{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/completing-graphs-to-metric-spaces","title":"Completing graphs to metric spaces","arxiv_id":"1706.00295","date":"2017-06-01","proceeding":null,"authors":["Andrés Aranda","David Bradley-Williams","Eng Keat Hng","Jan Hubička","Miltiadis Karamanlis","Michael Kompatscher","Matěj Konečný","Micheal Pawliuk"],"abstract":"We prove that certain classes of metrically homogeneous graphs omitting triangles of odd short perimeter as well as triangles of long perimeter have the extension property for partial automorphisms and we describe their Ramsey expansions.","url_abs":"https://arxiv.org/abs/1706.00295v3","url_pdf":"https://arxiv.org/pdf/1706.00295v3.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"completing-graphs-to-metric-spaces","repo_url":"https://github.com/mpawliuk/simplified-metric-graph-completion","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null},{"paper_slug":"completing-graphs-to-metric-spaces","repo_url":"https://github.com/mpawliuk/metric-graphs","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}