Victoria Horan

United States Air Force Research Laboratory

Papers

Total Citations

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About

Victoria Horan is a mathematician whose work bridges discrete mathematics, combinatorics, and theoretical computer science, with a particular focus on de Bruijn sequences and toroidal arrays. Her most-cited paper, "Locating patterns in the de Bruijn torus" (2015), has garnered 17 citations and represents a key contribution to the study of pattern location in two-dimensional de Bruijn structures. Horan’s research explores the construction and properties of de Bruijn tori—cyclic arrays where every possible subarray of a given size appears exactly once—and develops algorithms for efficiently locating patterns within them. This work has implications for coding theory, cryptography, and DNA sequencing, where such sequences are used for error correction and data compression. Horan’s contributions are notable for their clarity and practical applicability, offering new methods for generating and navigating these complex combinatorial objects. Her achievements reflect a deep engagement with foundational problems in combinatorics, making her a valuable resource for students and researchers interested in the intersection of discrete structures and algorithmic design.