My main 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, and some incidence structures coming from design theory and finite geometry give rise to distance-biregular graphs.

I am also interested in orthogonal polynomials and quantum walks.

Papers:

• Polynomial Characterizations of Distance-Biregular Graphs
  Preprint available
• A 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.

Talks

• New Characterizations of Distance-Biregular Graphs (on Youtube)
• A Spectral Moore Bound for Bipartite Semiregular Graphs (on Youtube)
• Monogamy Violations in Perfect State Transfer (on Youtube)

Theses

• Distance-Biregular Graphs and Orthogonal Polynomials
  PhD thesis
• Quantum Walks on Oriented Graphs
  Master's thesis