Show that Decision-ILP is strongly NP-complete
Show that the decision version of the knapsack problem is NP-complete. (Hint: In your reduction, make use of the partition problem: given n positive integers, partition them into two disjoint subsets with the same sum of their elements. The partition problem is NP-complete.)
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.
Hi, this question is from
Theory of Computation. Kindly help if you can.
Exercise 1 Define a language L to be co-NP-complete if it is in co-NP and a languages in co-NP can be polynomial-time reduced to L. Say that a formula of quantified boolean logic is a universal sentence if it is a sentence (i.e., has no free variables) of the form Vai... Vxn(V) where> is a propositional logic formula (contains no quantifiers). Show that the language to I...
4. a) Define the concept of NP-completeness b) If A is NP-complete, and A has a polynomial time algorithm, then show that there is a polynomial time algorithm to find a longest path in a directed graph.
Question 7 2 pts The complexity class NP-complete contains decision problems in both and Question 8 2 pts The best known solution to an NP-compete problem takes number of operations. Question 9 2 pts Is there a way to partition S = {4, 2, 6, 3, 8,5} into two sets with equal sum? Question 10 2 pts How many subsets of S = {4, 2, 6, 3,8} to 12? Question 11 2 pts The longest common sub-sequence between LIGHTSABER and...
Show that PARTITION is
NP-complete by reduction from SUBSET-SUM.
Given a set of integers, we say that can be partitioned if it can be split into two sets U and V so that considering all u EU and all v € V, Eu = Ev. Let PARTITION = { <S> S can be partitioned ). Show that PARTITION IS NP-complete by reduction from SUBSET-SUM.
prove k bounded spanning tree is NP complete using the fact hamiltonian graphs is NP complete
Every problem in NP is polynomially reducible to every
NP-complete problem.
Group of answer choices
Every problem in NP is polynomially reducible to every NP-complete problem. True False
4. a) Define the concept of NP-completeness b) If A is NP-complete, and A has a polynomial time algorithm, then a polynomial time algorithm to find a longest path in a directed graph.
4. a) Define the concept of NP-completeness b) If A is NP-complete, and A has a polynomial time algorithm, then a polynomial time algorithm to find a longest path in a directed graph. Answer: