Research any topic before you write.

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

Clique problem

In computer science, the clique problem is the computational problem of finding cliques (subsets of vertices, all adjacent to each other, also called complete subgraphs) in a graph. It has several different formulations depending on which cliques, and what information about the cliques, should be found. Common formulations of the clique problem include…

History, Applications & Science

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 Clique problem. 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

History and applications

Definitions

Algorithms

Lower bounds

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

Clique problem

Nodes138
Edges137
Triples117
Avg. degree1.99
Density0.014493
Components1

How this topic connects Entity context

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

Clique problem

Top relations

related to history · 24
Clique problem → Also, But, Cook, Erdős, Feige, For, Harary, In, Karp, Luce, Many, NP, NP-completeness, Perry, Ramsey, Ross, See, Since, Social, Szekeres
related to NP-completeness · 21
Clique problem → Because, Boolean, CNF, Cook, From, If, It, Karp, Karp's NP-completeness, Levin, NP-complete, NP-hard, Reducibility Among Combinatorial Problems, Richard Karp's, Satisfiability, Stephen Cook's, That, The, Therefore, This
related to Hardness of approximation · 17
Clique problem → After, An, Boolean, Depending, False, For, Garey, However, If, In, Johnson, NP, NP-complete, NP-hard, The, They, Weak
related to Finding maximum cliques in arbitrary graphs · 15
Clique problem → Bron, DIMACS, DNA, However, It, Jian, Kerbosch, Non-standard, Robson, Robson's, Tarjan, The, There, These, Trojanowski
related to Fixed-parameter intractability · 12
Clique problem → Although, Because, Cook, Downey, Fellows, For, Levin, Moreover, Parameterized, That, They, Thus
related to Special classes of graphs · 11
Clique problem → Conversely, Even, For, However, In, Kuratowski's, Kőnig's, Lempel, Perfect, Planar, Pnueli
related to Approximation algorithms · 7
Clique problem → Although, Boppana, By, Feige, Halldórsson, Several, The
related to Circuit complexity · 6
Clique problem → Additionally, Because, Even, However, NOT, The
is a · 2
Clique problem → computational problem of finding cliques, special case in which all weights are equal

Important terminology Word statistics

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

Important terminology

clique problem cliques graph algorithm maximal time maximum vertices graphs number algorithms finding size one also possible decision polynomial problems

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Clique problemis acomputational problem of finding cliques0.90text
Clique problemis aspecial case in which all weights are equal0.90text
theirs in which the running time depends on the output size is known as an output-sensitive algorithminstance ofAn algorithm0.80text
the Boolean satisfiability probleminstance ofNP.The rough idea of these inapproximability results is to form a graph that represents a probabilistically checkable proof system for an NP-complete problem0.80text
Clique problemrelated to Approximation algorithmsSeveral0.60section
Clique problemrelated to Approximation algorithmsAlthough0.60section
Clique problemrelated to Approximation algorithmsFeige0.60section
Clique problemrelated to Approximation algorithmsBy0.60section
Clique problemrelated to Approximation algorithmsBoppana0.60section
Clique problemrelated to Approximation algorithmsHalldórsson0.60section
Clique problemrelated to Approximation algorithmsThe0.60section
Clique problemrelated to Circuit complexityThe0.60section

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.