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Trapezoid graph

In graph theory, trapezoid graphs are intersection graphs of trapezoids between two horizontal lines. They are a class of co-comparability graphs that contain interval graphs and permutation graphs as subclasses. A graph is a trapezoid graph if there exists a set of trapezoids corresponding to the vertices of the graph such that two vertices are joined…

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Applications, Relation to other families of graphs & Recognition

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Research this topic

Explore the main themes, entities and connections around Trapezoid 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.

Applications

1 related topics

Relation to other families of graphs

2 related topics

Recognition

2 related topics

Equivalent representations

1 related topics

Topics to explore

A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.

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

Overview

Applications

  • VLSI Very-large-scale integration

Equivalent representations

Relation to other families of graphs

Recognition

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

Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.

Trapezoid graph

Nodes21
Edges20
Triples49
Avg. degree1.9
Density0.095238
Components1

How this topic connects Entity context

Quick relationship hints grouped by predicate. Useful for spotting recurring semantic connections around the current entity.

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

Trapezoid graph

Top relations

related to Recognition · 10
Trapezoid graph → Corneil, If, McConnell, Mertzios, Since, Spinrad, The, This, To, Using
has application · 6
Trapezoid graph → Given, Nets, The, Therefore, This, VLSI
related to Algorithms · 6
Trapezoid graph → Algorithms, Dagan, Felsner, For, Later, These
related to Bitolerance graphs · 6
Trapezoid graph → An, Bitolerance, In, Ix, Iy, Langley
related to Definitions and characterizations · 5
Trapezoid graph → An, Given, P1, Pd, The
related to k-Trapezoid graphs · 5
Trapezoid graph → Felsner, Felsner’s, They, Trapezoid, Using
related to Circle trapezoid graphs · 4
Trapezoid graph → Circle, Felsner, There, They
related to Relation to other families of graphs · 4
Trapezoid graph → Like, Permutation, The, This
related to Trapezoid representation · 2
Trapezoid graph → Figure, Trapezoids
is a · 1
Trapezoid graph → intersection graph of families of circle trapezoids on a common circle

Important terminology Word statistics

Frequent words and multi-word phrases across the lead, headings, infobox and body. Useful for terminology coverage.

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

Important terminology

trapezoid graphs displaystyle graph two set algorithms trapezoids order number box class log maximum representation using interval chromatic independent clique

Entity relationships Subject–Predicate–Object triples

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
SubjectPredicateObjectConfidenceSrc
Trapezoid graphis aintersection graph of families of circle trapezoids on a common circle0.90text
Trapezoid graphhas applicationThe0.60section
Trapezoid graphhas applicationVLSI0.60section
Trapezoid graphhas applicationGiven0.60section
Trapezoid graphhas applicationThis0.60section
Trapezoid graphhas applicationNets0.60section
Trapezoid graphhas applicationTherefore0.60section
Trapezoid graphrelated to AlgorithmsAlgorithms0.60section
Trapezoid graphrelated to AlgorithmsFor0.60section
Trapezoid graphrelated to AlgorithmsDagan0.60section
Trapezoid graphrelated to AlgorithmsLater0.60section
Trapezoid graphrelated to AlgorithmsFelsner0.60section

Related concept clusters Concept neighborhoods

Clusters of nearby vocabulary surrounding the topic. Scan them for adjacent concepts and language you may have missed.

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

    Connections between topic areas Semantic bridges

    Bridge nodes connect otherwise separate parts of the map. Expand a row to inspect the topic groups on each side.

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

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