Every problem in NP is polynomially reducible to every NP-complete problem.
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Homework Answers
Answer:
True
explanation:
the definition of an NP-complete problem states that every problem in NP must be quickly reducible to every NP-complete problem that is, it can be reduced in polynomial time...
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Every problem in NP is polynomially reducible to every
NP-complete problem.
Group of answer choices
Every...
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If L1 and L2 are Regular Languages, then L1 ∪ L2 is a CFL. Group of answer choices...
If L1 and L2 are Regular Languages, then L1 ∪ L2 is a CFL. Group of answer choices True False Flag this Question Question 61 pts If L1 and L2 are CFLs, then L1 ∩ L2 and L1 ∪ L2 are CFLs. Group of answer choices True False Flag this Question Question 71 pts The regular expression ((ac*)a*)* = ((aa*)c*)*. Group of answer choices True False Flag this Question Question 81 pts Some context free languages are regular. Group of answer choices True...
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Show that the independent set problem is NP-complete through the following two steps: 1. Show that the problem is in NP. 2. Show that 3SAT is poly-time reducible to the problem.
If a deterministic polynomial algorithm is found for any NP-complete problem, then it must be the...
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10. In the proof that the 3SAT problem is polynomially reducible to the SUBSET SUM problem,...
10. In the proof that the 3SAT problem is polynomially reducible to the SUBSET SUM problem, put of the 3SAT problem) to a set of numbers and a target number as input of the SUBSET_SUM problem arbitrary boolean expression in 3CNF (in- we convert an (a) Please ilustrate the conversion by giving the set of numbers and the target number that will be obtained from the following boolean expression: (T ) . (b) The original boolean expression is satisfiable. reduction...
Claim: It is known that any NP-complete problem will require exponential time (that is, a polynomial...
Claim: It is known that any NP-complete problem will require exponential time (that is, a polynomial time algorithm for it is known to be impossible). TRUE or FALSE?
25. (1 point) Suppose A is some language in the class NP and B is NP-complete....
25. (1 point) Suppose A is some language in the class NP and B is NP-complete. Which of the following could be false? A. A is polynomial time reducible to B. B. Given a decider for B which runs in polynomial time, it is possible to decide A in polynomial time. C. Given a decider for A which runs in polynomial time, it is possible to decide B in polynomial time. D. Given a decider for B which runs in...
3. (3 pts) Two well-known NP-complete problems are 3-SAT and TSP, the traveling salesman problem. The...
3. (3 pts) Two well-known NP-complete problems are 3-SAT and TSP, the traveling salesman problem. The 2-SAT problem is a SAT variant in which each clause contains at most two literals. 2-SAT is known to have a polynomial-time algorithm. Is each of the following statements true or false? Justify your answer. a. 3-SAT sp TSP. b. If P NP, then 3-SAT Sp 2-SAT. C. If P NP, then no NP-complete problem can be solved in polynomial time.
Nitrogen fixation (conversion of N2 to NH4+): requires the nitrogenase complex. Group of answer choices True...
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If a deterministic polynomial algorithm is found for any NP-complete problem, then it must be the case that P + NP. O True False
10. In the proof that the 3SAT problem is polynomially reducible to the SUBSET SUM problem, put of the 3SAT problem) to a set of numbers and a target number as input of the SUBSET_SUM problem arbitrary boolean expression in 3CNF (in- we convert an (a) Please ilustrate the conversion by giving the set of numbers and the target number that will be obtained from the following boolean expression: (T ) . (b) The original boolean expression is satisfiable. reduction...
Claim: It is known that any NP-complete problem will require exponential time (that is, a polynomial time algorithm for it is known to be impossible). TRUE or FALSE?
25. (1 point) Suppose A is some language in the class NP and B is NP-complete. Which of the following could be false? A. A is polynomial time reducible to B. B. Given a decider for B which runs in polynomial time, it is possible to decide A in polynomial time. C. Given a decider for A which runs in polynomial time, it is possible to decide B in polynomial time. D. Given a decider for B which runs in...
3. (3 pts) Two well-known NP-complete problems are 3-SAT and TSP, the traveling salesman problem. The 2-SAT problem is a SAT variant in which each clause contains at most two literals. 2-SAT is known to have a polynomial-time algorithm. Is each of the following statements true or false? Justify your answer. a. 3-SAT sp TSP. b. If P NP, then 3-SAT Sp 2-SAT. C. If P NP, then no NP-complete problem can be solved in polynomial time.
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