University of Manitoba

We first review some known results about resistance matrix of an undirected graph. We then define resistance distance in a strongly connected, directed graph. When the graph is balanced, that is, the indegree and the outdegree of any vertex are the...

The adjacency matrix A of a graph G is the Hamiltonian for a continuous-time quantum walk on the vertices of G. If u and v are distinct vertices in G, we say perfect state transfer from u to v occurs if there is a time t such that the (u,v)-entry of...

Let G be a simple connected graph and A(G) be its adjacency matrix. A nonsingular graph G is said to have the reciprocal eigenvalue property if the reciprocal of each eigenvalue of G is also an eigenvalue. Furthermore, if each eigenvalue of G and its...

Math Outreach: Many Needs, Many Ways I will present a wide range of math educational outreach activities involving elementary, middle and secondary level students. By expecting children to succeed, introducing new and exciting ways to teach...

Math Academy for incoming Indigenous Nursing Students. We will be working on basic skills to get them ready for their math course which starts in September.

During the workshop, we will do reading, research, reflection, and writing about issues of undergraduate mathematics education. Participants will get exposed to a variety of literature from various publications relating to mathematics education, as...

The Graduate Math Modelling in Industry Workshop is designed to provided graduate students in the mathematical sciences, and qualified advanced undergraduates, with training and first-hand experience in industrial research. This one week event in...

The Graduate Math Modelling in Industry Workshop is designed to provided graduate students in the mathematical sciences, and qualified advanced undergraduates, with training and first-hand experience in industrial research. This one week event in...

In meiosis, DNA is copied from parents to offspring, so that individuals who share common ancestors may have identical DNA copies from those ancestors through repeated meiosis. This identical-by-descent (IBD) DNA underlies the similarities between...

Dynamical systems concepts have mostly been developed to understand the behaviour of autonomous, i.e. input-free, nonlinear systems. Even in this case, it is well recognized that such systems can display a wide range of dynamical behaviours...