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Graph minor

In graph theory, an undirected graph H is called a minor of the undirected graph G if H can be formed from G by deleting edges and vertices and by contracting edges.

Major results and conjectures, Variations & Minor-closed graph families

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Overview

Definitions

Major results and conjectures

Minor-closed graph families

Variations

Algorithms

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Map overview Semantic statistics

Graph minor

Nodes86
Edges85
Triples49
Avg. degree1.98
Density0.023256
Components1

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Graph minor

Top relations

related to Major results and conjectures · 17
Graph minor → Another, G1, G2, Gi, Gj, In, It, Klaus Wagner, Neil Robertson, Paul Seymour, Robertson, Seymour, The, This, Thus, Wagner, Wagner's
related to Algorithms · 11
Graph minor → Furthermore, Graph Minors, Hamiltonian, However, In, Knuth's, More, NP-complete, The, This, Thus
related to Parity conditions · 6
Graph minor → An, If, K3, The Hadwiger, Unlike, Wagner's
related to Definitions · 5
Graph minor → An, Graph, In, The, This
related to External links · 3
Graph minor → Eric, MathWorld, Weisstein
related to Shallow minors · 2
Graph minor → Shallow, They

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Important terminology

graph minor graphs minors vertices edges forbidden theorem planar edge topological every minor-closed immersion two finite fixed theory one result

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the 1-planar graphs that are not closed under taking minors.Parity conditionsAn alternativeinstance ofThey also allow the theory of graph minors to be extended to classes of graphs0.80text
equivalent definition of a graph minor is that H is a minor of G whenever the vertices of H can be represented by a collection of vertex-disjoint subtrees of Ginstance ofThey also allow the theory of graph minors to be extended to classes of graphs0.80text
such that if two vertices are adjacent in Hinstance ofThey also allow the theory of graph minors to be extended to classes of graphs0.80text
there exists an edge with its endpoints in the corresponding two trees in Ginstance ofThey also allow the theory of graph minors to be extended to classes of graphs0.80text
the 1-planar graphs that are not closed under taking minorsinstance ofThey also allow the theory of graph minors to be extended to classes of graphs0.80text
Graph minorrelated to AlgorithmsThe0.60section
Graph minorrelated to AlgorithmsNP-complete0.60section
Graph minorrelated to AlgorithmsHamiltonian0.60section
Graph minorrelated to AlgorithmsHowever0.60section
Graph minorrelated to AlgorithmsMore0.60section
Graph minorrelated to AlgorithmsGraph Minors0.60section
Graph minorrelated to AlgorithmsThus0.60section

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    Min side: 3
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