27th Conference of the International Linear Algebra Society (ILAS 2026)

Graph Products to Achieve few Distinct Eigenvalues

May 21, 2026, 2:50 PM

25m

Goodwin Hall 155 (Virginia Tech)

Minisymposium Talk The Inverse Eigenvalue Problem of a Graph and Zero Forcing The Inverse Eigenvalue Problem of a Graph and Zero Forcing

Speaker

Mark Kempton (Brigham Young University)

Description

One of the most challenging aspects of graph inverse eigenvalue problems is knowing when a graph admits a matrix with few distinct eigenvalues. We will discuss results where we construct matrices with only two distinct eigenvalues corresponding to graphs that arise from various kinds of product structures. We will discuss also some directions for future work along these lines.