Homogeneous structures, bipartite graphs, and partial orders
University of Leeds

Homogeneous structures, bipartite graphs, and partial orders

February 1st 2006-January 31st 2009


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, Journal of Combinatorial Theory, Series A 116 (2009), 581-594.

  6. R. Gray and J. K. Truss, Cycle-free partial orders and ends of graphs, Mathematical Proceeedings of the Cambridge Philosophical Society, 146 (2009), 535-550.

  7. Manfred Droste and J. K. Truss, The uncountable cofinality of automorphism groups of linear and partial orders, Algebra Universalis 62 (2009), 75-90.

  8. R. Gray and H D Macpherson, Countable connected-homogeneous graphs, Journal of Combinatorial Theory B, 100 (2010), 97-118.

  9. J. K. Truss, On the automorphism group of the countable dense circular order, Fundamenta Mathematicae 204 (2009), 97-111.

  10. Daniela Amato and John Truss, Some constructions of highly arc-transitive digraphs, Combinatorica 31 (2011), 257-283.

  11. Daniela Amato and John K Truss, Crown-free highly arc-transitive digraphs, Forum Mathematicum 24 (2012), 161-175.

  12. R. Gray and R. Moller, Locally-finite connected-homogeneous digraphs, Discrete Mathematics 311 (2011), 1497-1517.

  13. Daniela Amato, Descendants in infinite primitive highly arc-transitive digraphs, Discrete Mathematics 310 (2010), 2021-2036.

  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, submitted.

  16. R. Gray, H. D. Macpherson, Cheryl Praeger and G. Royle, Classification of the finite set-transitive directed graphs, to appear in the Journal of Combinatorial Theory B.

  17. Daniela Amato and John K Truss, Descendant-homogeneous digraphs, Journal of Combinatorial Theory A 118 (2011), 403-424.

  18. Daniela Amato, David M Evans, and John K Truss,Classification of some countable descendant-homogeneous digraphs, Discrete Mathematics 312 (2012), 911-919.

Last changed 6-03-2012.                      


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