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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…

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Standards, Classification & Variations

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Explore the main themes, entities and connections around Homogeneous graph. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

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Variations

Advanced semantic analysis

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Map overview Semantic statistics

Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.

Homogeneous graph

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

How this topic connects Entity context

Quick relationship hints grouped by predicate. Useful for spotting recurring semantic connections around the current entity.

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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

Important terminology Word statistics

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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

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
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

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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