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Cutwidth

In graph theory, the cutwidth of an undirected graph is the smallest integer k {\displaystyle k} with the following property: there is an ordering of the vertices of the graph, such that every cut obtained by partitioning the vertices into earlier and later subsets of the ordering is crossed by at most k {\displaystyle k} edges. That is, if the vertices…

Applications & Art

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Research this topic

Explore the main themes, entities and connections around Cutwidth. 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

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Overview

Relation to other parameters

Computational complexity

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

Cutwidth

Nodes50
Edges49
Triples25
Avg. degree1.96
Density0.04
Components1

How this topic connects Entity context

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

Cutwidth

Top relations

related to Relation to other parameters · 9
Cutwidth → Any, Delta, However, If, In, It, The, This, Unlike
related to Computational complexity · 8
Cutwidth → Additionally, An, For, Held-Karp, It, More, NP-hard, The
has application · 5
Cutwidth → An, If, In, The, VLSI

Important terminology Word statistics

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

Important terminology

number graph vertices displaystyle edges graphs linear minimum vertex problem degree ordering maximum bounded time arrangement cut treewidth pathwidth width

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
pathwidth or bandwidth.Cutwidth can be used to provide a lower bound on another parameterinstance ofmaking it more closely related to treewidth or branchwidth and less similar to the other width parameters involving linear orderings0.80text
the crossing numberinstance ofmaking it more closely related to treewidth or branchwidth and less similar to the other width parameters involving linear orderings0.80text
arising in the study of graph drawingsinstance ofmaking it more closely related to treewidth or branchwidth and less similar to the other width parameters involving linear orderings0.80text
Cutwidthhas applicationAn0.60section
Cutwidthhas applicationVLSI0.60section
Cutwidthhas applicationIf0.60section
Cutwidthhas applicationThe0.60section
Cutwidthhas applicationIn0.60section
Cutwidthrelated to Computational complexityThe0.60section
Cutwidthrelated to Computational complexityFor0.60section
Cutwidthrelated to Computational complexityNP-hard0.60section
Cutwidthrelated to Computational complexityIt0.60section

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
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