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Comparability graph

In graph theory and order theory, a comparability graph is an undirected graph that connects pairs of elements that are comparable to each other in a partial order. Comparability graphs have also been called transitively orientable graphs, partially orderable graphs, containment graphs, and divisor graphs. An incomparability graph is an undirected graph…

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Explore the main themes, entities and connections around Comparability graph. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Definitions and characterization

Cocomparability graph

Relation to other graph families

Algorithms

Advanced semantic analysis

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Map overview Semantic statistics

Comparability graph

Nodes52
Edges51
Triples15
Avg. degree1.96
Density0.038462
Components1

How this topic connects Entity context

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Comparability graph

Top relations

related to Relation to other graph families · 5
Comparability graph → All, As Seymour, Every, Orienting, Therefore
is a · 3
Comparability graph → graph that has a transitive orientation, string graph, undirected graph that connects pairs of elements that are comparable to each other in a partial order
related to Definitions and characterization · 3
Comparability graph → Equivalently, For, That
related to Algorithms · 2
Comparability graph → Because, However
related to Cocomparability graph · 2
Comparability graph → Cocomparability, That

Important terminology Word statistics

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Important terminology

graph comparability graphs cocomparability transitive orientation order partial perfect also set every complement edge one edges two called pairs elements

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Comparability graphis aundirected graph that connects pairs of elements that are comparable to each other in a partial order0.90text
Comparability graphis agraph that has a transitive orientation0.90text
Comparability graphis astring graph0.90text
Comparability graphrelated to AlgorithmsHowever0.60section
Comparability graphrelated to AlgorithmsBecause0.60section
Comparability graphrelated to Cocomparability graphThat0.60section
Comparability graphrelated to Cocomparability graphCocomparability0.60section
Comparability graphrelated to Definitions and characterizationFor0.60section
Comparability graphrelated to Definitions and characterizationThat0.60section
Comparability graphrelated to Definitions and characterizationEquivalently0.60section
Comparability graphrelated to Relation to other graph familiesEvery0.60section
Comparability graphrelated to Relation to other graph familiesAll0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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