5 citations · 15 across the 6 of their papers we have counts for
6 papers
>k-homogeneous infinite graphs
Ove Ahlman
In this article we give an explicit classification for the countably infinite graphs which are, for some , -homogeneous. It turns out that a ho…
Homogenizable structures and model completeness
Ove Ahlman
A homogenizable structure is a structure where we may add a finite amount of new relational symbols to represent some definable relations in order to make…
Simple structures axiomatized by almost sure theories
Ove Ahlman
In this article we give a classification of the binary, simple, -categorical structures with SU-rank 1 and trivial pregeometry. This is done both by showing that they satisfy ce…
On sets with rank one in simple homogeneous structures
Ove Ahlman, Vera Koponen
We study definable sets of SU-rank 1 in , where is a countable homogeneous and simple structure in a language with finite relational vocabulary. Each such can b…
Limit laws and automorphism groups of random nonrigid structures
Ove Ahlman, Vera Koponen
A systematic study is made, for an arbitrary finite relational language with at least one symbol of arity at least 2, of classes of nonrigid finite structures. The well known resul…
Random l-colourable structures with a pregeometry
Ove Ahlman, Vera Koponen
We study finite -colourable structures with an underlying pregeometry. The probability measure that is used corresponds to a process of generating such structures (with a given…