Completing graphs to metric spaces

Aranda, Andrés; Bradley-Williams, David; Hng, Eng Keat; Hubička, Jan; Karamanlis, Miltiadis; Kompatscher, Michael; Konečný, Matěj; and Pawliuk, Micheal (2021) Completing graphs to metric spaces Contributions to Discrete Mathematics, 16 (2). 71 - 89. ISSN 1715-0868
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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.

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