Associate Professor, University of Winnipeg
Office: 6L05 Lockhart Hall
Phone: (204) 786-9346
Fax: (204) 774-4134
Fall Term 2016:
MATH-3401 Graph Theory
MATH-1201 Linear Algebra I
MATH-1102 Basic Calculus
Winter Term 2017:
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.
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.
S. Gosselin. Self-complementary
hypergraphs. Ph.D. Thesis,
S. Gosselin. Regular two-graphs and equiangular lines. Masters Thesis, University of Waterloo (2004).
I am a member of the following mathematical societies:
Last update: September 6, 2016.