EPSRC grant EP/D048249/1 was held at the University of Leeds from Feb 1st 2006-Jan 31st 2009. I give some details of this below.

Investigators

Principal investigator, Professor J K Truss

Co-investigator, Professor H D Macpherson

Research assistants

Dr Robert Gray, Feb 1st 2006-Jan 31st 2008,

Dr Daniela Amato, Feb 1st 2008-Jan 31st 2009.

Visitors on the grant

Professor Manfred Droste, University of Leipzig,

Professor Cheryl Praeger, University of Western Australia

2-day meeting held on Aug 2nd, 3rd 2007

Publications

1. Susana Torrezao de Sousa and J. K. Truss, Countable homogeneous coloured partial orders, Dissertationes Mathematicae 455 (2008) (48 pages).
   

2. Robert Gray and John K Truss, Construction of some countable one-arc transitive bipartite graphs. Discrete Mathematics, 308 (2008), 6392-6405.
   

3. M. Droste, Robert Gray and J. K. Truss, Construction of some uncountable 2-arc transitive bipartite graphs. Order 25 (2008), 349-357.
   

4. R. Gray, $k$-$CS$-transitive infinite graphs, Journal of Combinatorial Theory Series B, 99 (2009), 378-398.
   

5. G. Campero-Arena and J. K. Truss, 1-transitive cyclic orderings, to appear in the Journal of Combinatorial Theory, Series A.
   

6. R. Gray and J. K. Truss, Cycle-free partial orders and ends of graphs, to appear in the Mathematical Proceeedings of the Cambridge Philosophical Society.
   

7. Manfred Droste and J. K. Truss, The uncountable cofinality of automorphism groups of linear and partial orders, to appear in Algebra Universalis.
   

8. R. Gray and H D Macpherson, Countable connected-homogeneous graphs, submitted.
   

9. J. K. Truss, On the automorphism group of the countable dense circular order, submitted.
   

10. Daniela Amato and John Truss, Some constructions of highly arc-transitive digraphs, submitted.
    

11. Daniela Amato and John K Truss, Crown-free highly arc-transitive digraphs, submitted.
    

12. R. Gray and R. Moller, Locally-finite connected-homogeneous digraphs, submitted
    

13. Daniela Amato, Descendants in infinite primitive highly arc-transitive digraphs, in preparation.
    

14. Daniela Amato and Dugald Macpherson, Metrically homogeneous graphs, in preparation.
    

15. R. Gray and J. K. Truss, Countable locally 2-arc-transitive bipartite graphs, in preparation.
    

16. R. Gray, H. D. Macpherson, and Cheryl Praeger, Classification of the finite set-transitive directed graphs, in preparation.
    

17. Daniela Amato and John K Truss, Descendant-homogeneous digraphs, in preparation.