Research any topic before you write.

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

Maximum cut

In a graph, a maximum cut is a cut whose size is at least the size of any other cut. That is, it is a partition of the graph's vertices into two complementary sets S and T, such that the number of edges between S and T is as large as possible. Finding such a cut is known as the max-cut problem.

Applications & Art

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 Maximum cut. 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

Lower bounds

Computational complexity

Algorithms

Applications

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

Maximum cut

Nodes59
Edges58
Triples42
Avg. degree1.97
Density0.033898
Components1

How this topic connects Entity context

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

Maximum cut

Top relations

related to Parameterized algorithms and kernelization · 14
Maximum cut → Balanced Subgraph Problem, BSP, Crowston, Edwards-Erdős, Etscheid, FPT, However, It, Lower, Mnich, That, They, Weighted, While
related to External links · 10
Maximum cut → Andrea Casini, Gerhard Woeginger, Magnús Halldórsson, Marek Karpinski, Max Cut, Nicola Rebagliati, NP, Pierluigi Crescenzi, Python, Viggo Kann
related to Computational complexity · 9
Maximum cut → It, Karp, Karp's, NP, NP-complete, NP-completeness, The, The NP-completeness, This
related to Polynomial-time algorithms · 6
Maximum cut → As, However, Max-Cut, NP-hard, The, The Maximum-Bisection
related to Lower bounds · 2
Maximum cut → Edwards, For
is a · 1
Maximum cut → cut whose size is at least the size of any other cut

Important terminology Word statistics

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

Important terminology

problem cut edges graph maximum graphs displaystyle max-cut number algorithm least bound known one weighted partition size two possible lower

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Maximum cutis acut whose size is at least the size of any other cut0.90text
Maximum cutrelated to Computational complexityThe0.60section
Maximum cutrelated to Computational complexityThis0.60section
Maximum cutrelated to Computational complexityNP-complete0.60section
Maximum cutrelated to Computational complexityIt0.60section
Maximum cutrelated to Computational complexityNP0.60section
Maximum cutrelated to Computational complexityThe NP-completeness0.60section
Maximum cutrelated to Computational complexityKarp's0.60section
Maximum cutrelated to Computational complexityKarp0.60section
Maximum cutrelated to Computational complexityNP-completeness0.60section
Maximum cutrelated to External linksPierluigi Crescenzi0.60section
Maximum cutrelated to External linksViggo Kann0.60section

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.