Description: Description: Description: Description: Description: Description: Shonda at Godsil65 June 2014

 

Associate Professor, University of Winnipeg

 

   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

 

 

 

 

 

 

Teaching

 

Fall Term 2016:

*  MATH-3401 Graph Theory

*  MATH-1201 Linear Algebra I

*  MATH-1102 Basic Calculus

Winter Term 2017:

*  On sabbatical

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 have also studied the problem of determining under what conditions a Cayley digraph has a Hamiltonian cycle. Currently I am working on using algebraic techniques to construct hypergraph decompositions on different groups, and this summer I am working with an undergraduate summer research student on the problem of determining the metric dimension of Cayley hypergraphs and circulant graphs.

 

Here are the links to some conferences I have attended or will attend.

 

Publications

 

*  K. Chau and S. Gosselin, The metric dimension of circulant graphs and their Cartesian products. Submitted 2016.

*  A. Borchert and S. Gosselin, The metric dimension of circulant graphs and Cayley hypergraphs. Accepted to Utilitas Mathematica 2014, In Press.

*  S. Gosselin, A. Szymański and A.P. Wojda, Cyclic partitions of complete nonuniform hypergraphs and complete multipartite hypergraphs. Discrete Mathematics & Theoretical Computer Science, Volume 15, no. 2 (2013), pp. 215-222.

*  G. Andruchuk and S. Gosselin, A note on Hamiltonian circulant digraphs of outdegree three. Open Journal of Discrete Mathematics, Volume 2 (2012), pp. 160-163.

*  G. Andruchuk, S. Gosselin and Y. Zheng, Hamiltonian Cayley digraphs on direct products of dihedral groups. Open Journal of Discrete Mathematics, Volume 2 (2012), pp. 88-92.

*  S. Gosselin. Self-complementary non-uniform hypergraphs. Graphs and Combinatorics, Volume 28 (2012), pp. 615-635.

*  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. Masters 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: September 6, 2016.