Question

True or False? Explain why?

The problem of finding a shortest path in a graph can be polynomially reduced to an instance of the integer knapsack problem

Answer 1

Answer)
The problem of finding the shortest

path in a graph can be polynomially

reduced to an instance

of the integer knapsack problem -

True
The Knapsack Problem is the problem in combinational optimization where a set of items is given and each has a weight and value. Now given this, the process to determine each item in the collection to include where the total weight of such selection of items will be less than or equal to a given limit and the total value is made as large as possible. In simple words, the weights and the values of n items are given and from them, we have to select the items which are in a Knapsack of the max weight which has to get the maximum total value.