Office: 6L05 Lockhart Hall

Phone: (204) 786-9346

Fax: (204) 774-4134

E-mail: s.gosselin@uwinnipeg.ca

Shonda Gosselin

 

Dept. of Mathematics and Statistics

University of Winnipeg

515 Portage Avenue

Winnipeg, Manitoba

CANADA

R3B 2E9

 

Assistant Professor, University of Winnipeg

 

Adjunct Professor, University of Regina

 

 

 

  Teaching

 

Fall 2012:

*      MATH-1103  Intro to Calculus I

*      MATH-1401  Discrete Math

Winter 2013:

*      MATH-3401  Graph Theory

*      MATH-1401  Discrete Math

Research Interests

My research is in the area of algebraic graph theory.  I am interested in the action of groups on graphs and hypergraphs.   Recently I have studied cyclic partitions of complete hypergraphs, which can be viewed as generalized self-complementary graphs.  I am also interested in the problem of determining under what conditions a Cayley digraph has a Hamiltonian cycle. 

 

Here are the links to some conferences I have attended recently. 

Publications

*      S. Gosselin, A. Szymański and A.P. Wojda, Cyclic partitions of complete nonuniform hypergraphs and complete multipartite hypergraphs. (Submitted 2010)

*      S. Gosselin. Self-complementary non-uniform hypergraphs.  To appear in Graphs and Combinatorics.  Published online July 27, 2011.

*      S. Gosselin. Constructing regular self-complementary uniform hypergraphs.  Journal of Combinatorial Designs, Volume 19 (2011), pp. 439-454.

*      S. Gosselin. Vertex-transitive q-complementary uniform hypergraphs. Electronic Journal of Combinatorics, Volume 18 (2011), no. 1, Research Paper 100, 19 pp.

*      S. Gosselin. Cyclically t-complementary uniform hypergraphs. European Journal of Combinatorics, Volume 31 (2010), pp. 1629-1636.

*      S. Gosselin.  Generating self-complementary uniform hypergraphs. Discrete Mathematics, Volume 310 (2010), pp. 1366-1372.

*      S. Gosselin.  Vertex-transitive self-complementary uniform hypergraphs of prime order.  Discrete Mathematics, Volume 310 (2010), pp. 671-680.

*      M. Fehr, S. Gosselin and O. Oellermann. The partition dimension of Cayley digraphs.  Aequationes Mathematicae, Volume  71 (2006), pp. 1-18.   

*      M. Fehr, S. Gosselin and O. Oellermann. The metric dimension of Cayley digraphs.  Discrete Mathematics, Volume 306 (2006), pp. 31-41. 

Dissertations

*      S. Gosselin. Self-complementary hypergraphs. Ph.D. Thesis, University of Ottawa (2009).

*      S. Gosselin.  Regular two-graphs and equiangular lines.  Master’s Thesis, University of Waterloo (2004).

 

My CV

 

Professional Societies

I am a member of the following mathematical societies:

*      The Society for Industrial and Applied Mathematics (SIAM)

*      The SIAM Activity Group on Discrete Mathematics

*      The Canadian Mathematical Society

*      The American Mathematical Society

 

Last update: May 8. 2011.