Question: Prove that problem 0-1 Knapsack Decision is in the class NP-complete.

Prove that problem 0-1 Knapsack Decision is in the class NP-complete.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To prove that the 01 Knapsack Decision problem is NPcomplete we need to satisfy two conditions Prove that the problem is in NP Show that the problem i... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

1456HHSC attend all (a) In the quantum teleportation protocol, Alice and Bob are every in possession of one qubit of a couple in the joint country00i + statei. Explain how the protocol works. In...

The 0-1 knapsack problem is the following: a thief robbing a store finds n items. The ith item is worth v_i dollars and weighs w_i kilos with i and w_i positive integers. The thief wants to take as...

An instance of the 0 - 1 Knapsack decision problem is a triple ( I , c , p ) , where I = { x 1 , dots, x n } is a set of n items, c 0 is the knapsack capacity, and p 0 is the desired profit....

Show that 0 - 1 knapsack decision problem is NP - Complete ( hint: sum of subsets is NP - Complete ) .

Show that 0 - 1 knapsack decision problem is NP - Complete

f a processor exhibited one branch delay slot how would you reorder (and possibly modify) the instructions in the following loop to gain a performance advantage? loop ldr r2,r3,#4 % r2=load(r3),...

Digital Communication I X A B C D Y Hosts X and Y are communicating through the data network provided by the switches A, B, C and D and the links interconnecting them as shown above. Initially all...

rr1 all questions should be answered correctly SECTION C 9 Foundations of Functional Programming Consider binary trees that are either empty (written Lf) or have the form Br x t1 t2 where t1 and t2...

What is an operating system kernel, and what runtime services does an executable binary program expect from a typical time-sharing kernel? How may transfer of control (program flow) between the...

What are two limitations of Marshalls analysis of consumers surplus?

The article Thats Rich: More You Drink, More You Earn(Calgary Herald, April 16, 2002) reported that there was a positive correlation between alcohol consumption and income. Is it reasonable to...

ASSIGNMENT Due Date: Wednesday, 1 6 t h April 2 0 2 5 XYZ Manufacturing Company produces a single product. The following standards have been set for each unit of product: Direct Materials: 4 kg per...

8:37 * N. 80% i ... OBJECTIVES: Create relationships Create a Pivot Table from Related Tables Create a PivotChart Modify the PivotChart The major section in this chapter :ontinuation is: Data...