Publications
- (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.
- (with A.M. Cohen and H. Cuypers)
Graphs Related to Held's Simple Group,
Journal of Algebra 123, 1989, pp. 6-26.
- (with A.M. Cohen) Linear Groups and Distance-transitive Graphs,
European Journal of Combinatorics 10, 1989, pp. 399-411.
- Affine Distance-transitive Groups, Thesis,
Rijksuniversiteit te Utrecht, 1990.
- On distance-transitive graphs and involutions,
Graphs and Combinatorics 7, 1991, pp. 377-394.
- (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.
- Affine Distance-transitive Graphs with Quadratic
forms, Mathematical Proceedings of the Cambridge
Philosophical Society 112, 1992, pp. 507-517.
- (with R. Weiss) A Characterization of the Groups Fi22, Fi23 and Fi24,
Forum Mathematicum 4, 1992, pp. 425-432.
- (with R. Weiss) An Existence Lemma for Groups Generated by 3-transpositions,
Inventiones Mathematicae 109, 1992, pp. 519-534.
- Affine Distance-transitive Groups,
Proceedings of the London Mathematical Society 67, 1993, pp. 1-52.
- 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.
- On locally Hoffman-Singleton graphs,
Journal of Combinatorial Theory, Series B, 63, 1995, pp. 159-161.
- Examples to a theorem of Weiss, Archiv der Mathematik 65, 1995, pp. 119-124.
- (with H. Cuypers and H. Van Maldeghem)
Hyperbolic lines in generalized polygons, Forum Mathematicum 8, 1996, pp. 343-362.
- (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.
- (with A.A. Ivanov and J. Saxl)
Affine distance-transitive graphs with sporadic stabilizer, European Journal of Combinatorics 20, 1999, pp. 163-177.
- (with H. Cuypers) Affine extensions of generalized polygons, European Journal of Combinatorics 20, 1999, pp. 571-588.
- (with A.M. Cohen)
Affine distance-transitive graphs and exceptional Chevalley groups,
Proceedings of the London Mathematical Society 83, 2001, pp. 51-70.
- Thompson-Wielandt like theorems revisited,
Bulletin of the London Mathematical Society
35, 2003, pp. 30-36.
- (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.
- On locally s-arc transitive graphs with trivial edge kernel,
Bulletin of the London Mathematical Society
43, 2011, pp. 799-804.
- More on Moore graphs,
Journal of Combinatorial Theory, Series A, 120, 2013, pp. 509-513
- (with B. Stellmacher) Locally s-transitive graphs,
Journal of Algebra 441, 2015, pp. 243-293.
- (with B. Stellmacher) On locally s-arc transitive graphs that are not of local characteristic p,
Journal of Algebra 528, 2019, pp. 1-37.
- Four vertex stabilizer amalgams for locally s-arc transitive graphs of Pushing Up Type,
Journal of Algebra 633, 2023, pp. 56-68.
Survey papers
- Towards a classification of distance-transitive graphs, in:
R.I.M.S. Kokyuroku 1063, 1998, pp. 72-83.
- The classification of affine distance-transitive graphs,
Rendiconti del Seminario Matematico di Messina, Serie II, Tomo XXV, vol. n.9, 2003, pp. 32-42.
- Finite primitive distance-transitive graphs, European Journal
of Combinatorics 28, 2007, pp. 517-532.
Preprints
- Distance-regular Antipodal covers of Johnson and Hamming graphs, report PM-N8701, 1987.
- (with N. Inglis and J. Saxl)
Multiplicity-free permutation representations of the linear groups
revisited, preprint 2012.
- A locally 5-arc transitive graph related to PSU(3,8), preprint 2019