Research
Most of my research is on distance-biregular graphs. From an algebraic perspective, distance-biregular graphs can be seen as a generalization of bipartite distance-regular graphs, with similarly nice algebraic and structural properties. Distance-biregular graphs also arise as extremal examples of graphs with certain structural or spectral properties, or from incidence structures in design theory and finite geometry.
I am also interested in poset saturation, orthogonal polynomials and quantum walks.
Papers
P-Polynomial and Bipartite Coherent Configurations
Preprint availablePolynomial Characterizations of Distance-Biregular Graphs
Preprint availableA Spectral Moore Bound for Bipartite Semiregular Graphs
Sabrina Lato, "A Spectral Moore Bound for Bipartite Semiregular Graphs." SIAM Journal on Discrete Math 37.1 (2023) 315-331.Perfect State Transfer on Oriented Graphs
Chris Godsil and Sabrina Lato, “Perfect State Transfer on Oriented Graphs.” Linear Algebra and Applications 604 (2020) 278-292.
Theses
Distance-Biregular Graphs and Orthogonal Polynomials
PhD thesisQuantum Walks on Oriented Graphs
Master's thesis