Associate Professor, University of Winnipeg Adjunct Professor, University of Regina 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 R3B 2E9 |
Fall Term 2017: MATH-3401 Graph Theory MATH-1401 Discrete Math |
Winter Term 2018: MATH-1201 Linear Algebra I MATH-2203 Linear Algebra II MATH-2106 Intermediate Calculus II |
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. Last summer I worked 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
K. Chau and S. Gosselin, The
metric dimension of circulant graphs and their
Cartesian products. Opuscula Mathematica, Volume 37, no. 4 (2017), pp. 509-534.
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: July 3, 2017.