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 Unpublished Papers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. N. Johnston, S. Plosker, C. Torrance, and L. M. B. Varona. Generalizing the Cauchy–Schwarz inequality: Hadamard powers and tensor products. Linear and Multilinear Algebra, 2026. doi:10.1080/03081087.2026.2707240

2. 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Unpublished Papers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. N. Johnston, S. Plosker, and L. M. B. Varona. Enumeration of Laplacian integral and \(\{-1,0,1\}\)-diagonalizable graphs. E-print: arXiv:2607.06336 [math.CO], 2026.

2. L. M. B. Varona. A polynomial-time algorithm for recognizing high-bandwidth graphs. E-print: arXiv:2602.01755 [cs.DS], 2026.

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

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).

Presentations

1. Heuristic Bandwidth Reduction Algorithms for Weighted Graphs. East Coast Combinatorics Conference 2026, Mount Allison University (Sackville, NB). July 2026. [PDF] [source code]

2. Spectral Heuristics for \(k\)-Incoherent Decompositions. Atlantic Undergrad. Physics & Astro. Conference 2026, University of Prince Edward Island (Charlottetown, PE). March 2026. [PDF] [source code]

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

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

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