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Circle graph

In graph theory, a circle graph is the intersection graph of a chord diagram. That is, it is an undirected graph whose vertices can be associated with a finite system of chords of a circle such that two vertices are adjacent if and only if the corresponding chords cross each other.

Applications, Algorithmic complexity & Chromatic number

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Research this topic

Explore the main themes, entities and connections around Circle graph. 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

Algorithmic complexity

Chromatic number

Applications

Related graph classes

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

Circle graph

Nodes47
Edges46
Triples34
Avg. degree1.96
Density0.042553
Components1

How this topic connects Entity context

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

Circle graph

Top relations

related to Algorithmic complexity · 13
Circle graph → Ackermann, Additionally, After, For, Gioan, Gregg, Kloks, More, Nash, NP-complete, The, Their, Tiskin
related to Chromatic number · 10
Circle graph → Cartesian, If, In, It, NP-complete, One, Several, Since, Testing, The
has application · 7
Circle graph → Among, Circle, Colorings, In, It, Therefore, VLSI
is a · 2
Circle graph → intersection graph of a chord diagram, minimum number of colors that can be used to color its chords so that no two crossing chords have the same color
related to Related graph classes · 2
Circle graph → The, This

Important terminology Word statistics

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

Important terminology

circle graph graphs time colors number intersection np-complete chords vertices chromatic problems may set colored case routing two cross triangle-free

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Circle graphis aintersection graph of a chord diagram0.90text
Circle graphis aminimum number of colors that can be used to color its chords so that no two crossing chords have the same color0.90text
Circle graphhas applicationCircle0.60section
Circle graphhas applicationVLSI0.60section
Circle graphhas applicationIn0.60section
Circle graphhas applicationIt0.60section
Circle graphhas applicationAmong0.60section
Circle graphhas applicationTherefore0.60section
Circle graphhas applicationColorings0.60section
Circle graphrelated to Algorithmic complexityAfter0.60section
Circle graphrelated to Algorithmic complexityGioan0.60section
Circle graphrelated to Algorithmic complexityTheir0.60section

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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