Papers & Talks

Publications, preprints, and conference presentations.

1. Peer-Reviewed Journal Articles
2. Submitted Papers & Preprints
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

Submitted Papers & Preprints

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. Formation of bounded-degree communication networks with endogenous link strength (working title).

2. L. M. B. Varona and W. A. Hunt. The evolution of digital capitalism: a new form of class politics in the algorithmic age (working title).

3. 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).

Presentations

1. Heuristic Bandwidth Reduction Algorithms for Weighted Graphs. 19^th East Coast Combinatorics Conference, Mount Allison University (Sackville, NB). July 2026. (Joint work with A. Matheson.) [PDF] [source code]

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

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

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

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