The subset-sum problem is one of the most frequently occurring NP (nondeterministic, polynomial-time)-complete) problems. It asks whether a subset of numbers in a set of positive integers adds up ...

In Section 1 we introduce the problem of finding minimal-height sets of $n$ natural numbers with distinct subset-sums (SSD), and in Section 2 review the well-known ...

Light propagates in a three-dimensional photonic circuit to solve the subset sum problem. The image of the reconfigurable photonic processor is based on the research presented. As technology advances, ...

We generalize the classical knapsack and subset sum problems to arbitrary groups and study the computational complexity of these new problems. We show that these problems, as well as the bounded ...

In computational complexity theory, P and NP are two classes of problems. P is the class of decision problems that a deterministic Turing machine can solve in polynomial time. In useful terms, any ...

As technology advances, the limitations of conventional electronic computers are becoming increasingly apparent, especially when tackling complex computational challenges. NP-complete problems, which ...