A. J. W. Hilton

Emeritus Professor (Reading)
Professorial Research Fellow (Queen Mary)

Winner of the 1998 Euler medal of the Institute for Combinatorics and its Applications

Read the Euler medal citation (.pdf) (.doc)

Recent Publications and Preprints

1. "On the chromatic index of graphs whose core has maximum degree two." (with David Cariolaro)
2. "A graph-theoretical generalisation of Berge's analogue of the Erdos-Ko-Rado theorem." (with C.L. Spencer), Trends in Graph Theory, Birkhauser Verlag, Basel, Switzerland, 2006, pp 225-242.
3. "Cycle decompositions of the complete graph." (with Matthew Johnson), Ars Combinatoria (to appear).
4. "Semiregular Factorizations of Simple Graphs." (with Jerzy Wojciechowski), AKCE Int. J. Graphs Comb. 2 (2005), no. 1, 57-62.
5. "On the number of (r, r+1)-factors in an (r, r+1)-factorization of a simple graph."
6. "The k-fold Hall number of cycles."
7. "List Multicolourings of Graphs with Measurable Sets." (with P.D.Johnson,Jr.), Journal of Graph Theory (to appear).
8. "(r,r+1)-factorizations of (d,d+1)-graphs.", Discrete Math. (to appear).
9. "The domination number of cubic Hamiltonian graphs." (with M.Cropper, D.Greenwell and A.Kostochka), AKCE Int. J. Graphs Comb. 2 (2005), no. 2, 137-144.
10. "An application of Tutte's theorem to 1-factorization of regular graphs of high degree." (with David Cariolaro), Discrete Math. (to appear).
11. "Degree bounded factorizations of bipartite graphs and of pseudographs."
12. "A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table." (with Claire Spencer)
13. "The k-fold list colouring of cycles with Hall's condition." (with M.M.Cropper, P.D.Johnson,Jr. and J.Lehel)