Polynomial Time Algorithm: An algorithm whose running time is upper bounded by a polynomial expression in the size of the input, considered efficient in computer science.

Mark Jerrum, Alistair Sinclair (UC Berkeley) and Eric Vigoda (Georgia Tech) received the Association for Computing Machinery (ACM) Test of Time Award at a virtual ceremony on Wednesday 23 June at the ...

The amount of time it takes for an algorithm to solve a polynomial function, which is a mathematical expression that does not contain fractions or negative numbers. The time is proportional to the ...

Mathematicians believe that this is unsolvable by polynomial-time algorithms in Turing’s framework. Factoring an integer means finding a smaller integer greater than 1 that can divide the integer.

That is, problems for which efficient algorithms exist are only a subset of the problems for which yes instances can be verified in polynomial time. However, this has not been proved.