Publications

  1. (with A.E. Brouwer) The Distance-regular Antipodal Covers of Classical Distance-regular Graphs, Colloquia Mathematica Societatis Janos Bolyai 52, Combinatorics, Eger, 1987, pp. 141-166.

  2. (with A.M. Cohen and H. Cuypers) Graphs Related to Held's Simple Group, Journal of Algebra 123, 1989, pp. 6-26.

  3. (with A.M. Cohen) Linear Groups and Distance-transitive Graphs, European Journal of Combinatorics 10, 1989, pp. 399-411.

  4. Affine Distance-transitive Groups, Thesis, Rijksuniversiteit te Utrecht, 1990.

  5. On distance-transitive graphs and involutions, Graphs and Combinatorics 7, 1991, pp. 377-394.

  6. (with A.M. Cohen) Prospective classification of distance-transitive graphs, in: Combinatorics '88, vol. 1, Eds. A. Barlotti et al., Mediterranean Press, 1991, pp. 25-38.

  7. Affine Distance-transitive Graphs with Quadratic forms, Mathematical Proceedings of the Cambridge Philosophical Society  112, 1992, pp. 507-517.

  8. (with R. Weiss) A Characterization of the Groups Fi22, Fi23 and Fi24, Forum Mathematicum 4, 1992, pp. 425-432.

  9. (with R. Weiss) An Existence Lemma for Groups Generated by 3-transpositions, Inventiones Mathematicae 109, 1992, pp. 519-534.

  10. Affine Distance-transitive Groups, Proceedings of the London Mathematical Society 67, 1993, pp. 1-52.

  11. Some extended generalized hexagons, in: Finite Geometry and Combinatorics, Eds. F. De Clerck et al., L.M.S. Lecture Notes Series 191, Cambridge University Press, 1993, pp. 395-403.

  12. On locally Hoffman-Singleton graphs, Journal of Combinatorial Theory, Series B, 63, 1995, pp. 159-161.

  13. Examples to a theorem of Weiss, Archiv der Mathematik 65, 1995, pp. 119-124.

  14. (with H. Cuypers and H. Van Maldeghem) Hyperbolic lines in generalized polygons, Forum Mathematicum 8, 1996, pp. 343-362.

  15. (with H. Cuypers) Affine extensions of near hexagons related to the spin module of type B3, in: Groups and Geometries, L. di Martino, W.M. Kantor, G. Lunardon, A. Pasini, M.C. Tamburini (eds.), Trends in Mathematics, Birkhäuser Verlag, Basel, 1998, pp. 215-229.

  16. (with A.A. Ivanov and J. Saxl) Affine distance-transitive graphs with sporadic stabilizer, European Journal of Combinatorics  20, 1999, pp. 163-177.

  17. (with H. Cuypers) Affine extensions of generalized polygons, European Journal of Combinatorics  20, 1999, pp. 571-588.

  18. (with A.M. Cohen) Affine distance-transitive graphs and exceptional Chevalley groups, Proceedings of the London Mathematical Society 83, 2001, pp. 51-70.

  19. Thompson-Wielandt like theorems revisited, Bulletin of the London Mathematical Society  35, 2003, pp. 30-36.

  20. (with A.M. Cohen and H. Cuypers) Affine distance-transitive graphs and classical groups, Journal of Combinatorial Theory, Series A, 110, 2005, pp. 291-335.

  21. On locally s-arc transitive graphs with trivial edge kernel, Bulletin of the London Mathematical Society  43, 2011, pp. 799-804.

  22. More on Moore graphs, Journal of Combinatorial Theory, Series A, 120, 2013, pp. 509-513

  23. (with B. Stellmacher) Locally s-transitive graphs, Journal of Algebra 441, 2015, pp. 243-293.

  24. (with B. Stellmacher) On locally s-arc transitive graphs that are not of local characteristic p, Journal of Algebra 528, 2019, pp. 1-37.

  25. Four vertex stabilizer amalgams for locally s-arc transitive graphs of Pushing Up Type, Journal of Algebra 633, 2023, pp. 56-68.



Survey papers

  1. Towards a classification of distance-transitive graphs, in: R.I.M.S. Kokyuroku 1063, 1998, pp. 72-83.

  2. The classification of affine distance-transitive graphs, Rendiconti del Seminario Matematico di Messina, Serie II, Tomo XXV, vol. n.9, 2003, pp. 32-42.

  3. Finite primitive distance-transitive graphs, European Journal of Combinatorics 28, 2007, pp. 517-532.



Preprints

  1. Distance-regular Antipodal covers of Johnson and Hamming graphs, report PM-N8701, 1987.

  2. (with N. Inglis and J. Saxl) Multiplicity-free permutation representations of the linear groups revisited, preprint 2012.

  3. A locally 5-arc transitive graph related to PSU(3,8), preprint 2019