurrence of literal v in the 3SAT instance above. After performing the construction, identify from the list below the one pair of vertices that does have an edge between them. a) [2,2] and [4,3] b) [1,3] and [5,2] c) [4,3] and [5,3] d) [1,2] and [2,1]

Computers and Technology
1 answer:
ki77a [65]3 years ago
5 0

Answer:

Check the explanation

Explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

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The sum of all the minterms of a boolean function of n variables is equal to 1.
Aleksandr-060686 [28]

The answers are as follows:

a) F(A, B, C) = A'B'C' + A'B'C + A'BC' + A'BC + AB'C' + AB'C + ABC' + ABC

= A'(B'C' + B'C + BC' + BC) + A((B'C' + B'C + BC' + BC)

= (A' + A)(B'C' + B'C + BC' + BC) = B'C' + B'C + BC' + BC

= B'(C' + C) + B(C' + C) = B' + B = 1


b) F(x1, x2, x3, ..., xn) = ∑mi has 2n/2 minterms with x1 and 2n/2 minterms

with x'1, which can be factored and removed as in (a). The remaining 2n1

product terms will have 2n-1/2 minterms with x2 and 2n-1/2 minterms

with x'2, which and be factored to remove x2 and x'2, continue this

process until the last term is left and xn + x'n = 1

4 0
3 years ago
Jesse purchases a new smartphone and is immediately able to use it to send a photo over the Internet to a friend who lives in a
frez [133]

Answer:

D: A single direct connection is established between any two devices connected to the Internet.

Explanation:

The internet is a complex network system made of protocols, packets, and other things. For a network to be connected, it requires the use of multiple pathways. It is unnecessary for a single direct connection because of most of the networks in this real-world travel in multiple direct connections. For example, if you want to go to Brainly.com. It first needs your IP address and then the protocols like HTTP and TCP to send it. Networks are just like traffic. If one section or a part gets blocked, they go on a different path and reach their destination. It is the same here for networks. Networks go into multiple directions to get to their destination. Therefore, a single direct connection is not required or necessary to make it possible.  

8 0
3 years ago
People who work the total hours for which they get paid have
Troyanec [42]
Perfect attendance and a salary
7 0
3 years ago
Read 2 more answers
Using the simple alphabet code below, you will decode and encode the message. Write the Full
gladu [14]

Answer:

acefghijlmb2d4k1113589136510waynopqrtuvx2261415161718202122232425

Explanation:

6 0
3 years ago
What are the advantages of mine shaft gear and the disadvantaged​
romanna [79]

Answer:

One sheave means that you are using a single drum winder. They are the worst! Double drum winders control easier, brake better and are much more efficient. They save time ( two skips or cages) and can be clutched to perform faster shift transport. A single drum is slow, unbalanced and can be a nightmare if it trips out during hoisting. If the brake system is not perfect it can be a real hairy experience. For a runaway single drum, there is no counterbalance effect. It always runs to destruction. With a double drum, the driver still has a chance to control the winder to a certain extent and he has two sets of brakes to rely on. A single sheave could also mean a shaft with a single compartment. No second means of escape unless there are ladders or stairways. Not a very healthy situation.

Those are just a few points. I am sure much more can be said in favor of a double drum winder and two or more sheaves in the headgear. Most of the shafts I have worked at have multiple winders and up to ten compartments. They all have a small single drum service winder for emergencies and moves of personnel during shift times. They are referred to as the Mary - Annes. Apparently, the name originated in the U.K. where an aristocratic mine owner named the first such winder after his mistress.

Explanation:

<em>Hope you got it </em>

<em>If you have any question just ask me</em>

<em>If you think this is the best answer please mark me as BRAINLIEST</em>

5 0
2 years ago
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