What is an example of a computational complexity?
Examples include the traveling salesman problem, graph isomorphism, and factoring large integers.
Circuit lower bounds: Despite many efforts, there is still no known general technique for proving lower bounds on the size of Boolean circuits that compute specific functions..
What is computational complexity and theory?
Computational complexity theory is a mathematical research area in which the goal is to quantify the resources required to solve computational problems.
It is concerned with algorithms, which are computational methods for solving problems..
What is computational complexity of a game?
The computational complexity of a game describes the asymptotic difficulty of a game as it grows arbitrarily large, expressed in big O notation or as membership in a complexity class..
What is game theory in theory of computation?
Game Theory is a topic in competitive programming that involves a certain type of problem, where there are some players who play a game based on given rules and the task is often to find the winner or the winning moves..
What is meant by computational complexity theory?
Computational complexity theory is a mathematical research area in which the goal is to quantify the resources required to solve computational problems.
It is concerned with algorithms, which are computational methods for solving problems..
Who invented computational complexity?
The key idea to measure time and space as a function of the length of the input came in the early 1960's by Hartmanis and Stearns.
And thus computational complexity was born.
In the early days of complexity, researchers just tried understanding these new measures and how they related to each other..
- computational complexity, a measure of the amount of computing resources (time and space) that a particular algorithm consumes when it runs.
- Game Theory is a topic in competitive programming that involves a certain type of problem, where there are some players who play a game based on given rules and the task is often to find the winner or the winning moves.
- The analysis of algorithms is the process of finding the computational complexity of algorithms.
Usually, this involves determining a function that relates the length of an algorithm's input to the number of steps it takes (its time complexity) or the number of storage locations it uses (its space complexity). - This may also be used for tuning complex algorithms without testing all variants.
By determining the most costly steps of a complex algorithm, the study of complexity allows also focusing on these steps the effort for improving the efficiency of an implementation.
