We present a proof of the extension property for partial automorphisms (EPPA) for classes of
finite $ n $-partite tournaments for $ n\in\{2, 3,\ldots,\omega\} $, and for the class of finite …

We show that every free amalgamation class of finite structures with relations and
(symmetric) partial functions is a Ramsey class when enriched by a free linear ordering of …

arXiv:1807.10976v2 [math.CO] 28 Aug 2018 Page 1 A COMBINATORIAL PROOF OF THE
EXTENSION PROPERTY FOR PARTIAL ISOMETRIES JAN HUBICKA, MATEJ KONECNÝ …

If G is a graph, A and B its induced subgraphs, and f: A→ B an isomorphism, we say that f is
a partial automorphism of G. In 1992, Hrushovski proved that graphs have the extension …

Let $\mathbf {A} $ be a finite structure. We say that a finite structure $\mathbf {B} $ is an
extension property for partial automorphisms (EPPA)-witness for $\mathbf {A} $ if it contains …

We prove that the class of finite two-graphs has the extension property for partial
automorphisms (EPPA, or Hrushovski property), thereby answering a question of …

The structural Ramsey theory is a field on the boundary of combinatorics and model theory
with deep connections to topological dynamics. Most of the known Ramsey classes in finite …

Completing graphs to metric spaces Page 1 Completing graphs to metric spaces Andrés Aranda4
Computer Science Institute of Charles University (IUUK) Charles University Prague, Czech …

We prove EPPA (extension property for partial automorphisms) for all antipodal classes from
Cherlin's list of metrically homogeneous graphs, thereby answering a question of Aranda et …

We give Ramsey expansions of classes of generalised metric spaces where distances come
from a linearly ordered commutative monoid. This complements results of Conant about the …