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Treewidth

In graph theory, the treewidth of an undirected graph is an integer number which specifies, informally, how far the graph is from being a tree. The smallest treewidth is 1; the graphs with treewidth 1 are exactly the trees and the forests. An example of graphs with treewidth at most 2 are the series–parallel graphs. The maximal graphs with treewidth…

Bounded treewidth, Related parameters & Algorithms

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Overview

Definition

Examples

Bounded treewidth

Algorithms

Related parameters

Advanced semantic analysis

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Map overview Semantic statistics

Treewidth

Nodes86
Edges85
Triples76
Avg. degree1.98
Density0.023256
Components1

How this topic connects Entity context

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Treewidth

Top relations

related to Computing the treewidth · 13
Treewidth → Approximation, Bodlaender, Depending, Due, Each, For, Here, However, It, Korhonen, NP, Similarly, The
related to Courcelle's theorem · 9
Treewidth → Courcelle's, For, Logic, Membership, Monadic, Quantifications, Rightarrow, Specifically, Vertex
related to Grid minor size · 9
Treewidth → Because, For, Halin's, In, Omega, Robertson, Seymour, The, Tighter
related to Graph families with bounded treewidth · 8
Treewidth → Apollonian, Conversely, For, Halin, Other, That, The, Therefore
related to Diameter and local treewidth · 7
Treewidth → Another, As, Bounded, If, In, It, The
related to Solving other problems on graphs of small treewidth · 7
Treewidth → As, At, Bodlaender, For, Later, NP-complete, The
related to Forbidden minors · 5
Treewidth → Each, For, Of, That, Wagner
related to Hadwiger number and S-functions · 5
Treewidth → Hadwiger, Halin, S-functions, The, These
related to Pathwidth · 5
Treewidth → Alternatively, Another, As, Other, The
related to Examples · 3
Treewidth → Conversely, Every, This

Important terminology Word statistics

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Important terminology

graph displaystyle graphs bounded one size tree vertices minor number minors time algorithms decomposition least forbidden algorithm vertex may largest

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
register allocation to be performed efficiently on them.The planar graphs do not have bounded treewidthinstance ofwhich allows certain tasks0.80text
because the ninstance ofwhich allows certain tasks0.80text
branchinstance ofone can use search-based techniques0.80text
bound search to compute the treewidthinstance ofone can use search-based techniques0.80text
optimization.Consider for example the 3-coloring problem for graphsinstance ofand some extensions that allow for things0.80text
Treewidthrelated to Computing the treewidthIt0.60section
Treewidthrelated to Computing the treewidthNP0.60section
Treewidthrelated to Computing the treewidthHowever0.60section
Treewidthrelated to Computing the treewidthThe0.60section
Treewidthrelated to Computing the treewidthDue0.60section
Treewidthrelated to Computing the treewidthDepending0.60section
Treewidthrelated to Computing the treewidthHere0.60section

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