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

 

Associate Professor, University of Winnipeg

 

Adjunct Professor, University of Regina

 

Shonda Gosselin

 

Dept. of Mathematics and Statistics

University of Winnipeg

515 Portage Avenue

Winnipeg, Manitoba

CANADA

R3B 2E9

 

 

 

 

 

Office: 6L05 Lockhart Hall

Phone: (204) 786-9346

Fax: (204) 774-4134

E-mail: s.gosselin@uwinnipeg.ca

 

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

 

*  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: May 30, 2016.