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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.
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 ...
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 ...
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.
In fact, there is now a polynomial time algorithm which when give an n-bit number as input outputs yes, if the input is the binary representation of a prime, and says no if it is not.
These algorithms are significant because they can solve the noncommutative weighted Edmonds' problem in polynomial time, demonstrating that certain complex problems can be tackled efficiently[2].