Browsing Mathematics (Faculty of) by Author "Lato, Sabrina"

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Distance-Biregular Graphs and Orthogonal Polynomials

Lato, Sabrina (University of Waterloo, 2023-09-15)

This thesis is about distance-biregular graphs– when they exist, what algebraic and structural properties they have, and how they arise in extremal problems. We develop a set of necessary conditions for a distance-biregular ...
Quantum Walks on Oriented Graphs

Lato, Sabrina (University of Waterloo, 2019-01-11)

This thesis extends results about periodicity and perfect state transfer to oriented graphs. We prove that if a vertex a is periodic, then elements of the eigenvalue support lie in Z √∆ for some squarefree negative ...