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Tree-depth

In graph theory, the tree-depth of a connected undirected graph G {\displaystyle G} is a numerical invariant of G {\displaystyle G} , the minimum height of a Trémaux tree for a supergraph of G {\displaystyle G} . This invariant and its close relatives have gone under many different names in the literature, including vertex ranking number, ordered…

Definitions, Complexity & Depth of trees and relation to treewidth

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Overview

Definitions

Examples

Depth of trees and relation to treewidth

Graph minors

Induced subgraphs

Complexity

Advanced semantic analysis

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Map overview Semantic statistics

Tree-depth

Nodes54
Edges53
Triples181
Avg. degree1.96
Density0.037037
Components1

How this topic connects Entity context

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Tree-depth

Top relations

related to References · 147
Tree-depth → ACM, Alejandro, Alex, Algorithms, Ananth, Approximating, Archontia, Article, Aspvall, Automata, Bengt, Benjamin, BF01934264, BIT, Bodlaender, Bounded, Chapter, Cite, CiteSeerX, Combinatorics
related to Depth of trees and relation to treewidth · 10
Tree-depth → Any, By, Ck, For, Halin, In, More, Precisely, Since, The
related to Complexity · 6
Tree-depth → Bodlaender, Computing, For, NP-complete, On, The
related to Graph minors · 5
Tree-depth → If, More, Robertson, Seymour, Thus
related to Induced subgraphs · 5
Tree-depth → As, Higman's, The, Well-quasi-ordering, Within
related to Definitions · 4
Tree-depth → If, The, Thus, Trémaux
related to Examples · 3
Tree-depth → For, Similarly, The
is a · 1
Tree-depth → minimum number of colors in a centered coloring of the given graph

Important terminology Word statistics

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Important terminology

displaystyle graph graphs doi treewidth tree 10 forest height path trees may vertices time every one pebble number minimum isbn

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Tree-depthis aminimum number of colors in a centered coloring of the given graph0.90text
Tree-depthrelated to ComplexityComputing0.60section
Tree-depthrelated to ComplexityNP-complete0.60section
Tree-depthrelated to ComplexityThe0.60section
Tree-depthrelated to ComplexityBodlaender0.60section
Tree-depthrelated to ComplexityOn0.60section
Tree-depthrelated to ComplexityFor0.60section
Tree-depthrelated to DefinitionsThe0.60section
Tree-depthrelated to DefinitionsIf0.60section
Tree-depthrelated to DefinitionsTrémaux0.60section
Tree-depthrelated to DefinitionsThus0.60section
Tree-depthrelated to Depth of trees and relation to treewidthAny0.60section

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    Min side: 3
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