I'm trying to understand algorithm complexity, and a lot of algorithms are classified as polynomial. I couldn't find an exact definition anywhere. I assume it is the complexity that is not exponent...

Nov 30, 2010 · Could someone explain the difference between polynomial-time, non-polynomial-time, and exponential-time algorithms? For example, if an algorithm takes O(n^2) time, then …

To understand the difference between polynomial time and pseudopolynomial time, we need to start off by formalizing what "polynomial time" means. The common intuition for polynomial …

Sep 23, 2017 · 7 Computational Complexity Theory is complex. My understanding of polynomial time is in relation to other time complexity classes, such as non-deterministic polynomial time. …

However, there are natural algorithms with $2^n$ run-time for some problems, and fundamental questions in complexity theory about whether a polynomial algorithm for such problems exist.

Nov 9, 2013 · An algorithm is said to be solvable in polynomial time if the number of steps required to complete the algorithm for a given input is O (n^m) for some nonnegative integer …

Dec 7, 2009 · NP-Complete NP-Complete is a complexity class which represents the set of all problems X in NP for which it is possible to reduce any other NP problem Y to X in polynomial …

Dec 27, 2010 · Time complexity grows exponentially in the size of W in binary (or decimal) representation. Another simple example that helped me understand the pseudo-polynomial …

I have read that many experts think that they would have used the verifier definition as the main definition and even would have named the class $\mathsf {VP}$ (for verifiable in polynomial …

Jul 4, 2022 · Polynomial time algorithms! How do polynomial time algorithms (PTAs) actually relate to the processing power, memory size (RAM) and storage of computers? We consider …