Papers & Talks

Publications, preprints, and conference presentations.

1. Peer-Reviewed Journal Articles
2. Unpublished Papers
3. Drafts in Preparation
4. Presentations

Peer-Reviewed Journal Articles

1. L. M. B. Varona. MatrixBandwidth.jl: Fast algorithms for matrix bandwidth minimization and recognition. Journal of Open Source Software, 2025. doi:10.21105/joss.09136

Unpublished Papers

1. L. M. B. Varona. A polynomial-time algorithm for recognizing high-bandwidth graphs. arXiv:2602.01755 [cs.DS], 2026. Under review at Discrete Applied Mathematics.

2. F. A. Steinke and L. M. B. Varona. Efficient spectral bounds on the chromatic number of Hamming, Johnson, and Kneser graph powers. arXiv:2601.01962 [math.CO], 2026. Under review at the Rose-Hulman Undergraduate Mathematics Journal.

3. N. Johnston, S. Plosker, C. Torrance, and L. M. B. Varona. Generalizing the Cauchy–Schwarz inequality: Hadamard powers and tensor products. arXiv:2507.10327 [math.FA], 2025. Under review at Linear and Multilinear Algebra.

Drafts in Preparation

1. C. Brett and L. M. B. Varona. The effects of changes in effective prices of services on municipal tax rates: evidence from New Brunswick (working title).

2. W. A. Hunt and L. M. B. Varona. Foundational models of sociopolitical change lag behind the ongoing reality of an algorithmic revolution (working title).

3. L. M. B. Varona. Formal language learning in bandwidth-constrained recurrent neural networks (working title).

4. N. Johnston, S. Plosker, and L. M. B. Varona. Laplacian integral and \(\{-1,0,1\}\)-diagonalizable graphs (working title).

Presentations

1. Spectral Heuristics for \(k\)-Incoherent Decompositions. Atlantic Undergraduate Physics and Astronomy Conference 2026, UPEI (Charlottetown, PE). March 2026. [PDF] [source code]

2. Advancements in Graph Bandwidth Reduction. Science Atlantic MSCS Conference 2025, Cape Breton University (Sydney, NS). October 2025. 2nd Place Undergraduate Research Award for Computer Science. [PDF] [source code]

3. \(S\)-Bandwidth as an Indicator of PST on Quantum Networks. Atlantic Undergraduate Physics and Astronomy Conference 2025, Memorial University of Newfoundland (St. John’s, NL). February 2025. [PDF] [source code]

4. Computing the \(S\)-Bandwidth of a Quantum Network. Science Atlantic MSCS Conference 2024, Acadia University (Wolfville, NS). October 2024. [PDF] [source code]