†† Associate Professor,
Office: 6L05 Lockhart Hall
Phone: (204) 786-9346
Fax: (204) 774-4134
MATH-3401† Graph Theory
MATH-1401† Discrete Math
MATH-2106 Intermediate Calculus II
MATH-1401 Discrete Math
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.†
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
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.†
I am a member of the following mathematical societies:
Last update:† July 7, 2014.