Gromov product structures, quadrangle structures and split metric decompositions for finite metric spaces

DOI10.1016/j.disc.2021.112358zbMath1462.05163OpenAlexW3134540920MaRDI QIDQ2022141

Şahin Koçak, Derya Çelik, Arash M. Rezaeinazhad, Ayse Humeyra Bilge

Publication date: 28 April 2021

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112358

zbMATH Keywords

finite metric spacesGromov productsquadrangle structuressplit metric decompositions

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Product spaces in general topology (54B10) Signed and weighted graphs (05C22) Graph operations (line graphs, products, etc.) (05C76)

Cites Work

• Optimal realizations of generic five-point metrics
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• A canonical decomposition theory for metrics on a finite set
• Classification of six-point metrics
• An equivalence class decomposition of finite metric spaces via Gromov products
• Geometry of cuts and metrics