Homogeneous Cayley objects

DOI10.1006/eujc.1999.0380zbMath0966.05039OpenAlexW2040947045MaRDI QIDQ1582481

Peter J. Cameron

Publication date: 14 January 2001

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0fbf316709d0e3898063b68000c81804ec91d0d5

zbMATH Keywords

Cayley graphmetric spaceshypergraphstotal ordersCayley objectregular actioncountable homogeneous relational structures

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Hypergraphs (05C65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20) Ordered groups (06F15) Properties of classes of models (03C52)

Related Items (6)

Henson graphs and Urysohn-Henson graphs as Cayley graphs ⋮ Some isometry groups of the Urysohn space ⋮ Unitary representations of oligomorphic groups ⋮ Globalization of the partial isometries of metric spaces and local approximation of the group of isometries of Urysohn space ⋮ Globalization of confluent partial actions on topological and metric spaces ⋮ Uncountable graphs and invariant measures on the set of universal countable graphs

Cites Work

• Transitivity of permutation groups on unordered sets
• A census of infinite distance-transitive graphs
• A Universal Structure for N -Free Graphs
• An investigation of countable B-groups
• Countable Ultrahomogeneous Undirected Graphs
• The classification of countable homogeneous directed graphs and countable homogeneous 𝑛-tournaments
• Relations related to betweenness: their structure and automorphisms
• Universal graphs and universal functions
• Asymmetric graphs
• A family of countable homogeneous graphs
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