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Pathwidth

In graph theory, a path decomposition of a graph G is, informally, a representation of G as a "thickened" path graph, and the pathwidth of G is a number that measures how much the path was thickened to form G. More formally, a path-decomposition is a sequence of subsets of vertices of G such that the endpoints of each edge appear in one of the subsets…

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Overview

Definition

Alternative characterizations

Bounds

Computing path-decompositions

Graph minors

Applications

Advanced semantic analysis

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Map overview Semantic statistics

Pathwidth

Nodes96
Edges95
Triples88
Avg. degree1.98
Density0.020833
Components1

How this topic connects Entity context

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Pathwidth

Top relations

related to Excluding a forest · 13
Pathwidth → But, For, If, In, K3, K5, Robertson, Seymour, Specifically, Then, Wagner's, X-minor-free, X-minor-free-graphs
related to Obstructions to bounded pathwidth · 12
Pathwidth → Although Xp, Based, Contraction, For, However, K3, The, Therefore, X0, X1, X2, Xp
related to Approximation algorithms · 7
Pathwidth → Bodlaender, For, Guha, It, Kloks, NP-hard, The
related to Compiler design · 6
Pathwidth → An, DAG, For, In, It, Once
related to Exponential algorithms · 6
Pathwidth → For, Many, NP-hard, On, Such, The
related to Special classes of graphs · 6
Pathwidth → Bodlaender, Determining, Halin, However, It, NP-complete
related to Vertex separation number · 6
Pathwidth → And, Ellis, Sudborough, The, This, Turner
related to Bounds · 5
Pathwidth → Every, For, In, Since, The
related to Interval thickness · 5
Pathwidth → In, Its, That, The, Then
related to Computing path-decompositions · 4
Pathwidth → It, Nevertheless, NP-complete, The

Important terminology Word statistics

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Important terminology

graph graphs number vertex vertices one bounded interval path decomposition linear may two time also separation algorithms treewidth edge set

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Pathwidthrelated to Alternative characterizationsAs Bodlaender0.60section
Pathwidthrelated to Approximation algorithmsIt0.60section
Pathwidthrelated to Approximation algorithmsNP-hard0.60section
Pathwidthrelated to Approximation algorithmsThe0.60section
Pathwidthrelated to Approximation algorithmsFor0.60section
Pathwidthrelated to Approximation algorithmsBodlaender0.60section
Pathwidthrelated to Approximation algorithmsGuha0.60section
Pathwidthrelated to Approximation algorithmsKloks0.60section
Pathwidthrelated to BoundsEvery0.60section
Pathwidthrelated to BoundsIn0.60section
Pathwidthrelated to BoundsSince0.60section
Pathwidthrelated to BoundsThe0.60section

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