Graph structure theorem

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Setup and motivation for the theorem

Contracting Planar Tree width Integer If and only if

17 related topics

Statement of the graph structure theorem

Apices Empty graph

2 related topics

Refinements

Tree decomposition Crossing

2 related topics

Overview

Mathematics Graph theory Graph minors Topological embeddings Neil Robertson

7 related topics

Topics to explore

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Overview

Mathematics
Graph theory
Graph minors Minor (graph theory)
Topological embeddings Graph embedding
Neil Robertson Neil Robertson (mathematician)
Paul Seymour Paul Seymour (mathematician)
Lovász (2006) Graph structure theorem

Setup and motivation for the theorem

Statement of the graph structure theorem

Apices Apex graph
Empty graph Null graph

Refinements

Tree decomposition
Crossing Crossing number (graph theory)

Advanced semantic analysis

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Map overview Semantic statistics

Nodes33

Edges32

Triples39

Avg. degree1.94

Density0.060606

Components1

How this topic connects Entity context

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Graph structure theorem

Top relations

related to Surface embeddings · 15

Graph structure theorem → H-free, If, K3, K5, K5-free, Klein, Kuratowski, Roughly, Surfaces, Therefore, This, Two, Unfortunately, Wagner, When

related to Tree width · 8

Graph structure theorem → Corollary, For, H-free, Intuitively, It, The, Therefore, We

related to Setup and motivation for the theorem · 7

Graph structure theorem → H-free, If, In, Intuitively, Let, The, We

related to Refinements · 4

Graph structure theorem → For, H-minor-free, Strengthened, When

related to Statement of the graph structure theorem · 4

Graph structure theorem → For, Graph, H-free, We

is a · 1

Graph structure theorem → major result in the area of graph theory

Important terminology Word statistics

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Important terminology

graph doi mr theory 10 minors robertson seymour neil graphs series theorem combinatorial journal surface planar structure 1016 vertices one

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Graph structure theorem	is a	major result in the area of graph theory	0.90	text
Graph structure theorem	related to Refinements	Strengthened	0.60	section
Graph structure theorem	related to Refinements	For	0.60	section
Graph structure theorem	related to Refinements	H-minor-free	0.60	section
Graph structure theorem	related to Refinements	When	0.60	section
Graph structure theorem	related to Setup and motivation for the theorem	If	0.60	section
Graph structure theorem	related to Setup and motivation for the theorem	H-free	0.60	section
Graph structure theorem	related to Setup and motivation for the theorem	Let	0.60	section
Graph structure theorem	related to Setup and motivation for the theorem	Intuitively	0.60	section
Graph structure theorem	related to Setup and motivation for the theorem	The	0.60	section
Graph structure theorem	related to Setup and motivation for the theorem	In	0.60	section
Graph structure theorem	related to Setup and motivation for the theorem	We	0.60	section

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Setup and motivation for the theorem

Statement of the graph structure theorem

Refinements

Overview

Key facts & relationships

Topics to explore

Overview

Setup and motivation for the theorem

Statement of the graph structure theorem

Refinements

Advanced semantic analysis

Map overview Semantic statistics

Graph structure theorem

How this topic connects Entity context

Graph structure theorem

Top relations

Important terminology Word statistics

Important terminology

Entity relationships Subject–Predicate–Object triples

Related concept clusters Concept neighborhoods

Connections between topic areas Semantic bridges