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 2013:

*      MATH-3401Graph Theory

*      MATH-1401Discrete Math

Winter 2014:

*      MATH-2106 Intermediate Calculus II

*      MATH-1102 Basic Calculus

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.This summer I am working with an undergraduate research student on finding the metric and partition dimension of hypergraphs.

 

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. Submitted 2013.

*      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, Volume71 (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.Masterís 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:October 23, 2013.