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Twin-width

The twin-width of an undirected graph is a natural number associated with the graph, used to study the parameterized complexity of graph algorithms. Intuitively, it measures how similar the graph is to a cograph, a type of graph that can be reduced to a single vertex by repeatedly merging together twins, vertices that have the same neighbors. The…

Graphs of bounded twin-width, Algorithms & Definition

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Overview

Definition

Graphs of bounded twin-width

Properties

Algorithms

Advanced semantic analysis

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Map overview Semantic statistics

Twin-width

Nodes74
Edges73
Triples33
Avg. degree1.97
Density0.027027
Components1

How this topic connects Entity context

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Twin-width

Top relations

related to Algorithms · 10
Twin-width → As, For, However, In, NP-complete, NP-hard, Once, SAT, The, Under
related to Parameterized algorithms · 6
Twin-width → An, For, However, Many, The, This
related to Graphs of bounded twin-width · 5
Twin-width → Cographs, For, In, The, Trees
related to Approximation algorithms · 4
Twin-width → In, NP-hard, The, This
related to Definition · 4
Twin-width → For, The, These, Two
related to Properties · 3
Twin-width → If, It, This
related to Speedups of classical algorithms · 1
Twin-width → In

Important terminology Word statistics

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Important terminology

graphs bounded vertices graph displaystyle sequence edges contraction two number family time vertex given every possible problems approximation set red

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Twin-widthrelated to AlgorithmsThe0.60section
Twin-widthrelated to AlgorithmsHowever0.60section
Twin-widthrelated to AlgorithmsNP-complete0.60section
Twin-widthrelated to AlgorithmsNP-hard0.60section
Twin-widthrelated to AlgorithmsUnder0.60section
Twin-widthrelated to AlgorithmsIn0.60section
Twin-widthrelated to AlgorithmsSAT0.60section
Twin-widthrelated to AlgorithmsFor0.60section
Twin-widthrelated to AlgorithmsOnce0.60section
Twin-widthrelated to AlgorithmsAs0.60section
Twin-widthrelated to Approximation algorithmsIn0.60section
Twin-widthrelated to Approximation algorithmsThis0.60section

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    Min side: 3
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