In this article we give an explicit classification for the countably infinite graphs G which are, for some k, ≥k-homogeneous. It turns out that a ≥k -homogeneous graph M is non-homogeneous if and only if it is either not 1-homogeneous or not 2-homogeneous, both cases which may be classified using ramsey theory
AbstractA directed graph is set-homogeneous if, whenever U and V are isomorphic finite subdigraphs, ...
AbstractFor each finite core graph G there is a countable universal pseudo-homogeneous G-colourable ...
A countable relational structure $M$ is called $ extit{set-homogeneous}$ if whenever two finite subs...
AbstractWe give a classification of all the countable homogeneous multipartite graphs. This generali...
Abstract: "We call a bipartite graph homogeneous if every finite partial automorphism which respects...
ABSTRACT. We call a bipartite graph homogeneous if every finite partial automorphism which respects ...
AbstractA graph is connected-homogeneous if any isomorphism between finite connected induced subgrap...
AbstractWe call a bipartite graph homogeneous if every finite partial automorphism which respects le...
AbstractA relational structure A is called k-homogeneous if each isomorphism between two k-element s...
AbstractWe investigate set-homogeneity (a weakening of Fraissé′s notion of homogeneity), give an exa...
Homogenous structures exhibit a high degree of symmetry. In particular their automorphism group is t...
Any countable Kn-free graph T embeds as a moiety into the universal homogeneous Kn-free graph Kn in ...
As usual, for graphs Γ, G, and H, we write Γ → (G,H) to mean that any red-blue colouring of the edge...
As usual, for graphs Γ, G, and H, we write Γ → (G, H) to mean that any red-blue colouring of the edg...
AbstractAn induced subgraph is called homogeneous if it is either a clique or an independent set. Le...
AbstractA directed graph is set-homogeneous if, whenever U and V are isomorphic finite subdigraphs, ...
AbstractFor each finite core graph G there is a countable universal pseudo-homogeneous G-colourable ...
A countable relational structure $M$ is called $ extit{set-homogeneous}$ if whenever two finite subs...
AbstractWe give a classification of all the countable homogeneous multipartite graphs. This generali...
Abstract: "We call a bipartite graph homogeneous if every finite partial automorphism which respects...
ABSTRACT. We call a bipartite graph homogeneous if every finite partial automorphism which respects ...
AbstractA graph is connected-homogeneous if any isomorphism between finite connected induced subgrap...
AbstractWe call a bipartite graph homogeneous if every finite partial automorphism which respects le...
AbstractA relational structure A is called k-homogeneous if each isomorphism between two k-element s...
AbstractWe investigate set-homogeneity (a weakening of Fraissé′s notion of homogeneity), give an exa...
Homogenous structures exhibit a high degree of symmetry. In particular their automorphism group is t...
Any countable Kn-free graph T embeds as a moiety into the universal homogeneous Kn-free graph Kn in ...
As usual, for graphs Γ, G, and H, we write Γ → (G,H) to mean that any red-blue colouring of the edge...
As usual, for graphs Γ, G, and H, we write Γ → (G, H) to mean that any red-blue colouring of the edg...
AbstractAn induced subgraph is called homogeneous if it is either a clique or an independent set. Le...
AbstractA directed graph is set-homogeneous if, whenever U and V are isomorphic finite subdigraphs, ...
AbstractFor each finite core graph G there is a countable universal pseudo-homogeneous G-colourable ...
A countable relational structure $M$ is called $ extit{set-homogeneous}$ if whenever two finite subs...
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