Similarities between P versus NP problem and Polynomial-time reduction
P versus NP problem and Polynomial-time reduction have 17 things in common (in Unionpedia): Algorithm, Complexity class, Computational complexity theory, Decision problem, EXPTIME, Graph (discrete mathematics), Graph isomorphism problem, Karp's 21 NP-complete problems, NP (complexity), NP-completeness, NP-hardness, P (complexity), Polynomial hierarchy, PSPACE, Reduction (complexity), Stephen Cook, Time complexity.
Algorithm
In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.
Algorithm and P versus NP problem · Algorithm and Polynomial-time reduction ·
Complexity class
In computational complexity theory, a complexity class is a set of problems of related resource-based complexity.
Complexity class and P versus NP problem · Complexity class and Polynomial-time reduction ·
Computational complexity theory
Computational complexity theory is a branch of the theory of computation in theoretical computer science that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other.
Computational complexity theory and P versus NP problem · Computational complexity theory and Polynomial-time reduction ·
Decision problem
In computability theory and computational complexity theory, a decision problem is a problem that can be posed as a yes-no question of the input values.
Decision problem and P versus NP problem · Decision problem and Polynomial-time reduction ·
EXPTIME
In computational complexity theory, the complexity class EXPTIME (sometimes called EXP or DEXPTIME) is the set of all decision problems that have exponential runtime, i.e., that are solvable by a deterministic Turing machine in O(2p(n)) time, where p(n) is a polynomial function of n. In terms of DTIME, We know and also, by the time hierarchy theorem and the space hierarchy theorem, that so at least one of the first three inclusions and at least one of the last three inclusions must be proper, but it is not known which ones are.
EXPTIME and P versus NP problem · EXPTIME and Polynomial-time reduction ·
Graph (discrete mathematics)
In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".
Graph (discrete mathematics) and P versus NP problem · Graph (discrete mathematics) and Polynomial-time reduction ·
Graph isomorphism problem
The graph isomorphism problem is the computational problem of determining whether two finite graphs are isomorphic.
Graph isomorphism problem and P versus NP problem · Graph isomorphism problem and Polynomial-time reduction ·
Karp's 21 NP-complete problems
In computational complexity theory, Karp's 21 NP-complete problems are a set of computational problems which are NP-complete.
Karp's 21 NP-complete problems and P versus NP problem · Karp's 21 NP-complete problems and Polynomial-time reduction ·
NP (complexity)
In computational complexity theory, NP (for nondeterministic polynomial time) is a complexity class used to describe certain types of decision problems.
NP (complexity) and P versus NP problem · NP (complexity) and Polynomial-time reduction ·
NP-completeness
In computational complexity theory, an NP-complete decision problem is one belonging to both the NP and the NP-hard complexity classes.
NP-completeness and P versus NP problem · NP-completeness and Polynomial-time reduction ·
NP-hardness
NP-hardness (''n''on-deterministic ''p''olynomial-time hardness), in computational complexity theory, is the defining property of a class of problems that are, informally, "at least as hard as the hardest problems in NP".
NP-hardness and P versus NP problem · NP-hardness and Polynomial-time reduction ·
P (complexity)
In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class.
P (complexity) and P versus NP problem · P (complexity) and Polynomial-time reduction ·
Polynomial hierarchy
In computational complexity theory, the polynomial hierarchy (sometimes called the polynomial-time hierarchy) is a hierarchy of complexity classes that generalize the classes P, NP and co-NP to oracle machines.
P versus NP problem and Polynomial hierarchy · Polynomial hierarchy and Polynomial-time reduction ·
PSPACE
In computational complexity theory, PSPACE is the set of all decision problems that can be solved by a Turing machine using a polynomial amount of space.
P versus NP problem and PSPACE · PSPACE and Polynomial-time reduction ·
Reduction (complexity)
In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem.
P versus NP problem and Reduction (complexity) · Polynomial-time reduction and Reduction (complexity) ·
Stephen Cook
Stephen Arthur Cook, (born December 14, 1939) is an American-Canadian computer scientist and mathematician who has made major contributions to the fields of complexity theory and proof complexity.
P versus NP problem and Stephen Cook · Polynomial-time reduction and Stephen Cook ·
Time complexity
In computer science, the time complexity is the computational complexity that describes the amount of time it takes to run an algorithm.
P versus NP problem and Time complexity · Polynomial-time reduction and Time complexity ·
The list above answers the following questions
- What P versus NP problem and Polynomial-time reduction have in common
- What are the similarities between P versus NP problem and Polynomial-time reduction
P versus NP problem and Polynomial-time reduction Comparison
P versus NP problem has 146 relations, while Polynomial-time reduction has 34. As they have in common 17, the Jaccard index is 9.44% = 17 / (146 + 34).
References
This article shows the relationship between P versus NP problem and Polynomial-time reduction. To access each article from which the information was extracted, please visit: