10 citations · 20 across the 4 of their papers we have counts for
4 papers
Some more notions of homomorphism-homogeneity
Deborah Lockett, John K. Truss
We extend the notion of 'homomorphism-homogeneity' to a wider class of kinds of maps than previously studied, and we investigate the relations between the resulting notions of homo…
Homogeneous coloured multipartite graphs
Deborah C Lockett, John K Truss
We classify the countable homogeneous coloured multipartite graphs with any finite number of parts. By Fraisse's Theorem this amounts to classifying the families F of pairwise non-…
Connected-homomorphism-homogeneous graphs
Deborah Lockett
A relational structure is (connected-)homogeneous if every isomorphism between finite (connected) substructures extends to an automorphism of the structure. We investigate notions…
Orbit-equivalent infinite permutation groups
Debbie Lockett, Dugald Macpherson
Let G,H be closed permutation groups on an infinite set X, with H a subgroup of G. It is shown that if G and H are orbit-equivalent, that is, have the same orbits on the collection…