Faculty of Science and Information Technology

Dr Jim MacDougall

• B.Sc. (Hons), Dalhousie
• M.A., Dalhousie
• M.Phil., Waterloo
• PhD. (Newcastle)

Graph labelings, in particular magic and anti-magic labelings. Related combinatorial arrays such as sparse magic and anti-magic squares (collaboration with W. D. Wallis, SIU and M. Miller, U of Newcastle).

Diophantine problems - problems in algebra and geometry that give rise to diophantine equations, especially elliptic curves. These include characterizing polynomials some or all of whose derivatives split into linear factors over the rational integers, and characterizing rational-sided polygons or polyhedra which have rational areas, volume or other parameters. (collaboration with R. H. Buchholz, DSTO)

Various problems in graph theory: the structure of the subgraph poset and universal graphs, graphs saturated with respect to triangles or other subgraphs (collaboration with R. B. Eggleton, ISU).

Linear algebras with various properties, including homogeneous algebras with a view to describing the structure of various classes, e.g. anti-commutative algebras, nilpotent algebras or quasi-division algebras; spaces of matrices of fixed rank or nilindex. (collaboration with L.G. Sweet, U of PEI)

• Discrete Mathematics

• 1981 - University of P.E.I Award for Teaching Excellence
• 1993 - elected Fellow of the Institute of Combinatorics and its Applications

• Graph Theory and Combinatorics
• Number Theory

• I. D. Gray (Ph.D), graph theory
• R. Cattell (Ph.D), graph theory
• J. Meyer (MMath), number theory
• C. Chisholm (MMath), number theory

• 2001 - present Senior Lecturer, University of Newcastle
• 1988 - 2001 Lecturer, University of Newcastle
• 1969 – 1987 Asst./Assoc. Prof., University of Prince Edward Island