Finite homogeneous metric spaces

DOI10.1134/S0037446619050021zbMath1431.51008OpenAlexW2978501452MaRDI QIDQ2282611

Yurii Gennadyevich Nikonorov, Valeriĭ Nikolaevich Berestovskiĭ

Publication date: 8 January 2020

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446619050021

zbMATH Keywords

vertex-transitive graphKneser graph(semi)regular polytopefinite (normal) homogeneous metric spacefinite Clifford-Wolf homogeneous metric space

Mathematics Subject Classification ID

Metric geometry (51F99) Topological geometry (51H99)

Related Items (5)

О конечных однородных метрических пространствах ⋮ Some regularity of submetries ⋮ Perfect and almost perfect homogeneous polytopes ⋮ Compact geodesic orbit spaces with a simple isotropy group ⋮ The structure of submetries

Cites Work

• On planar right groups
• Clifford-Wolf homogeneous Riemannian manifolds
• Killing vector fields of constant length on locally symmetric Riemannian manifolds
• Symmetry groups of vertex-transitive polytopes
• Cartesian products of graphs and metric spaces
• A metric characterization of Riemannian submersions
• Generalized normal homogeneous Riemannian metrics on spheres and projective spaces
• Recent trends and future directions in vertex-transitive graphs
• The Factors of Graphs
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