msvu.ca
Phone: 457-6262
Office: EV380
Emeritus
Research Interests:Combinatorial Design
Combinatorial block designs and their generalizations, including balanced incomplete bolcck designs (BIBDs), pairwise balanced designs (PBDs), group divisible designs (GDDs), transversal designs (TDs), perfect Mendelsohn designs (PMDs), generalized Steiner systems.
Graph decomposition problems, including decompositions of the complete symmetric directed multigraph into circuits.
Packings and coverings of block designs, including PMDs and other directed block designs, and their applications.
Resolvable block designs.
Latin squares and orthogonal arrays, including conjugate-orthogonal Latin squares, self-orthogonal Latin squares with symmetric orthogonal mates (SOLSSOMs), and their related tournament designs.
Quasigroups with two-variable identities, which can be associated with a class of generalized block designs and orthogonal arrays with interesting conjugacy properties.
Combinatorial structures with holes or incomplete combinatorial designs, including holey mutually orthogonal Latin squares (HMOLS) and holey SOLSSOMs (HSOLSSOMs).