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Tree decomposition

In graph theory, a tree decomposition is a mapping of a graph into a tree that can be used to define the treewidth of the graph and speed up solving certain computational problems on the graph.

Dynamic programming, Definition & Overview

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Overview

Definition

Treewidth

Dynamic programming

Advanced semantic analysis

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Map overview Semantic statistics

Tree decomposition

Nodes30
Edges29
Triples33
Avg. degree1.93
Density0.066667
Components1

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Tree decomposition

Top relations

related to Dynamic programming · 11
Tree decomposition → As, At, Di, For, Later, NP-complete, Similarly, To, We, Xi, Xj
related to Definition · 8
Tree decomposition → Each, Intuitively, The, Thus, To, X1, Xi, Xn
related to Treewidth · 7
Tree decomposition → However, In, It, NP-complete, The, Treewidth, Xi
see also · 4
Tree decomposition → Brambles, Branch-decomposition, Decomposition Method, Two
is a · 3
Tree decomposition → mapping of a graph into a tree that can be used to define the treewidth of the graph and speed up solving certain computational problems on the graph.Tree decompositions are als…, pair, size of its largest set Xi minus one

Important terminology Word statistics

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Important terminology

tree treewidth graph decomposition set node xi nodes problems dynamic programming also width graphs decompositions displaystyle size largest independent used

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Tree decompositionis amapping of a graph into a tree that can be used to define the treewidth of the graph and speed up solving certain computational problems on the graph.Tree decompositions are als…0.90text
Tree decompositionis apair0.90text
Tree decompositionis asize of its largest set Xi minus one0.90text
Tree decompositionrelated to DefinitionIntuitively0.60section
Tree decompositionrelated to DefinitionThus0.60section
Tree decompositionrelated to DefinitionThe0.60section
Tree decompositionrelated to DefinitionEach0.60section
Tree decompositionrelated to DefinitionTo0.60section
Tree decompositionrelated to DefinitionX10.60section
Tree decompositionrelated to DefinitionXn0.60section
Tree decompositionrelated to DefinitionXi0.60section
Tree decompositionrelated to Dynamic programmingAt0.60section

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    Min side: 3
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