In preparation

  • Symmetric n-cycle systems on surfaces with Terry S. Griggs
  • Distributive and anti-distributive Mendelsohn quasigroups with Diane M. Donovan and Terry S. Griggs.

Submitted

  • Doubly even orientable closed 2-cell embeddings of the complete graph with Mike J. Grannell.
  • Triangulations of the sphere, bitrades and abelian groups with Simon R. Blackburn, submitted (arXiv)
  • Biembedding a Steiner triple system with a hamilton cycle decomposition of a complete graph, submitted.
  • Further biembeddings of twofold triple systems with Diane M. Donovan, Terry S. Griggs and James G. Lefevre, submitted.

In press

  • Distinct equilateral triangle dissections of convex regions with Nicholas J. Cavenagh, Diane M. Donovan, and James G. Lefevre, Commentationes Mathematicae Universitatis Carolinae, in press.
  • Cyclic biembeddings of twofold triple systems with Diane M. Donovan, Terry S. Griggs and James G. Lefevre, Annals of Combinatorics, in press.

2012

  • Small embeddings for partial 5-cycle systems with Geoffrey Martin in Journal of Combinatorial Designs vol: 20, Pages: 199-226.
  • Identifying flaws in the security of critical sets in latin squares via triangulations with Nicholas J. Cavenagh, Diane M. Donovan, Abdollah Khodkar and James G. Lefevre in The Australasian Journal of Combinatorics vol: 52, Pages: 243 - 268.

2011

  • The triangle intersection problem for nested Steiner triple systems with Diane M. Donovan, Elizabeth J. Billington, James G. Lefevre, and Curt Lindner in The Australasian Journal of Combinatorics vol: 51 , Pages: 221 - 234.
  • Self-embeddings of cyclic and projective Steiner quasigroups with Diane M. Donovan, Mike J. Grannell, Terry S. Griggs and James G. Lefevre in Journal of Combinatorial Designs vol: 19 , Issue: 1 , Pages: 16 - 27.
  • The Disjoint m-Flower Intersection Problem for Latin Squares with James G. Lefevre in Electronic Journal of Combinatorics vol: 18 , Issue: 1.

2010

  • The intersection problem for disjoint 2-flowers in Steiner triple systems in Journal of Combinatorial Mathematics and Combinatorial Computing vol: 75 , Pages: 41 - 63.
  • On defining sets in Latin squares and two intersection problems, one for Latin squares and one for Steiner triple systems in Bulletin of the Australian Mathematical Society vol: 82 , Issue: 2 , Pages: 351 - 352.