At the same time, progress in invariant theory has contributed significantly to the development of deterministic algorithms by establishing concrete polynomial degree bounds for matrix invariants ...

A polynomial-time approximation algorithm for the permanent of a matrix with non-negative entries Mark Jerrum, Alistair Sinclair (UC Berkeley) and Eric Vigoda (Georgia Tech) received the Association ...

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… ...

In 1958, Wagner and Whitin published a seminal paper on the deterministic uncapacitated lot-sizing problem, a fundamental model that is embedded in many practical production planning problems. In this ...

Non-Deterministic Polynomial-Time (NP) Problems: In contrast, NP problems are significantly more challenging.

In this article we present applications of smooth numbers to the unconditional derandomization of some well-known integer factoring algorithms. We begin with Pollard's p – 1 algorithm, which finds in ...