Associate Professor, University of Winnipeg Adjunct Professor, |
Shonda Gosselin
Dept. of Mathematics and Statistics R3B 2E9 Office: 6L05 Lockhart Hall Phone: (204) 786-9346 Fax:
(204) 774-4134 E-mail: s.gosselin@uwinnipeg.ca |
Fall 2015: MATH-3401 Graph Theory MATH-1401 Discrete Math |
Winter 2016: MATH-1201 Linear Algebra I 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. I am also interested in the problem of determining 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. 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,
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 (
The
SIAM Activity Group on Discrete Mathematics
The Canadian
Mathematical Society
The American
Mathematical Society
Last update: September 26, 2015.