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Homogeneous graph

In mathematics, a k-ultrahomogeneous graph is a graph in which every isomorphism between two of its induced subgraphs of at most k vertices can be extended to an automorphism of the whole graph. A k-homogeneous graph obeys a weakened version of the same property in which every isomorphism between two induced subgraphs implies the existence of an…

Standards, Classification & Variations

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Homogeneous graph

Nodes25
Edges24
Triples8
Avg. degree1.92
Density0.08
Components1

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Homogeneous graph

Top relations

related to Classification · 4
Homogeneous graph → Henson, Rado, The, Turán
related to Variations · 3
Homogeneous graph → Clebsch, In, Petersen
is a · 1
Homogeneous graph → graph that is k-homogeneous for every k

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Important terminology

graph every two isomorphism automorphism homogeneous induced subgraphs whole graphs k-ultrahomogeneous k-homogeneous connected finite complement extended ultrahomogeneous classification mathematics disjoint

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Homogeneous graphis agraph that is k-homogeneous for every k0.90text
Homogeneous graphrelated to ClassificationThe0.60section
Homogeneous graphrelated to ClassificationTurán0.60section
Homogeneous graphrelated to ClassificationHenson0.60section
Homogeneous graphrelated to ClassificationRado0.60section
Homogeneous graphrelated to VariationsIn0.60section
Homogeneous graphrelated to VariationsPetersen0.60section
Homogeneous graphrelated to VariationsClebsch0.60section

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    Min side: 3
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