Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Complexity class

In computational complexity theory, a complexity class is a set of computational problems "of related resource-based complexity". The two most commonly analyzed resources are time and memory.

Other models of computation, Background & Properties of complexity classes

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around Complexity class. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Background

Basic complexity classes

Properties of complexity classes

Relationships between complexity classes

Other models of computation

Other types of problems

Summary of relationships between complexity classes

Bibliography

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Complexity class

Nodes165
Edges164
Triples191
Avg. degree1.99
Density0.012121
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Complexity class

Top relations

related to Bibliography · 89
Complexity class → Aaronson, Alan, Alen, Algorithms, Applications, April, Archived, Arnold, Arora, Automata, Barak, Boaz, Cambridge University Press, Catalog, Complexity, Complexity Classes, Complexity Theory Retrospective II, Computability, Computation, Computational Complexity
related to Further reading · 19
Complexity class → Archived, Co, Computational Complexity Theory, Computers, David, Freeman, Guide, Includes, Intractability, Johnson, Michael Garey, Neil Immerman, New York, NP-Complete, NP-Completeness, The, The Complexity Zoo Archived, Theory, Wayback Machine
related to Other models of computation · 16
Complexity class → ACA, AMA, Boolean, BPP, BQP, In, IP, MA, NC, P/poly, PP, QMA, RP, Turing, While, ZPPA
related to Computational models · 11
Complexity class → By, Computational, For, In, Other, The, These, To, Turing, While, With
related to Basic definitions · 8
Complexity class → Complexity, DSPACE, DTIME, NSPACE, NTIME, The, Turing, Using
related to Closure · 7
Complexity class → Boolean, Closure, Complexity, Each, For, Moreover, NP
related to Resource bounds · 7
Complexity class → Complexity, EXPTIME, For, More, Note, There, To
related to background · 6
Complexity class → Complexity, For, In, More, They, Turing
related to Reductions · 6
Complexity class → For, Formally, Generally, Many, Sigma, Thus
related to Interactive proof systems · 5
Complexity class → Interactive, NO, NP, The, YES

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

complexity problems displaystyle time turing problem classes machine np class polynomial computational defined deterministic function space input set number proof

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Complexity classis aset of computational problems0.90text
Complexity classrelated to backgroundComplexity0.60section
Complexity classrelated to backgroundThey0.60section
Complexity classrelated to backgroundMore0.60section
Complexity classrelated to backgroundIn0.60section
Complexity classrelated to backgroundTuring0.60section
Complexity classrelated to backgroundFor0.60section
Complexity classrelated to Basic definitionsComplexity0.60section
Complexity classrelated to Basic definitionsDTIME0.60section
Complexity classrelated to Basic definitionsNTIME0.60section
Complexity classrelated to Basic definitionsDSPACE0.60section
Complexity classrelated to Basic definitionsNSPACE0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.